G. Berikelashvili, Construction and analysis of difference schemes for some elliptic problems, and consistent estimates of the rate of convergence. Mem. Differential Equations Math. Phys. 38 (2006), 1-131.
D. Kapanadze and B.-W. Schulze, Crack theory and edge singularities. Mathematics and its Applications, 561. Kluwer Academic Publishers Group, Dordrecht, 2003, 485 pp.
A. B. Kharazishvili, Strange functions in real analysis (Second edition). Pure and Applied Mathematics (Boca Raton), 272. Chapman & Hall/CRC, Boca Raton, FL, 2006.
S. Kharibegashvili, Some multidimensional problems for hyperbolic partial differential equations and systems. Mem. Differential Equations Math. Phys. 37 (2006), 1-136.
I. Kiguradze and B. Půza, Boundary value problems for systems of linear functional differential equations. Masaryk University, Brno, 2003, 108 pp.
A. Lomtatidze and S. Mukhigulashvili, Some two-point boundary value problems for second order functional differential equations. Masaryk University, Brno, 2000, 72 pp.
R. Abdulaev, The Morse formula for curves which are not locally simple. Georgian Math. J. 7 (2000), No. 4, 599-608.
R. Abdulaev, Polymersions of a disk with critical points on the boundary. Georgian Math. J. 8 (2001), No. 1, 1-11.
R. Abdulaev, On one theorem of S. Warschawski. Georgian Math. J. 10 (2003), No. 1, 1-15.
R. Agarwal and I. Kiguradze, On multi-point boundary value problems for linear ordinary differential equations with singularities. J. Math. Anal. Appl. 297 (2004), 131-151.
R. P. Agarwal and I. Kiguradze, Two-point boundary value problems for higher-order linear differential equations with strong singularities. Boundary Value Problems 2006, 1-32; Article ID 83910.
L. Akhobadze, V. Garsevanishvili et al., Analysis of the inclusive spectra of pi-mesons from nucleus-nucleus collisions in terms of light front variables. (Russian) Yad. Fiz. 63 (2000), 1670-1674; English transl.: Phys. Atom. Nucl. 63 (2000), 1584-1588.
L. Akhobadze, V. Garsevanishvili et al., Analysis of charged secondary hadrons in the collisions of relativistic nuclei in the framework of cluster cascading and partial stimulating models. Proc. Tbilisi State University, Physics 35 (2001), 152.
T. Aliashvili and G. Khimshiashvili, Integrable systems and intersections of quadrics. Proc. Inst. Cybernetics Georgian Acad. Sci. 3 (2004), No.1-2, 63-72.
T. Aliashvili and G. Khimshiashvili, Topologies of fibers of stable quadratic mappings. (Russian) Dokl. Akad. Nauk 408 (2006), no. 1, 7-10.
T. M. Aliashvili and G. N. Khimshiashvili, On the Euler characteristic of the intersection of quadrics. (Russian) Uspekhi Mat. Nauk 61 (2006), No. 3(369), 163-164.
N. Amaglobeli, V. Garsevanishvili et.al., Towards of light front variables for high energy production processes. Eur. Phys. J. C 8 (1999), 603-607.
M. Anikina, V. Garsevanishvili et al., Light front analysis of pi-mesons produced in Mg-Mg collisions at 4.3 AGeV/c. Nucl. Phys. A 640 (1998), 117-128.
M. Anikina, V. Garsevanishvili et al., The analysis of pi-mesons produced in nucleus-nucleus collisions at a momentum of 4.5 GeV/c per nucleon in light front variables. Eur. Phys. J. A 7(2000), 139-145.
D. Arlettaz and H. Inassaridze, Finite K-theory spaces. Math. Proc. Cambridgze Philos. Soc. 139 (2005), 261-286.
J.-M. Ash and Sh. T. Tetunashvili, Uniqueness for multiple trigonometric and Walsh series with convergent rearranged square partial sums. Proc. Amer. Math. Soc. 134 (2006), No. 6, 1681-1686 (electronic)
M. Ashordia, On boundary value problems for systems of linear generalized ordinary differential equations with singularities. (Russian) Differ. Uravn. 42 (2006), No. 3, 291-301; English transl.: Differential Equations 42 (2006), No. 3, 307-319.
M. Ashordia, On a method for constructing solutions of boundary value problems for linear generalized differential systems. (Russian) Differentsial’nye Uravneniya 43 (2007), No. 10, 1299-1310; English transl.: Differ. Equations 43 (2007), No. 10, 1-13.
M. Ashordia, On a priori estimates of bounded solutions of systems of linear generalized ordinary differential inequalities. Mem. Differential Equations Math. Phys. 41 (2007), 151-156.
M. Ashordia and G. Ekhvaia, Criteria of correctness of linear boundary value problems for systems of impulsive equations with finite and fixed points of impulses actions. Mem. Differential Equations Math. Phys. 37 (2006), 154-157.
M. Ashordia and N. Kekelia, On comparison theorems of stability between linear systems of ordinary, impulsive and difference equations and linear systems of generalized ordinary differential equations. Mem. Differential Equations Math. Phys. 39 (2006), 143-148.
U. Ashraf, M. Asif, and A. Meskhi, On a class of bounded and compact higher dimensional kernel operators. Proc. A. Razmadze Math. Inst. 144 (2007), 121-125.
J. Baacke and G. Lavrelashvili, One-loop corrections to the metastable vacuum decay. Phys. Rev. D 69 (2004), 025009; [arXiv:hep-th/0307202].
P. Babilua and M. Shashiashvili, The American put option in a one-dimensional diffusion model. Bull. Georgian Acad. Sci. 172 (2005), No. 2, 193-195.
M. Bakuradze, On Buchstaber Subring of Msp*. Georgian Math. J. 5 (1998), No. 5, 401-414.
M. Bakuradze, The transfer symplectic cobordism. Trans. Amer. Math. Soc. 349 (1998), No. 1, 4385-4399.
M. Bakuradze, On symplectic cobordism of real projective plane. Publ. Mat. 44 (2000), No. 1, 339-342.
M. Bakuradze, Morava K-theory ring for a quasi-dihedral group in Chern classes. (Russian) Tr. Mat. Inst. Steklova 252 (2006), 31-36, Geom. Topol., Diskret. Geom. i Teor. Mnozh.
M. Bakuradze, Rings in Morava K-theories of modular groups in terms of Chern classes. (Russian) Uspekhi Mat. Nauk 61 (2006), No. 3(369), 161-162.
M. Bakuradze, M. Jibladze, and V. V. Vershinin, Characteristic classes and transfer relations in cobordisms. (Russian) Uspekhi Mat. Nauk 56 (2001), No. 3(339), 157-158; English transl.: Russian Math. Surveys 56 (2001), No. 3, 572-574.
M. Bakuradze, M. Jibladze, V. V. Vershinin, Characteristic classes and transfer relations in cobordism. Proc. Amer. Math. Soc. 131 (2003), No. 6, 1935-1942.
M. Bakuradze and S.Priddy, Transfer and complex oriented cohomology rings. Algebr. Geom. Topol. 3 (2003), 473-509 (electronic).
M. Bakuradze and S. Priddy, Transferred Chern classes in Morava K-theory. Proc. Amer. Math. Soc. 132 (2004), No. 6, 1855-1860 (electronic).
M. Bakuradze and V. Vershinin, Morava K-theory rings for the dihedral, semidihedral and generalized quaternion groups in Chern classes. Proc. Amer. Math. Soc. 134 (2006), No. 12, 3707-3714 (electronic).
R. Bantsuri, Boundary value problems of the theory of analytic functions with displacements. Georgian Math. J. 6 (1999), No. 3, 213-232.
R. Bantsuri, On one mixed type boundary value problem of the theory of analytic functions. Proc. A. Razmadze Math. Inst. 121 (1999), 1-8.
R. Bantsuri, A survey of results in the plane theory of elasticity obtained by Georgian scientists during the last ten years. Mem. Differential Equations Math. Phys. 23 (2001), 3-16.
R. Bantsuri, On the splitting of an orthotropic plane. Proc. A. Razmadze Math. Inst. 130 (2002), 1-6.
R. Bantsuri, On a cut of a picewise-homogeneous orthotropic plane. Proc. A. Razmadze Math. Inst. 135 (2004), 41-47.
R. Bantsuri, On one mixed problem of the plane theory of elasticity with a partially unknown boundary. Proc. A. Razmadze Math. Inst. 140 (2006), 9-16.
R. Bantsuri, The problem of plate bending for the region with a partially unknown boundary. Proc. A. Razmadze Math. Inst. 143 (2007), 145-146.
R. Bantsuri, Solution of the mixed problem of plate bending for a multiconnected domain with partially unknown boundary in the presence of cyclic symmetry. Proc. A. Razmadze Math. Inst. 145 (2007), 9-22.
R. Bantsuri and S. Mzhavanadze, The mixed problem of the theory of elasticity for a rectangle weakened by unknown equiv-string holes. Proc. A. Razmadze Math. Inst. 145 (2007), 23-33.
R. Bantsuri and N. Shavlakadze, The contact problem for an anisotropic wedge with an elastic strengthening of varying rigidity. (Russian) Prikl. Mat. Mekh. 66 (2002), No. 4, 683-689; English transl.: J. Appl. Math. Mech. 66(2002), No. 4, 645-560.
R. Bantsuri and N. Shavlakadze, The bending problem of beam lying on the elastic basics (Russian). Prikl. Mat. Mekh. 69 (2005), No. 2, 296-302. English transl: J. Appl. Math. Mech. 69 (2005), No. 2.
S. Baslandze and I. Kiguradze, On the unique solvability of a periodic boundary value problem for third order linear differential equations. (Russian) Differ. Uravn. 42 (2006), No. 2, 153-158; English transl.: Differential Equations 42 (2006), No. 2, 165-171.
F. W. Bauer and T. Datuashvili, Closed model category structures on the category of chain functors. Topology Appl. 131 (2003), No. 2, 101-128.
F.W. Bauer and T. Datuashvili, The existence of certain (co-)limits in the category of chain functors. J. Algebra Appl. 5 (2006), No. 4, 379-401.
F. W. Bauer and T. Datuashvili, Simplicial model category structures on the category of chain functors. Homology Homotopy Appl. 9 (2007), No. 1, 107-138.
H.-J. Baues, W. Dreckmann, V. Franjou, et T. Pirashvili, Foncteurs Polynômiaux et foncteurs de Mackey non linèares. Bull. Soc. Math. France 129 (2001), 237-257.
H.-J. Baues and M. Jibladze, Suspension and loop objects and representability of tracks. Georgian Math. J. 8 (2001), No. 4, 683-696.
H.-J. Baues and M. Jibladze, Suspension and loop objects in theories and cohomology. Georgian Math. J. 8 (2001), No. 4, 697-712.
H.-J. Baues and M. Jibladze, Classification of abelian track categories. K-Theory 25 (2002), No. 3, 299-311.
H.-J. Baues and M. Jibladze, The Steenrod algebra and theories associated to Hopf algebras. Homotopy theory. Appl. Categ. Structures 12 (2004), No. 1, 109-126.
H.-J. Baues and M. Jibladze, Secondary derived functors and the Adams spectral sequence. Topology 45 (2006), No. 2, 295-324.
H.-J. Baues and T. Pirashvili, Quadratic endofunctors of groups. Adv. Math. 141 (1999), 167-206.
H.-J. Baues and T. Pirashvili, A universal coefficient theorem for quadratic functors. J. Pure Appl. Algebra 148 (2000), No. 1, 1-15.
H. J. Baues and T. Pirashvili, Spaces associated to quadratic endofunctors of the category of groups. Extracta Math. 20 (2005), 99-136.
N. Berikashvili, Zur homologietheorie der faserungen. I. Proc. A. Razmadze Math. Inst. 116 (1998), 1-29.
N. Berikashvili, Zur homologietheorie von faserungen. II. Proc. A. Razmadze Math. Inst. 116 (1998), 31-99.
N. Berikashvili, From symplex to cube. Bull. Georgian Acad. Sci. 166 (2002), No. 2, 213-217.
N. Berikashvili, The second obstruction functor. Georgian Math. J. 13 (2006), No. 3, 419-432.
N. Berikashvili and M. Mikiashvili, The predifferential of a path fibration. Georgian Math. J. 11 (2004), No. 3, 415-424.
G. Berikelashvili, On the rate of convergence of the difference solution of the bending problem of the orthotropic plates. Proc. A. Razmadze Math. Inst. 118 (1998), 21-32.
G. Berikelashvili, The convergence of the difference solution to the third boundary value problem of elasticity theory. (Russian) Zh. Vychisl. Mat. Mat. Fiz. 38 (1998), No. 2, 310-314; English transl.: Comput. Math. Math. Phys. 38 (1998), No. 2, 300-304.
G. Berikelashvili, The difference schemes of high order accuracy for elliptic equations with lower derivatives. Proc. A. Razmadze Math. Inst. 117 (1998), 1-6.
G. Berikelashvili, On the definition of a nonlocal trace of a function. Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 13 (1998), No. 2, 2-5.
G. Berikelashvili, The convergence in of the difference solution to the third boundary value problem of elasticity theory. Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 14 (1999), No. 3, 24-26.
G. Berikelashvili, On the solvability of a nonlocal boundary value problem in the weighted Sobolev spaces. Proc. A. Razmadze Math. Inst. 119 (1999), 3-11.
G. Berikelashvili, The convergence rate of a finite-difference solution of the first boundary value problem for a fourth-order elliptic equation. (Russian) Differentsial’nye Uravneniya 35 (1999), No. 7, 958-963; English transl.: Differ. Equations 35 (1999), No. 7, 967-973.
G. Berikelashvili, Finite difference schemes for elliptic equations with mixed boundary conditions. Proc. A. Razmadze Math. Inst. 122 (2000), 21-31.
G. Berikelashvili, Finite difference schemes for some mixed boundary value problems. Proc. A. Razmadze Math. Inst. 127(2001), 77-87.
G. Berikelashvili, On convergence of difference schemes for the third boundary value problem of elasticity theory. (Russian) Zh. Vychisl. Mat. Mat. Fiz. 41 (2001), No. 8, 1242-1249; Englsh transl.: Comput. Math. Math. Phys. 41 (2001), No. 8, 1182-1189.
G. Berikelashvili, On the convergence of finite difference scheme for one nonlocal elliptic boundary value problem. Publ. Inst. Math. (Beograd) (N.S.) 70(84) (2001), 69-78.
G. Berikelashvili, On a nonlocal boundary value problem for a two-dimensional elliptic equation. Comput. Methods Appl. Math. 3 (2003), No. 1, 35-44.
G. Berikelashvili, On the convergence rate of a difference solution of a nonlocal boundary value problem for an elliptic equation. (Russian) Differentsial’nye Uravneniya 39 (2003), No. 4, 896-903.
G. Berikelashvili, On improved approximate solution of the Fredholm integral equation. Comput. Methods Appl. Math. 6 (2006), No. 3, 264-268.
G. Berikelashvili, To a nonlocal generalization of the Dirichlet problem. J. Inequal. Appl. 2006, Art. ID 93858, 6 pp.
G. Berikelashvili, M. M. Gupta, and M. Mirianashvili, Convergence of fourth order compact difference schemes for three-dimensional convection-diffusion equations. SIAM J. Numer. Anal. 45 (2007), No.1, 443-455.
N. Bezhanishvili, Varieties of two-dimensional cylindric algebras, II. Algebra Universalis 51 (2004), No. 2-3, 177-206.
N. Bezhanishvili, De Jongh’s characterization of intuitionistic propositional calculus. Festschrift for Dick de Jongh, University of Amsterdam, 2004.
N. Bezhanishvili and B. ten Cate, Transfer results for hybrid logic. Part I: the case without satisfaction operators. ILLC, University of Amsterdam, PP-2004-06.
N. Bezhanishvili and B. ten Cate, Transfer results for hybrid logic. I. The case without satisfaction operators. J. Logic Comput. 16 (2006), No. 2, 177-197.
N. Bezhanishvili, B. ten Cate, M. Marx, and P. Viana, Sahlqvist theory and transfer results for hybrid logic. Proceedings of Advances in Modal Logic, Manchester, 2004, 44-62.
G. Bezhanishvili, L. Esakia, and D. Gabelaia, Modal logic of submaximal and Nodec spaces. Festschrift for Dick de Jongh, University of Amsterdam, 2004, 1-13.
G. Bezhanishvili, L. Esakia, and D. Gabelaia, Some results on modal axiomatization and definability for topological spaces. Studia Logica 81 (2005), No. 3, 325-355.
G. Bezhanishvili and D. de Jongh, Intuitionistic logic. Course Notes of European Summer School in Logic Language and Information, Edinburgh, 2005.
N. Bezhanishvili and I. Hodkinson, All normal extensions of S5-squared are finitely axiomatizable. Studia Logica 78 (2004), 443-457.
N. Bezhanishvili and A. Kurz, Free modal algebras: A coalgebraic perspective. CALCO'07, LNCS 4624 (2007), 143-157; http://www.cs.le.ac.uk/people/nb118/Publications/calcofinal.pdf.
B. Blankleider and A. N. Kvinikhidze, Implementing PCAC in nonperturbative models of pion production. Few Body Syst. Suppl. 12(2000), 223-228; e-Print Archive: nucl-th/9912075.
B. Blankleider and A. N. Kvinikhidze, Complete set of electromagnetic corrections to the nucleon mass in the Jona-Nambu-Lasinio model. nucl-th/9906017; Nucl. Phys. A 670(2000), 210-213.
B. Blankleider and A. N. Kvinikhidze, Comment on "Nucleon form-factors and a nonpointlike diquark". Phys. Rev. C 62(2000), 039801, 6pp.
B. Blankleider and A. N. Kvinikhidze, Three-body problem at finite temperature and density. Phys. Rev. C 72 (2005), 054001.
B. Blankleider and A. N. Kvinikhidze, In-matter three-body problem. In the Proceedings of the Australian Institute of Physics 16th Biennial Congress 2005: Physics for the Nation, Canberra, Australia, 31 January – 4 February 2005, e-Print Archive: nucl-th/0502054.
B. Blankleider and A. N. Kvinikhidze, Generalized parton distributions for dynamical equation models. Nucl. Phys. A 784 (2007), 259-281.
G. Bogveradze and S. Kharibegashvili, On some problems with integral restrictions for hyperbolic second order equations and systems on a plane. Proc. A. Razmadze Math. Inst. 140 (2006), 17-48.
G. Bogveradze and S. Kharibegashvili, On the global and local solutions of the multidimensional Darboux problem for some nonlinear wave equations. Georgian Math. J. 14 (2007), No. 1, 65-80.
B. Bojarski and G. Khimshiashvili, Global geometric aspects of Riemann-Hilbert problems. Georgian Math. J. 8 (2001), No.4, 713-726.
B. Bojarski and G. Khimshiashvili, The geometry of Fredholm pairs and linear conjugation problems. Mem. Differential Equations Math. Physics 33 (2004), 25-45.
B. Bojarski and G. Khimshiashvili, The geometry of Kato Grassmannians. Central European Journal of Mathematics 3 (2005), No. 4, 1-13.
F. Borceux, G. M. Kelly, and G. Janelidze, Internal object actions. Commentationes Mathematicae Universitatis Carolinae 46 (2005), No. 2, 235-255.
F. Borceux, G. M. Kelly, and G. Janelidze, On the representability of actions in a semi-abelian category. Theory Appl. Categ. 14 (2005), No. 11, 244-286.
D. Bourn and G. Janelidze, Protomodularity, descent, and semidirect products. Theory Appl. Categ. 4 (1998), No. 2, 37-46.
D. Bourn and G. Janelidze, Characterization of protomodular varieties of universal algebras. Theory Appl, Categ. 11 (2003), No. 6, 143-147.
D. Bourn and G. Janelidze, Extensions with Abelian kernels in protomodular categories. Georgian Math. J. 11 (2004), No. 4, 645-654.
P. Breitenlohner, G. Lavrelashvili, and D. Maison, Mass inflation inside non-Abelian black holes. In: Proc. 8th Marcel Grossmann Meeting on General Relativity (Jerusalem, Israel, June 22-27, 1997), WS, 1999, p. 670-672.
P. Breitenlohner, G. Lavrelashvili and D. Maison, Mass inflation and chaotic behaviour inside hairy black holes. Nucl. Phys. B 524 (1998), 427-443.
P. Breitenlohner, G. Lavrelashvili, and D. Maison, Non-Abelian gravitating solitons with negative cosmological constant. Classical Quantum Gravity 21 (2004), 1667; [arXiv:gr-qc/0307029].
Y. Brihaye and G. Lavrelashvili, Euclidean solutions of Yang-Mills-dilaton theory. Phys. Lett. B 646 (2007), 112.
Y. Brihaye and G. Lavrelashvili, Euclidean solutions of Yang-Mills theory coupled to a massive dilaton. Phys. Lett. B 657 (2007), 130.
B. Broda, G. Duniec, and G. Khimshiashvili, The non-Abelian Stokes theorem in low dimensions. Mem. Differential Equations Math. Phys. 31 (2004), 5-14.
R. Brown and G. Janelidze, Galois theory of second order covering maps of simplicial sets. J. Pure Appl. Algebra 135 (1999), No. 1, 23-31.
R. Brown and G. Janelidze, Galois theory and a new homotopy double groupoid of a map of spaces. Homotopy theory. Appl. Categ. Structures 12 (2004), No. 1, 63-80.
W. Bruns and J. Gubeladze, Examples of infinitely generated Koszul algebras. Math. Nachr. 195 (1998), 47-59.
W. Bruns and J. Gubeladze, A regularity criterion for semigroup rings. Georgian Math. J. 6 (1999), No. 3, 259-262.
W. Bruns and J. Gubeladze, Rectangular simplicial semigroups. Commutative algebra, algebraic geometry, and computational methods (Hanoi, 1996), 201-213, Springer, Singapore, 1999.
W. Bruns and J. Gubeladze, Polytopal linear groups. J. Algebra 218 (1999), No. 2, 715-737.
W. Bruns and J. Gubeladze, Normality and covering properties for affine semigroups. J. Reine Angew. Math. 510 (1999), 161-178.
W. Bruns and J. Gubeladze, Polytopal linear retractions. Trans. Amer. Math. Soc. 354 (2002), 179-203.
W. Bruns and J. Gubeladze, Polyhedral algebras, arrangements of toric varieties, and their groups. Computational commutative algebra and combinatorics (Osaka, 1999), 1-51, Adv. Stud. Pure Math., 33, Math. Soc. Japan, Tokyo, 2002.
W. Bruns and J. Gubeladze, Semigroup rings and discrete geometry. Sémin. Congr. 6 (2002), 43-127.
W. Bruns and J. Gubeladze, Polytopal linear algebra. Beiträge Algebra Geom. 43 (2002), No. 2, 479-500.
W. Bruns and J. Gubeladze, Unimodular covers of multiples of polytopes. Doc. Math. 7 (2002), 463-480.
W. Bruns and J. Gubeladze, Polyhedral K_{2}. Manuscripta Math. 109 (2002), No. 3, 367-404.
W. Bruns and J. Gubeladze, Divisorial linear algebra of normal semigroup rings. Algebr. Represent. Theory 6 (2003), 139-168.
W. Bruns, J. Gubeladze, M. Henk, A. Martin, and R. Weismantel, A Counterexample to an integral analogue of Carathéodory theorem. J. Reine Angew. Math. 510 (1999), 179-185.
W. Bruns, J. Gubeladze, and and N. V. Trung, Problems and algorithms for affine semigroups. Semigroup Forum 64 (2002), 180-212.
W. Bruns and J. Gubeladze, Polytopes and K-theory. Georgian Math. J. 11 (2004), No. 4, 655-670.
T. Buchukuri, Some Boundary value problems of generalized electroelasticity. Bull. Georgian Acad. Sci. 164 (2001), No. 2, 211-215.
T. Buchukuri and O. Chkadua, Boundary problems of thermopiezoelectricity in domains with cuspidal edges. Georgian Math. J. 7 (2000), No. 3, 441-460.
T. Buchukuri and O. Chkadua, Boundary-value problems of piezoelectricity in domains with cuts. Mem. Differential Equations Math. Phys. 38 (2006), 138-140.
T. Buchukuri, O. Chkadua and R. Duduchava, Crack-type boundary value problems of electroelasticity. Integral Equations Operator Theory 47 (2003), No. 4, 417-441.
T. Buchukuri, O. Chkadua, and R. Duduchava, Crack-type boundary value problems of electroelasticity. Operator Theoretical Methods and Applications to Mathematical Physics. The Erhard Meister Memorial Volume, Operator Theory: Advances and Applications, Vol. 147, Birkhuser, Basel, 2004, 189-212.
T. Buchukuri, O. Chkadua, and R. Gachechiladze, Some dynamic problems of piezoelectricity in domains with cuts. Mem. Differential Equations Math. Phys. 38 (2006), 135-137.
T. Buchukuri, R. Duduchava, and L. Sigua, On interaction of electromagnetic waves with infinite bianisotropic layered slab. Math. Nachr. 280 (2007), No. 9-10, 1‑12.
I. Bukhnikashvili, On an approximate solution of the linear operator equation by Richardson's cyclic method. Proc. A. Razmadze Math. Inst. 126 (2001), 99-129.
I. Bukhnikashvili, Improvement of the Richardson's cyclic iterative method. Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math.14 (1999), No. 3, 18-30.
I. Bukhnikashvili, On one variant of Richardson’s cyclic iteration method. Bull. Georgian Acad. Sci. 166 (2002), No. 2, 222-226.
I. Bukhnikashvili, An approximate solution of linear algebraic equations with a matrix spectrum lying on two segments. Bull. Georgian Acad. Sci. 168 (2003), No. 3, 404-407.
I. Bukhnikashvili, To the problem of constructing a polynomial with small deviations on two segments. Proc. A. Razmadze Math. Inst. 140 (2006), 49-63.
M. Bunge, J. Funk, M. Jibladze, and T. Streicher, Distribution algebras and duality. Adv. Math. 156 (2000), No. 1, 133-155.
M. Bunge, J. Funk, M. Jibladze, and T. Streicher, The Michael completion of a topos spread. Special volume celebrating the 70th birthday of Professor Max Kelly. J. Pure Appl. Algebra 175 (2002), No. 1-3, 63-91.
M. Bunge, J. Funk, M. Jibladze, and T. Streicher, Definable completeness. Cahiers de Topologie et Géométrie Différentielle Catégoriques XLV-4 (2004), 243-266.
T. Burchuladze and D. Burchuladze, On Three-dimensional dynamic problems of generalized thermoelasticity. Georgian Math. J. 5 (1998), No. 1, 25-48.
T. Burchuladze and R. Rukhadze, Asymptotic distribution of eigenfunctions and eigenvalues of the basic boundary-contact oscillation problems of couplestress elasticity theory. Bull. Georgian Acad. Sci. 157 (1998), No. 1, 18-22.
T. Burchuladze and R. Rukhadze, Asymptotic distribution of eigenfunctions and eigenvalues of the basic boundary-contact oscillation problems of couplestress elasticity theory. Mem. Differential Equations Math. Phys. 15 (1998), 7-28.
T. Burchuladze and R. Rukhadze, Asymptotic distribution of eigen functions and eigen values of the basic boundary-contact oscillation problems of the classical theory of elasticity. Georgian Math. J. 6 (1999), No. 2, 107-126.
T. Burchuladze and R. Rukhadze, Asymptotic distribution of eigenelements of the basic two-dimensional boundary contact problems of oscillation in classical and couple-stress theories of elasticity. Georgian Math. J. 7 (2000), No. 1, 11-32.
T. Burchuladze, R. Rukhadze, and Yu. Bezhuashvili, On the matrix of fundamental solutions of the system of equations for oscillation of hemitropic micropolar medium. Bull. Georgian Acad. Sci. 159 (1999), No. 1, 32-36.
T. Burchuladze and M. Svanadze, Potential method in the linear theory of binary mixtures of thermoelastic solids. J. Thermal Stresses 23 (2000), No. 6, 601-626.
A. Carboni and G. Janelidze, Boolean Galois theories. Dedicated to Professor Hvedri Inassaridze on the occasion of his 70th birthday. Georgian Math. J. 9 (2002), No. 4, 645-658.
J.-M. Casas and T. Datuashvili, Noncommutative Leibniz-Poisson algebras. Comm. Algebra 34 (2006), No. 7, 24 p.
J. M. Casas, G. Ellis, M. Ladra and T. Pirashvili, Derived functors and the homology of n-types. J. Algebra 256 (2002), No. 2, 583-598.
J. M. Casas, M. Ladra, and T. Pirashvili, Crossed modules for Lie-Rinehart algebras. J. Algebra 274 (2004), No. 1, 192-201.
J. M. Casas, M. Ladra, and T. Pirashvili, Triple cohomology of Lie-Rinehart algebras and the canonical class of associative algebras. J. Algebra 291 (2005), 144-163.
J. M. Casas, J.-L. Loday and T. Pirashvili, Leibniz n-algebras. Forum Math. 14 (2002), No. 2, 189-207.
J. M. Casas and T. Pirashvili, Ten-term exact sequence of Leibniz homology. J. Algebra 231 (2000), No. 1, 258-264.
L. P. Castro, R. Duduchava and F.-O. Speck, Singular integral equations on piecewise smooth curves in spaces of smooth functions. Toeplitz matrices and singular integral equations (Pobershau, 2001), 107-144, Oper. Theory Adv. Appl., 135, Birkhäuser, Basel, 2002.
L. P. Castro, R. Duduchava, and F.-O. Speck, Localization and minimal normalization of mixed boundary value problem. Factorization, Singular Operators and Related Problems, Proceedings of the Conference in Honour of Professor Georgii Litvinchuk at Funchal, Portugal, 2002, 73-100, Kluwer, Dordrecht, 2004.
L. P. Castro, R. Duduchava, and F.-O. Speck, Finite interval convolution operators with transmission property. Integral Equations Operator Theory 52 (2005), 165-179.
L. P. Castro and D. Kapanadze, On wave diffraction by a half-plane with different face impedances. Math. Methods Appl. Sci. 30 (2007), No. 5, 513-527.
L. P. Castro and D. Kapanadze, A boundary-transmission problem with first and second kind conditions for the Helmholtz equation in Besov and Bessel potential spaces. Bull. Greek Math. Soc. 54 (2007), 79-96.
M. Cecchi, Z. Dosla, I. Kiguradze and M. Marini, On nonnegative solutions of singular boundary value problems for Emden-Fowler-type differential systems. Differential and Integral Equations 20 (2007), No. 10, 1081-1106.
G. Chavchanidze, Non-Noether symmetries in integrable models. J. Phys. A: Math. Gen. 37 (2004), 2253-2260, math-ph/0307018.
G. Chavchanidze, Involutive orbits of non-noether symmetry groups. J. Phys. A 38 (2005), 6517-6524, math-ph/0504060.
G. Chavchanidze, Non-noether symmetries in Hamiltonian dynamical systems. Mem. Differential Equations Math. Phys. 36 (2005), 81-134; math-ph/0405003.
G. Chavchanidze, Role of non-noether symmetry in integrability of dispersiveless long wave system. In: Mathematical Physics Proc. of 11th Regional Conference, World Scientific, 2005.
G. Chechelashvili and G. Jorjadze, Particle dynamics in the Liouville field and 2d gravity. Proceedings of the International Workshop ISPM (Tbilisi, September, 1998), Annecy LAAP, ENSLAAP-99, 1999, hep-th/9908206.
L. Chikvinidze, Approximation of functions in domains with a quasiconformal boundary in weighted plane integral metrics. (Russian) Theory of the approximation of functions (Russian) (Donetsk, 1998), 226-235, Tr. Inst. Prikl. Mat. Mekh., 3, Nats. Akad. Nauk Ukrainy Inst. Prikl. Mat. Mekh., Donetsk, 1998.
L. Chikvinidze, Local approximation of analytic functions and their derivatives in weight integral metrics in domains with a quasiconformal boundary. Bull. Georgian Acad. Sci. 158 (1998), No. 2, 197-199.
R. Chitashvili and M. Mania, Stochastic line integrals with respect to local martingales and semimartingales. Proc. A. Razmadze Math. Inst. 120 (1999), 1-26.
O. Chkadua, The Dirichlet, Neumann and mixed boundary value problems of the theory of elasticity in n-dimensional domains with boundaries containing closed cuspidal edges. Math. Nachr. 189 (1998), 61-105.
O. Chkadua, Solvability and asymptotics of solutions of crack-type boundary-contact problems of the couple-stress elasticity. Georgian Math. J. 10 (2003), No. 3, 427-465.
O. Chkadua and R. Duduchava, Asymptotics of solutions to some boundary value problems of elasticity for bodies with cuspidal edges. Mem. Differential Equations Math. Phys. 15 (1998), 29-58.
O. Chkadua and R. Duduchava, Asymptotics of solutions to a pseudodifferential equations. Bull. Georgian Acad. Sci. 158 (1998), No. 2, 207-210.
O. Chkadua and R. Duduchava, Asymptotics of potential-type functions. Bull. Georgian Acad. Sci. 159 (1999), No. 1, 23-27.
O. Chkadua and R. Duduchava, Asymptotics of solutions to the crack problem. Bull. Georgian Acad. Sci. 159 (1999), No. 3, 389-391.
O. Chkadua and R. Duduchava, Asymptotics of functions represented by potentials. Russian J. Math. Phys. 7 (2000), No. 1, 15-47.
O. Chkadua and R. Duduchava, Pseudodifferential equations on manifolds with boundary: Fredholm property and asymptotic. Math. Nachr. 222 (2001), 79-139.
O. Chkadua and R. Gachechiladze, Wedge-type boundary-contact dynamic problems of elasticity. Mem. Differential Equations Math. Phys. 38 (2006), 150-153.
L. Chkaidze, V. Garsevanishvili et. al., The analysis of pi-meson spectra in semicentral CC and CTa-collisions at a momentum of 4.2 GeV/c per Nucleon in terms of light front variables. JINR Communications, E1-2003-67, Dubna, 2003, 21pp.
L. Chkaidze, V. Garsevanishvili et. al., Light front variables in high energy hadron-hadron and nucleus-nucleus collisions. Phys. Part. Nucl. 34 (2003), 526.
M. M. Clementino, G. Janelidze, and D. Hofmann, Local homeomorphisms via ultrafilter convergence. Proc. Amer. Math. Soc. 133 (2004), No. 3, 917–922.
D. Conduché, H. Inassaridze, and N. Inassaridze, Mod q cohomology and Tate cohomology of groups. Prepublication 01-29 (2001), Institute de Recherche Mathematique de Rennes.
T. Datuashvili, Kan extension of internal functors. Algebraic approach. Georgian Math. J. 6 (1999), No. 2, 127-148.
T. Datuashvili, Kan extensions of internal functors. Nonconnected case. J. Pure Appl. Algebra 167 (2002), 195-202.
T. Datuashvili, Central series for groups with action and Leibniz algebras. Georgian Math. J. 9 (2002), No. 4, 671-681.
T. Datuashvili, Witt’s theorem for groups with action and free Leibniz algebras. Georgian Math. J. 11 (2004), No. 4, 691-712.
T. Datuashvili and T. Pirashvili, On (co)homology of 2-types and crossed modules. J. Algebra 244 (2001), 352-365.
G. Devdariani, G. Jaiani, D. Natroshvili, S. Kharibegashvili, Some mathematical problems related to the first approximation of I. Vekua’s theory for cusped prismatic shells. Appl. Math. Inform. 5 (2000), No. 2, 26-46.
Y. Domshlak, G. Kvinikadze, I. P. Stavroulakis, Sturmian comparison method: the version for the first order neutral differential equations. Math. Inequal. Appl. 5 (2002), No. 2, 247-256.
Y. Domshlak, N. Partsvania, and I. P. Stavroulakis, Oscillation properties of first order neutral differential equations near the critical states. Nonlinear Funct. Anal. & Appl. 9 (2004), No. 2, 173-184.
H. Dorn and G. Jorjadze, Oscillator quantization of the massive scalar particle dynamics on ads space-time. Phys. Lett. B 625 (2005), 117-126; e-Print Archive: hep-th/0507031.
H. Dorn and G. Jorjadze, On particle dynamics in ads(n+1) space-time. Fortschr. Phys. 53 (2005), 486-493; e-Print Archive: hep-th/0502081.
H. Dorn and G. Jorjadze, Massless scalar particle on AdS spacetime: Hamiltonian reduction and quantization. JHEP 0605:062, 2006; e-Print Archive: hep-th/0508072.
H. Dorn and G. Jorjadze, Boundary Liouville theory: Hamiltonian description and quantization. SIGMA 3 (2007), 012.
Z. Došla and I. Kiguradze, On vanishing at infinity solutions of second order linear differential equations with advanced arguments. Funkcial. Ekvac. 41 (1998), No. 2, 189-205.
Z. Došla and I. Kiguradze, On boundedness and stability of solutions of second order linear differential equations with advanced arguments. Adv. Math. Sci. Appl. 9 (1999), No. 1, 1-24.
R. Duduchava, The Green formula and layer potentials. Integral Equations Operator Theory 41 (2001), No. 2, 127-178.
R. Duduchava and D. Kapanadze, On the Prandtl equation. Georgian Math. J. 6 (1999), No. 6, 525-536.
R. Duduchava, R. Kirsch, and S. Rjasanow, On estimates of the Boltzmann collision operator with cut-off. J. Math. Fluid Mech. 7 (2005), 1-25.
R. Duduchava, R. Kirsch, and S. Rjasanow, On estimates of the Boltzmann collision operator with cutoff. J. Math. Fluid Mech. 8 (2006), No. 2, 242-266.
R. Duduchava, N. Krupnik and E. Shargorodsky, An algebra of integral operators with fixed singularities in kernels. Integral Equations Operator Theory 33 (1999), No. 4, 406-425.
R. Duduchava, D. Mitrea, and M. Mitrea, Differential operators and boundary value problems on hypersurfaces. Math. Nachr. 279 (2006), No. 9-10, 996-1023.
R. Duduchava and D. Natroshvili, Mixed crack type problem in anisotropic elasticity. Math. Nachr. 191 (1998), 83-107.
R. Duduchava and S. Rjasanow, Mapping properties of the Boltzmann collision operator. Integral Equations Operator Theory 52 (2005), No. 1, 61-84.
R. Duduchava, A.-M. Sändig, and W. L. Wendland, Interface cracks in anisotropic composites. Math. Methods Appl. Sci. 22 (1999), No. 16, 1413-1446.
R. Duduchava and F.-O. Speck, Singular integral equations in special weighted spaces. Georgian Math. J. 7 (2000), No. 4, 633-642.
O. Dzagnidze, Allied integrals, functions and series for the unit sphere. Georgian Math. J. 5 (1998), No. 3, 213-232.
O. Dzagnidze, For Fourier analysis on the sphere. Bull. Georgian Acad. Sci. 158 (1998), No. 3, 357-360.
O. Dzagnidze, Separately continuous functions in new sense are continuous. Real Anal. Exchange 24 (1998/1999), No. 2, 695-702.
O. Dzagnidze, A radial derivative with boundary values of the spherical Poisson integral. Georgian Math. J. 6 (1999), No. 1, 19-32.
O. Dzagnidze, A necessary and sufficient condition for differentiability functions of several variables. Proc. A. Razmadze Math. Inst. 123 (2000), 23-29.
O. Dzagnidze, On the limit and continuity of functions of several variables. Proc. A. Razmadze Math. Inst. 124 (2000), 23-29.
O. Dzagnidze, The continuity and the limit in the wide. Their connection with the continuity and limit. Proc. A. Razmadze Math. Inst. 128 (2002), 37-46.
O. Dzagnidze, Unilateral in various senses: the limit, continuity, partial derivative and the differential for functions of two variables. Proc. A. Razmadze Math. Inst. 129 (2002), 1-15.
O. Dzagnidze, Relation between the continuity of a function gradient and the finiteness of its strong gradient. Proc. A. Razmadze Math. Inst. 135 (2004), 57-59.
O. Dzagnidze, A criterion of joint C-differentiability and a new proof of Hartogs main theorem. J. Appl. Anal. 13 (2007), No. 1, 13-17.
O. Dzagnidze and G. Oniani, On one analogue of Lebesgue theorem on the differentiation of indefinite integral for functions of several variables. Proc. A. Razmadze Math. Inst. 132 (2003), 139-140.
O. Dzagnidze and G. Oniani, On one analogue of Lebesgue theorem on the differentiation of indefinite integral for functions of several variables. Proc. A. Razmadze Math. Inst. 133 (2003), 1-5.
A. Dzhishkariani, Stability of projection-iterative methods. (Russian) Zh. Vychisl. Mat. i Mat. Phys. 39 (1999), No. 7, 1074-1084; English transl.: Comput. Math. Math. Phys. 39 (1999), No. 7, 1034-1044.
A. Dzhishkariani, Method of Galerkin-Petrov. (Russian) Zh. Vichisl. Mat. i Mat. Fiz., 2003, No. 3, 71-87.
A. Dzhishkariani and G. Khvedelidze, Projective-iterative method of solution of integral equations. Proc. A. Razmadze Math. Inst. 120 (1999), 27-47.
A. Dzhishkariani and G. Khvedelidze, On projection-iteration method. Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 26 (2000), 3-14.
A. Dzhishkariani and A. Svanidze, On the residual convergence in projection and projective-iterative methods. Proc. A. Razmadze Math. Inst. 124 (2000), 31-54.
A. Dzhishkariani and A. Svanidze, On version of Galerkin-Petrov's method with iterations. Proc. A. Razmadze Math. Inst. 132 (2003), 71-87.
D. Edmunds and V. Kokilashvili, Two-weight compactness criteria for potential type operators. Proc. A. Razmadze Math. Inst. 117 (1998), 123-125.
D. Edmunds and V. Kokilashvili, On Fourier multipliers. J. Anal. Appl. 1 (2003), No. 3, 143-155.
D. Edmunds, V. Kokilashvili, and A. Meskhi, Boundedness and compactness of Hardy-type operators on Banach function spaces defined on measure spaces. Proc. A. Razmadze Math. Inst. 117 (1998), 7-30.
D. Edmunds, V. Kokilashvili, and A. Meskhi, Two-weight estimates for singular integrals defined on homogeneous type spaces. Canad. J. Math. 52 (2000), No. 3, 468-502.
D. Edmunds, V. Kokilashvili, and A. Meskhi, Weight inequalities for the integrals defined on homogeneous and nonhomogeneous type spaces. Georgian Math. J. 8 (2001), No. 1, 33-59.
D. Edmunds, V. Kokilashvili, and A. Meskhi, On Fourier multipliers in weighted Triebel-Lizorkin spaces. J. Inequal. Appl. 7 (2002), No. 4, 555-591.
D. E. Edmunds, V. Kokilashvili, and A. Meskhi, A trace inequality for generalized potentials in Lebesgue spaces with variable exponent. J. Funct. Spaces Appl. 2 (2004), No. 1, 55-69.
D. E. Edmunds, V. Kokilashvili, and A. Meskhi, Two-weight estimates in spaces for classical integral operators and applications to the norm summability of Fourier trigonometric series. Proc. A. Razmadze Math. Inst. 142 (2006), 123-128.
D. E. Edmunds, V. Kokilashvili, and A. Meskhi, On one-sided operators in variable exponent Lebesgue spaces. Proc. A. Razmadze Math. Inst. 144 (2007), 126-131.
D.-E. Edmunds, A. Meskhi, and A. Fiorenza, On a measure of non-compactness for some classical operators. Acta Math. Sin. (Engl. Ser.) 22 (2006), No. 6, 1847-1862.
D. E. Edmunds and A. Meskhi, Potential type operators in spaces. Z. Anal. Anwendungen 21 (2002), 681-690.
D. E. Edmunds and A. Meskhi, On a measure of non-compactness for maximal operators. Math. Nachr. 254/255 (2003), 97-106.
A. Elashvili and M. Jibladze, Hermite reciprocity for the regular representations of cyclic groups. Indag. Math. (N.S.) 9 (1998), No. 2, 233-238.
A. Elashvili and M. Jibladze, “Hermite reciprocity” for semi-invariants in the regular representations of cyclic groups. Proc. A. Razmadze Math. Inst. 119 (1999), 21-24.
A. Elashvili, M. Jibladze, and D. Pataraia, Combinatorics of necklaces and “Hermite reciprocity”. J. Algebraic Combin. 10 (1999), No. 2, 173-188.
A. Elashvili and V. Kac, Good gradings of simple Lie algebras. Amer. Mat. Soc. 213 (2005), 85-104.
A. Elashvili and G. Khimshiashvili, Isolated singularities and solvable Lie algebras. Bull. Georgian Acad. Sci. 171 (2005), No. 3, 416-419.
A. G. Elashvili and A. I. Ooms, On commutative polarizations. J. Algebra 264 (2003), 129-154.
A. Elashvili and D. Panyushev, A classification of the principal nilpotent pairs in simple Lie algebras and related problems. J. London Math. Soc. (2) 63 (2001), No. 2, 299-318.
A. Elashvili and G. Khimshiashvili, Isolated singularities and solvable Lie algebras. Bull. Georgian Acad. Sci. 172 (2006).
A. Elashvili and G. Khimshiashvili, Lie algebras of isolated binomial singularities. Bull. Georgian Acad. Sci. 174 (2006).
A. Elashvili and G. Khimshiashvili, Lie algebras of simple hypersurface singularities. J. Lie Theory 16 (2006), No. 4, 621-649.
M. Eliashvili, On the geometric formulation of the Chern-Simons theory and quantum Hall effect. Proc. Intern. Workshop ISPM. Tbilisi, September 1998 (Eds. M. Eliashvili, G. Jorjadze, G. Lavrelashvili, P. Sorba and A. Tavkhelidze), LAPTH, Annecy, France, 1999.
M. Eliashvili, Magnetic instability in a parity invariant two-dimensional fermion system. Int. J. Modern Physics B 14 (2000), No. 14, 1441.
M. Eliashvili and G. Tsitsishvili, On the magnetic momentum interaction in anyon superconductor. Phys. Rev. B 57 (1998), 2713.
M. Eliashvili and G. Tsitsishvili, On the thermal behaviour of spontaneous magnetic fields in dimensional QED. Proc. Int. Seminar “Mathematical Methods in Modern Theoretical Physics ISPM’98”, 1998, 153.
M. Eliashvili and G. Tsitsishvili, Chern-Simons theory and quantum fields in the lowest Landau level. Int. J. Modern Physics B 14 (2000), No. 14, 1429-1449.
M. Eliashvili and G. Tsitsishvili, Geometric transformations and NCCS theory in the lowest Landau level. Int. J. Modern Physics B 16, (2002), No. 25, 3725-3736.
M. Eliashvili and G. Tsitsishvili, Area preserving transformations in non-commutative space and NCCS theory. hep-th/0306249. Eur. Phys. J. C Part. Fields 32 (2003), 135-140.
M. Eliashvili and G.Tsitsishvili, On the NCCS model of the quantum Hall fluid. Eur. Phys. J. C 50 (2007), 1013-1017.
L. Ephremidze, On the integrability of the ergodic Hilbert transform for a class of functions with equal absolute values. Georgian Math. J. 5 (1998), No. 2, 101-106.
L. Ephremidze, On reverse weak (1.1) inequalities for the maximal operators with respect to arbitrary measures. Proc. A. Razmadze Math. Inst. 117 (1998), 119-120.
L. Ephremidze, On reverse weak (1,1) type inequalities for maximal operators with respect to arbitrary measures. Real Anal. Exchange 24 (1998/99), No. 2, 761-764.
L. Ephremidze, On approximate factorization of positively definite matrix functions of second order. Proc. A. Razmadze Math. Inst. 120 (1999), 49-56.
L. Ephremidze, The rearrangement inequality for the ergodic maximal function. Georgian Math. J. 8 (2001), No. 4, 727-732.
L. Ephremidze, On the uniqueness of maximal operators for ergodic flows. Rev. Mat. Complut. 15 (2002), No. 1, 75-84.
L. Ephremidze, On the uniqueness of the ergodic maximal function. Fund. Math. 174 (2002), No. 3, 217-228.
L. Ephremidze, On the generalization of the Stein-Weiss theorem for the ergodic Hilbert transform. Studia Math. 155 (2003), No. 1, 67-75.
L. Ephremidze, On the ergodic maximal equality. Proc. A. Razmadze Math. Inst. 132 (2003), 89-92.
L. Ephremidze, On a relationship between the integrabilities of various ergodic maximal functions. Proc. A. Razmadze Math. Inst. 132 (2003), 141-142.
L. Ephremidze, A new proof of the ergodic maximal equality. Real Anal. Exchange 29 (2003/04), No. 1, 1-3.
L. Ephremidze, The Stein-Weiss theorem for the ergodic Hilbert transform. Studia Math. 165 (2004), No. 1, 61-71.
L. Ephremidze, A new proof of the ergodic maximal equality. Real Anal. Exchange 29 (2003/04), No. 1, 409-411.
L. Ephremidze, On the uniqueness of two-sided ergodic maximal functions. Georgian Math. J. 12 (2005), No. 1, 45-52.
L. Ephremidze and N. Fujii, The John-Nirenberg inequality for ergodic systems. Proc. A. Razmadze Math. Inst. 145 (2007), 93-95.
L. Ephremidze, N. Fujii, and Y. Taresawa, The Riesz “rising sun” lemma for arbitrary Borel measures with some applications. J. Funct. Spaces Appl. 5 (2007), 319-331.
L. Ephremidze, G. Janashia, and E. Lagvilava, On the factorization of unitary matrix-functions. Proc. A. Razmadze Math. Inst. 116 (1998), 101-106.
L. Ephremidze, G. Janashia and E. Lagvilava, On the approximate factorization positive definite matrix-functions. (Russian) Uspekhi Mat. Nauk 54 (1999), No. 6, 161-162; English transl.: Russian Math. Surveys 54 (1999), No. 6, 1246-1247.
L. Ephremidze, G. Janashia and E. Lagvilava, On spectral factorization algorithm for polynomial matrix-functions. SIAM J. Appl. Math. 29 (2003), No. 1.
L. Ephremidze, G. Janashia, and E. Lagvilava, A new computational algorithm of spectral factorization for polynomial matrix-functions. Proc. A. Razmadze Math. Inst. 136 (2004), 41-46.
L. Ephremidze, V. Kokilashvili, and Y. E. Yldirir, On the inverse inequalities for trigonometric polynomial approximation in weighted Lorentz spaces. Proc. A. Razmadze Math. Inst. 144 (2007), 132-136.
L. Ephremidze, E. Lagvilava, and I. Janashia, New computational algorithm of spectral functions. Proc. A. Razmadze Math. Inst. 134 (2005), 137-142.
L. Ephremidze and R. Sato, A weighted ergodic maximal equality for nonsingular semiflows. Colloq. Math. 103 (2005), 207-213.
L. Ephremidze and R. Sato, On the generalization of the Riesz-Zygmund theorem for the ergodic Hilbert transform. Ergodic Theory Dynam. Systems 26 (2006), 1-10.
L. Ephremidze and S. Sato, On the generalization of the Riesz-Zygmund theorem for the ergodic Hilbert transform. Ergodic Theory Dynam. Systems 27 (2007), 113-122.
L. Ephremidze and T. Sobukawa, On the boundedness of the ergodic Hilbert transform in Lorentz spaces. Proc. A. Razmadze Math. Inst. 140 (2006), 160-162.
L. Esakia, The modalized Heyting Calculus: a conservative extension of the Intuitionistic Logic. J. Appl. Non-Classical Logics 16 (2006), No. 3/4, 349-366.
L. Esakia, M. Jibladze and D. Pataraia, Scattered toposes. Ann. Pure Appl. Logic 103 (2000), No. 1-3, 97-107.
L. Esakia, Intuitionistic logic and modality via topology. Provinces of logic determined. Ann. Pure Appl. Logic 127 (2004), No. 1-3, 155-170.
S. Esakia, V. Garsevanishvili et al., Multiplicity of secondary charged hadrons as a function of interacting protons in (p,d,He,C)Ta - collisions at an incident momentum of 2.3 GeV/c per nucleon. (Russian) Yad. Fiz. 61 (1998), 668-670; English transl.: Phys. Atom. Nucl. 61 (1998), 595-597.
S. Esakia, V. Garsevanishvili et al., Analysis of charged secondaries in hadron-nucleus and nucleus-nucleus collisions in terms of multivariate KNO-scaling. (Russian) Yad. Fiz. 61 (1998), 1460-1463; English transl.: Phys. Atom. Nucl. 61 (1998), 1356-1358.
Z. F. Ezawa, K. Hasebe and G. Tsitsishvili, Noncommutative geometry, extended algebra and Grassmannian solitons in multicomponent quantum Hall systems. Phys. Rev. B 67 (2003), 125314.
Z. F. Ezawa, K. Ishii, and G. Tsitsishvili, Anomalous diagonal resistivity and soliton lattice in bilayer quantum Hall systems. Physica B, available online at www.sciencedirect.com.
Z. F. Ezawa, K. Ishii, and G. Tsitsishvili, Interlayer phase coherence and dissipative soliton-lattice regime in bilayer quantum Hall systems. Physica E, available online at www.sciencedirect.com.
Z. F. Ezawa, S. Suzuki, and G. Tsitsishvili, Anomalous Hall resistance in bilayer quantum Hall systems. Phys. Rev. B 76 (2007), 045307.
Z. F. Ezawa and G. Tsitsishvili, SU(4) skyrmions and activation energy anomaly in bilayer quantum Hall systems. Phys. Rev. B 70 (2004), 125304.
Z. F. Ezawa and G. Tsitsishvili, Microscopic theory of skyrmions in quantum Hall ferromagnets. Phys. Rev. B 72 (2005), 115306.
Z. F. Ezawa and G. Tsitsishvili, Topological solitons in the noncommutative plane and quantum Hall skyrmions. Phys. Rev. D 72 (2005), 085002.
C. Ford, G. Jorjadze and G. Weigt, Gauge invariant reduction and integrability of SL(2,R)/U(1) WZNW theory. Turk. J. Phys. 24 (2000), 311.
C. Ford, G. Jorjadze and G. Weigt, Canonical buantisation of the SL(2,R)/U(1) gauged WZNW black hole model. Turk. J. Phys. 24 (2000), 319.
C. Ford, G. Jorjadze and G. Weigt, Integration of the SL(2,R)/U(1) gauged WZNW theory by reduction and quantum parafermions. Teor. Mat. Fiz.128 (2001) 249; English transl.: Theor. and Math. Phys.128 (2001), 1046.
C. Ford, G. Jorjadze and G. Weigt, Causal Poisson brackets of the SL(2,R) WZNW model and its coset theories. Phys. Lett. B 514 (2001), No. 3-4, 413-416.
V. Franjou and T. Pirashvili, On the Mac Lane cohomology for ring of integers. Topology 37 (1998), No. 1, 109-114.
V. Franjou and T. Pirashvili, Comparison of abelian categories recollements. Doc. Math. 9 (2004), 41-56.
D. Gabelaia, A. Kurucz, and M. Zakharyaschev, Products of transitive modal logics without the (abstract) finite modal property. Proceedings of AiML, 2004, September 2004, Manchester, U.K.
D. Gabelaia, A. Kurucz, F. Wolter, and M. Zakharyaschev, Products of “transitive” modal logics. J. Symbolic Logic 70 (2005), No. 3, 993-1021.
D. Gabelaia, A. Kurucz, F. Wolter, and M. Zakharyaschev, Non-primitive recursive decidability of products of modal logics with expanding domains. Ann. Pure Appl. Logic 142 (2006), No. 1-3, 245-268.
I. Gabisonia and A. Meskhi, Two weighted inequalities for a discrete Hilbert transform. Proc. A. Razmadze Math. Inst. 116 (1998), 107-122.
I. Gabisonia and A. Meskhi, Two-weight inequalities for a discrete Hardy operators and Hilbert transform. Bull. Georgian Acad. Sci. 158 (1998), No. 2, 191-193.
A. Gachechiladze, An implicit Signorini problem in the theory of elasticity. Bull. Georgian Acad. Sci. 157 (1998), No. 2, 192-196.
A. Gachechiladze, A maximum principle in Signorini problems. Bull. Georgian Acad. Sci. 164 (2001), No. 3, 436-439.
A. Gachechiladze, A maximum principle and the implicit Signorini problem. Mem. Differential Equations Math. Phys. 23 (2001), 17-50.
A. Gachechiladze, About generalization of one quasi-variational inequality. Bull. Georgian Acad. Sci. 167 (2003), No. 3.
A. Gachechiladze, On the uniqueness of solutions of some quasi-variational inequalities from control theory. Georgian Math. J. 11 (2004), No. 2, 229-242.
A. Gachechiladze and D. Natroshvili, Boundary variational inequality approach in the anisotropic elasticity for the Signorini problem. Georgian Math. J. 8 (2001), No. 3, 469-492.
R. Gachechiladze, Signorini's problem with friction for a layer in the couple-stress elasticity. Proc. A. Razmadze Math. Inst. 122 (2000), 45-57.
R. Gachechiladze, Unilateral contact of elastic bodies in couple – stress theory. Georgian Math. J. 8 (2001), No, 4,753-766.
R. Gachechiladze, Exterior problems with friction in the couple-stress elasticity. Proc. A. Razmadze Math. Inst. 133 (2003), 21-35.
R. Gachechiladze, On a consequence of generalized Signorini's problem. Mem. Differential Equations Math. Phys. 38 (2006), 141-145.
R. Gachechiladze, J. Gwinner, and D. Natroshvili, A boundary variational inequality approach to unilateral contact with hemitropic materials. Mem. Differential Equations Math. Phys. 39 (2006), 69-103.
R. Gachechiladze and O. Maisaia, Some qualitative problems of the linear elasticity theory. Mem. Differential Equations Math. Phys. 15 (1998), 59-80.
R. Gachechiladze and O. Maisaia, Signorini problem in couple-stress elasticity and its reduction to the boundary variational inequalities. Bull. Georgian Acad. Sci. 158 (1998), No. 1, 4-7.
R. Gachechiladze and O. Maisaia, Some boundary value problems of the couple-stress elasticity with frictions. Proc. A. Razmadze Math. Inst. 119 (1999), 25-41.
R. Gachechiladze and O. Maisaia, Problems of statics and dynamics of the couple-stress elasticity with regard for friction. Bull. Georgian Acad. Sci. 161 (2000), No. 1, 34-37.
R. Gachechiladze and O. Maisaia, Application of the method of boundary variational inequalities for problem of statics of the theory of elasticity with regard for friction. Bull. Georgian Acad. Sci. 161 (2000), No. 2, 198-200.
N. G. Gamkrelidze, On an inequality for a multidimensional characteristic function. (Russian) Teor. Veroyatnost. i Primenen. 45 (2000), No. 1, 175-177; English transl.: Theor. Probab. Appl. 45 (2001), No. 1, 133-135.
N. G. Gamkrelidze and T. Shervashidze, On a local limit theorem for lattice distributions. Proc. A. Razmadze Math. Inst. 130 (2002), 7-12.
V. Garsevanishvili and A. Tavkhelidze, Light front formalism in the quasi-potential approach in quantum field theory. (Russian) Fiz. Elem. Chast. Atom. Yadra 30 (1999), 613-659; English transl.: Phys. Part. Nucl. 30 (1999), 258-278.
A. Garzon and H. Inassaridze, Semidirect products of categorical groups. Obstruction theory. Homology Homotopy Appl. 3 (2001), No. 1, 111-138.
V. Georgiev and A. Meskhi, On weighted Strichartz estimates for inhomogeneous wave equation in odd dimensional spaces. Proc. A. Razmadze Math. Inst. 139 (2005), 96-99.
V. Gerdt, R. Horan, A. Khvedelidze, M. Lavelle, D. McMullan, and Yu Palii, On the Hamiltonian reduction of geodesic motion on SU(3) to SU(3)/SU(2). J. Math. Phys. 47 (2006), 11.
V. P. Gerdt, A. M. Khvedelidze and D. M. Mladenov, Analysis of constraints in light-cone version of SU(2) Yang-Mills mechanics. Proc. International Workshop Computer Algebra and its Applications to Physics, CAAP-2001, Dubna, 2002, E5-11-2001-279, 83-92.
V. Gerdt, A. Khvedelidze, and D. Mladenov, On application of involutivity analysis of differential equations to constrained dynamical systems. Proc. Seminar Symmetries and Integrable Models (Dubna, Russia, 2003), Electronic archive hep-th/0311174, 2003.
V. Gerdt , A. Khvedelidze, and Yu Palii, Towards an algorithmisation of the Dirac constraint formalism. In: Global Integrability of Field Theories. Proceedings of GIFT 2006, J.Calmet, W. M. Seiler, R. W. Tucker (Eds.), Cocroft Institute, Daresbury (UK), 2006, 135-154.
V. Gerdt, A. Khvedelidze, and Y. Palii, Deducing the constraints in the light-cone SU(3) Yang-Mills mechanics via Grebner bases. Computer Algebra in Scientific Computing, LNCS 470, Springer-Verlag Berlin Heidelberg, 2007, 145-159.
V. Ginzburg, Principal nilpotent pairs in a semisimple Lie algebra. I. Invent. Math. 140 (2000), No.3, 511-561. Appendix. A. G. Elashvili, D. Panyushev. Towards a classification of principal nilpotent pairs.
G. Giorgadze and G. Khimshiashvili, On Schrödinger equations of Okubo type. J. Dynam. Control Systems 10 (2004), No. 2, 171-186.
Z. Giunashvili, Phase space reduction from the point of view of noncommutative geometry. Proc. International Meeting, Mathematical Methods in Modern Theoretical Physics ISPM-98, 1998, 217-220.
Z. Giunashvili, Several cohomology algebras associated with Poisson structure. Georgian Math. J. 5 (1998), No. 6, 513-520.
Z. Giunashvili, Geometric control methods for quantum computations. Proc. International School and Workshop on Geometric and Group Theory Methods in Physics and Mathematics, 2003.
Z. Giunashvili, Noncommutative geometry of phase space. J. Math. Sci. (N. Y.) 119 (2004), No. 4, 459-493.
Z. Giunashvili, Noncommutative geometry of Poisson structures. New developments in mathematical physics research, 1-25, Nova Sci. Publ., Hauppauge, NY, 2004.
Z. Giunashvili, Noncommutative symplectic foliation, Bott connection and phase space reduction. Georgian Math. J. 11 (2004), No. 2, 255-282.
Z. Giunashvili, Hamiltonian Systems on Complex Grassmann Manifolds. Holonomy and Schrödinger Equation. J. Math. Sci. 137 (2006), No. 5.
Z. Giunashvili, Geometric methods of constructing of elements of quantum schemes. (Russian) Sovrem. mat. prilozh. 44 (2007), 71-112.
Z. Giunashvilili, Methods of geometric control theory for quantum computations. J. Math. Sci. 141 (2007), No. 2.
Z. Giunashvili, Noncommutative geometry of Poisson structures. J. Math. Sci. 141 (2007), No. 2.
A. Gogatishvili, Fractional maximal functions in weighted Banach spaces. Real Anal. Exchange 25(1999/2000), No. 1, 291-316.
A. Gogatishvili and J. Lang, The generalized Hardy operator with kernel and variable integral limits in Banach function spaces. J. Inequal. Appl. 4 (1999), No.1, 1-16.
A. Gogatishvili and L. Pick, Duality principles and reduction theorems. Math. Inequal. Appl. 3 (2000), No. 4, 539-558.
A. Gogatishvili and L. Pick, Discretization and antidiscretization of rearrangement-invariant norms. Publ. Mat. 47 (2003), No.2, 311-358.
A. Gogatishvili and T. Sobukawa, On the extrapolation estimates. Math. Inequal. Appl. 6 (2003), No. 1, 97-104.
S. A. Gogilidze, A. M. Khvedelidze, D. M. Mladenov, and H.-P. Pavel, Hamiltoniam reduction of SU(2) Dirac-Yang-Mills mechanics. Phys. Rev. D 57 (1998), 7488-7500.
S. A. Gogilidze, A. M. Khvedelidze, and V. N. Pervushin, Reduction in systems with local symmetries. (Russian) Fiz. Elem. Chastits. At. Yadra 30 (1999), 160-209; English transl.: Phys. Part. Nucl. 30 (1999), 66-86.
L. Gogolauri, The contact problem for an elastic orthotropic plate supported by periodically located bars of equal resistance. Georgian Math. J. 5 (1998), No. 3, 243-250.
L. Gogolauri, On one mixed type contact problem for an elastic anisotropic half-plane. Proc. A. Razmadze Math. Inst. 135 (2004), 73-78.
L. Gogolauri and N. Shavlakadze, The contact problem of bending of a rectangular elastic plate with an elastic inclusion. Proc. A. Razmadze Math. Inst. 126 (2001), 25-35.
E. Gordadze, On the boundary value problem of the linear conjugation for a piecewise smooth curve and for certain measurable coefficient. Bull. Georgian Acad. Sci. 158 (1998), No. 3, 363-366.
E. Gordadze, On the boundary value problem of linear conjugation in the case of non-smooth lines and some measurable coefficients. Proc. A. Razmadze Math. Inst. 123 (2000), 149-151.
E. Gordadze, On the boundary value problem of linear conjugation for Radon lines and some measurable coefficients. Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 15 (2000), No. 1-3, 3-5.
E. Gordadze, On one consequence of the theorem on weights. Proc. A. Razmadze Math. Inst. 126 (2001), 106-109.
E. Gordadze, On a problem of linear conjugation in the case of nonsmooth lines and some measurable coefficients. Georgian Math. J. 9 (2002), No. 3, 507-524.
E. Gordadze, On a boundary value problem of linear conjugation for unclosed arcs of the class R. Proc. A. Razmadze Math. Inst. 136 (2004), 137-140.
E. Gordadze, On the boundary value problem of linear conjugation on unclosed Carleson arcs. Proc. A. Razmadze Math. Inst. 143 (2007), 123-126.
R. Graef, R. Koplatadze, and G. Kvinikadze, Nonlinear functional differential equations with Property A and B. J. Math. Anal. Appl. 306 (2005), 136-160.
M. K. Grammatikopoulos and R. Koplatadze, nth order neutral differential equations. Georgian Math. J. 7 (2000), No. 2, 287-298.
M. K. Grammatikopulos, R. Koplatadze and G. Kvinikadze, Linear functional differential equations with Property A. J. Math. Anal. Appl. 284 (2003), No. 1, 294-314.
M. K. Grammatikopoulos, R. Koplatadze, and I. P. Stavroulakis, On the oscillation of solutions of first order differential equations with retarded arguments. Georgian Math. J. 10 (2003), No. 1, 63-76.
A. R. Grandjean, M. Ladra, and T. Pirashvili, CCG-homology of crossed modules via classifying spaces. J. Algebra 229 (2000), No. 2, 660-665.
J. Gubeladze, The isomorphism problem for commutative monoid rings. J. Pure Appl. Algebra 129 (1998), No. 1, 35-65.
J. Gubeladze, Toric degenerations and vector bundles. Proc. Amer. Math. Soc. 127 (1999), 3493-3494.
J. Gubeladze, K-theory of affine toric varieties. Homology Homotopy Appl. 1 (1999), 135-145.
J. Gubeladze, Regular analytic transformations of R^{2}. Ann. Polon. Math. 75 (2000), 99-109.
J. Gubeladze, Subintegral extensions and unimodular rows. Geometric and combinatorial aspects of commutative algebra (Messina, 1999), 221-225, Lecture Notes in Pure and Appl. Math., 217, Dekker, New York, 2001.
J. Gubeladze, Toric varieties with huge Grothendieck group. Adv. Math. 186 (2004), No. 1, 117-124.
J. Gubeladze, The nilpotence conjecture in K-theory of toric varieties. Invent. Math. 160 (2005), 173-216.
J. Gubeladze and Z. Mushkudiani, Commutator automorphisms of formal power series rings. Proc. Amer. Math. Soc., 2005 (appeared electronically).
V. Gupta, T. Shervashidze, and M. Craciun, Rate of approximation for certain Durrmeyer operators. Georgian Math. J. 13 (2006), No. 2, 277-284.
A. Guven and V. Kokilashvili, On the mean summability by Cesaro method of Fourier trigonometric series in two-weighted setting. J. Inequal. Appl. 2006, Art. ID 41837, 15 pp.
A. Guven and V. Kokilashvili, Two weight estimates for Fourier operators and Bernstein inequality. Proc. A. Razmadze Math. Inst. 143 (2007), 127-130.
J. Gvazava, On second order nonlinear equations with rectilinear characteristics. Georgian Math. J. 7 (2000), No. 2, 299-319.
J. Gvazava, General solutions and initial characteristic problems for second order nonlinear equations with rectilinear characteristics. (Russian) Liet. Mat. Rink. 40 (2000), No. 4, 459-474; English transl.: Lithuanian Math. J. 40 (2000), No. 4, 352-363.
J. Gvazava, Nonlocal and initial problems for quasilinear nonstrictly hyperbolic equations with general solutions represented by superposition of an arbitrary functions. Georgian Math. J. 10 (2003), No. 4, 687-707.
J. Gvazava, The mean value property for nonstrictly hyperbolic second order quasilinear equations and the nonlocal problems. Proc. A. Razmadze Math. Inst. 135(2004), 79-92.
J. Gvazava, On one nonlinear version of characteristic problem with a free support of data. Proc. A. Razmadze Math. Inst. 140 (2006), 91-107.
A. Gvelesiani, R. Tsitskishvili, and A. Tsitskishvili, Some aspects of the Earth’s dynamics in light of the tidal forces. J. Georgian Geophys. Soc. 8A (2004), 117-119.
A. Gvelesiani, R. Tsitskishvili, and A. Tsitskishvili, On the mechanism of the Earth’s hydromagnetic dynamo. J. Georgian Geophys. Soc. 8B (2004), 146-148.
A. Gvelesiani, R. Tsitskishvili, and A. Tsitskishvili, Some aspects of the magnetic geodynamo and geodynamics problems. (Russian) Trudy inst-ta geofiziki AN Gruzii 58 (2004).
R. Hakl, I. Kiguradze, and B. Půža, Upper and lower solutions of boundary value problems for functional differential equations and theorems on functional differential inequalities. Georgian Math. J. 7(2000), No. 3, 489-512.
R. Hakl and S. Mukhigulashvili, On one estimate for periodic functions. Georgian Math. J. 12 (2005), No. 1, 97-114.
R. Hakl and S. Mukhigulashvili, On a boundary value problem for n-th order linear functional differential systems. Georgian Math. J. 12 (2005), No. 2, 229-236.
R. Hakl and S. Mukhigulashvili, On a periodic boundary value problem for third order linear functional differential equations. Mem. Differential Equations Math. Phys. 41 (2007), 27-42.
R. Horan, A. Khvedelidze, M. Lavelle, and D. McMullan, Charges, monopoles and gauge invariance. Proc. NATO Advanced Research Workshop on Confinement, Topology, and other Non-Perturbative Aspects of QCD (Stara Lesna, Slovakia, January 21-27, 2002), Electronic archive hep-th/0204258, 2002.
H. Inassaridze, Algebraic K-theory of normed algebras. K-Theory 21 (2000), No. 1, 25-56.
H. Inassaridze, Higher non-abelian cohomology of groups. Glasgow Math. J. 44 (2002), No. 3, 497-520.
H. Inassaridze, Equivariant homology and cohomology of groups. Topology Appl. 153 (2005), 66-89.
H. Inassaridze and N. Inassaridze, New descriptions of the non-abelian homology of groups. Bull. Georgian Acad. Sci. 157 (1998), No. 2, 196-199.
H. Inassaridze and N. Inassaridze, The second and the third non-abelian homology of groups. Bull. Georgian Acad. Sci. 158 (1998), No. 3, 376-378.
H. Inassaridze and N. Inassaridze, Non-abelian homology of groups. K-Theory 18 (1999), No. 1, 1-17.
H. Inassaridze and T. Kandelaki, K-theory of stable generalized operator algebras. K-Theory 27 (2002), No. 2, 103-110.
N. Inassaridze, Relationship of non-abelian tensor products and non-abelian homology of groups with Whitehead's g functor. Proc. A. Razmadze Math. Inst. 117 (1998), 31-51.
N. Inassaridze, On nonabelian tensor product modulo q of groups. Comm. Algebra 29 (2001), no. 6, 2657-2687.
N. Inassaridze and E. Khmaladze, More about homological properties of precrossed modules. Homology Homotopy Appl. 2(2000), No. 7, 105-114.
N. Inassaridze, E. Khmaladze, and M. Ladra, Non-abelian tensor product of Lie algebras and its derived functors. Extracta Math. 17 (2002), No. 2, 281-288.
D. Israfilov, V. Kokilashvili, and S. Samko, Approximation in Lebesgue and Smirnov spaces with variable exponent. Proc. A. Razmadze Math. Inst. 143 (2007), 25-35.
G. Jaiani and S. Kharibegashvili, On a vibration of elastic cusped bars. Bull. TICMI 4 (2000), 24-28.
G. Jaiani and S. Kharibegashvili, Dynamical problems in the (0,0) and (1,0) approximations of a mathematical model of cusped bars. Functional-analytic and Complex Methods, Interactions, and Applications to Partial Differential Equations. Proceedings of the International Graz Workshop (Graz, Astrie, 12-16, February), 188-247, World Scientific, 2001.
G. Jaiani, S. Kharibegashvili, D. Natroshvili, and W. L. Wendland, Hierarchical models for elastic cusped plates and beams. Lecture notes of TICMI 4 (2003), 1-121.
G. Janashia and E. Lagvilava, A method of approximate factorization of positively definite matrix functions. Studia Math. 137 (1999), No. 1, 93-100.
G. Janelidze, Central extensions in Mal’tsev varieties. Theory Appl. Categ. 7 (2000), No. 10, 219-226.
G. Janelidze, Internal crossed modules. Georgian Math. J. 10 (2003), No. 1, 99-114.
G. Janelidze and M. Grandis, Galois theory of simplicial complexes. Topology Appl. 132 (2003), No. 3, 281-289.
G. Janelidze and G. M. Kelly, Central extensions in universal algebra: a unification of three notions. Algebra Universalis 44 (2000), No. 1-2, 123-128.
G. Janelidze and G. M. Kelly, A note on actions of a monoidal category. CT2000 Conference (Como). Theory Appl. Categ. 9 (2001/02), 61-91.
G. Janelidze and L. Márki, Kurosh-Amitsur radicals via a weakened Galois connection. Comm. Algebra 31 (2003), No. 1, 251-268.
G. Janelidze, L. Marki, and W. Tholen, Locally semisimple coverings. J. Pure Appl. Algebra 128 (1998), No. 3, 281-289.
G. Janelidze, L. Márki and W. Tholen, Semi-abelian categories. Category theory 1999 (Coimbra). J. Pure Appl. Algebra 168 (2002), No. 2-3, 367-386.
G. Janelidze and M. C. Pedicchio, Pseudogroupoids and commutators. Theory Appl. Categ. 8 (2001), No. 15, 408-456.
G. Janelidze and M. Sobral, Finite preorders and topological descent. I. Special volume celebrating the 70th birthday of Professor Max Kelly. J. Pure Appl. Algebra 175 (2002), No. 1-3, 187-205.
G. Janelidze and M. Sobral, Finite preorders and topological descent. II. Étale descent. J. Pure Appl. Algebra 174 (2002), No. 3, 303-309.
G. Janelidze, M. Sobral, and W. Tholen, Beyond Barr exactness: effective descent morphisms. Categorical foundations, 359-405, Encyclopedia Math. Appl., 97, Cambridge Univ. Press, Cambridge, 2004.
G. Janelidze and R. Street, Galois theory in symmetric monoidal categories. J. Algebra 220 (1999), No. 1, 174-187.
G. Janelidze and W. Tholen, Functorial factorization, well-pointedness and separability. J. Pure Appl. Algebra 142 (1999), No. 2, 99-130.
G. Janelidze and W. Tholen, Extended Galois theory and dissonant morphisms. Special volume on the occasion of the 60th birthday of Professor Michael Barr (Montreal, QC, 1997). J. Pure Appl. Algebra 143 (1999), No. 1-3, 231-253.
G. Janelidze and W. Tholen, Facets of descent III: Monadic descent for rings and algebras. Appl. Categ. Structures 12 (2004), No. 5-6, 461-477.
V. Jaoshvili and O. Purtukhia, Stochastic integral representation of functionals of Piosson processes II. Bull. Georgian Acad. Sci. 174 (2006), No. 2, 29-32.
M. Jibladze, Lower bagdomain as a glueing. Proc. A. Razmadze Math. Inst. 118 (1998), 33-41.
M. Jibladze and T. Pirashvili, On Kan fibrations for Maltsev algebras. Georgian Math. J. 9 (2002), No. 1, 71-74.
M. Jibladze and T. Pirashvili, Linear extensions and nilpotence of Malcev theories. Beiträge Algebra Geom. 46 (2005), 71-102.
M. Jibladze and T. Pirashvili, Quadratic maps and nilpotent groups of class two. Bull. Georgian Acad. Sci. 173 (2006), No. 2, 239-242.
M. Jibladze and T. Pirashvili, Quillen cohomology and Baues-Wirsching cohomology of algebraic theories. Cah. Topol. Géom. Différ. Catég. 47 (2006), No. 3, 163-205.
M. Jibladze and T. Pirashvili, Quadratic envelope of the category of class two nilpotent groups. Georgian Math. J. 13 (2006), No. 4, 693-722.
O. Jokhadze, On the boundary value problem in a dihedral angle for normally hyperbolic systems of first order. Georgian Math. J. 5 (1998), No. 2, 121-138.
O. Jokhadze, On the boundary value problems for normally hyperbolic systems of first order equations in the space. Rend. Mat. Appl. (7) 18 (1998), No. 3, 497-528.
O. Jokhadze, Of the Darboux type problem in the trihedral angly for hyperbolic type equations of third order. (Russian) Izv. Vyssh. Uchebn. Zaved. Mat. 442 (1999), No. 3, 22-30.
O. Jokhadze, The Goursat problem for hyperbolic systems of second order with nonsplited principal parts. (Russian) Differentsial’nye Uravneniya 38 (2002), No. 1, 87-92; English transl.: Differ. Equations 38 (2002), No.1, 93-98.
O. Jokhadze, A general boundary value problem of the Darboux type in the curvelinear angular domains for the third order equations with dominated lower terms. (Russian) Sibirsk. Mat. Zh. 43 (2002), No. 2, 295-313; English transl.: Siberian Math. J. 43 (2002), No. 2, 235-250.
O. Jokhadze, A Darboux type problem in a dihedral angle for some classes of third order equations. (Russian) Izv. Vyssh. Uchebn. Zaved. Mat. 492 (2003), No. 5, 9-20.
O. Jokhadze, Riemann function for hyperbolic equations and systems of higher order with dominates lower terms. (Russian) Differentsia’nye Uravneniya 39 (2003), No. 9, 1-13; English transl.: Differ. Equations 39 (2003).
O. Jokhadze, Influence of lower terms on the correctness of the formulation of characteristic problems for third order hyperbolic equations. (Russian) Mat. Zametki 74 (2003), No. 4.
O. Jokhadze, Laplace invariants for some classes of linear partial differential equations. (Russian) Differentsial’nye Uravneniya 40 (2004), No.1, 58-68.
O. Jokhadze, The three-dimensional generalized Goursat problem for a third-order equation and related general, two-dimensional Volterra integral equations of the first kind. (Russian) Differ. Uravn. 42 (2006), No. 3, 385-394.
O. Jokhadze and B. Midodashvili, High order spatial hyperbolic equations with dominated lower terms. (Russian) Izv. Vyssh. Uchebn. Zaved., Mat. 529 (2006), No. 4, 24-34.
N. Jorbenadze, A. Tsitskishvili, and R. Tsitskishvili, Influx of underground waters to a perfect water catcher of triangular shape. (Russian) Trudy Tbiliss. Univ. Mat. Mekh. Astronom. 346 (2003).
G. Jorjadze, Liouville field theory and 2d Gravity. Proceedings of the 10th International Seminar “Quarks-98”, Institute for Nuclear Research of the Russian Academy of Sciences, Moscow, 1999.
G. Jorjadze, S-matrix, vertex operators and correlation functions of Liouville theory. Fortschr. Phys. 52 (2004), No. 6-7, 555-560.
G. Jorjadze, A causal algebra for Liouville exponentials. Class. Quant. Grav. 23:6007-6014, 2006; e-Print Archive: hep-th/0512018.
G. Jorjadze and W. Piechocki, Dynamical ambiguities in a singular gravitational field. Classical Quantum Gravity 15 (1998), No. 5, L41-L45.
G. Jorjadze and W. Piechocki, Relativistic particle in singular gravitational field. Particles, fields, and gravitation (Łódź, 1998), 472-477, AIP Conf. Proc., 453, Amer. Inst. Phys., Woodbury, NY, 1998.
G. Jorjadze and W. Piechocki, A relativistic particle in the Liouville field. (Russian) Teor. Mat. Fiz. 118 (1999), No.2, 229-247; English transl.: Theor. Math. Phys. 118 (1999), No. 2, 183-196.
G. Jorjadze and W. Piechocki, Geometry of 2d spacetime and quantization of particle dynamics. Phys. Lett. B 461 (1999), No. 3, 183-188.
G. Jorjadze and W. Piechocki, Massless particle in 2d spacetime with constant curvature. Phys. Lett. B 448 (1999), No. 3-4, 203-208.
G. Jorjadze and W. Piechocki, Massless particle in 2d spacetime with constant curvature. Proceedings of the International Workshop ISPM (Tbilisi, September, 1998), Annecy LAAP, ENSLAAP-99, 1999.
G. Jorjadze and W. Piechocki, Particle in curved 2d space-time. Theoretical physics. Fin de siècle (Wrocł aw, 1998), 245-250, Lecture Notes in Phys., 539, Springer, Berlin, 2000.
G. Jorjadze and W. Piechocki, Particle dynamics on hyperboloid and unitary representation of SO(1,N) group. Phys. Lett. B 476 (2000), No. 1-2, 134-140.
G. Jorjadze and W. Piechocki, Global properties of 2d spacetime and quantization. Proceedings of XVII Workshop on Geometric methods in Physics, (Bialowieza, Poland, July 1998), Warsaw University Press, 2001, p. 181.
G. Jorjadze and G. Weigt, Poisson structure and Moyal quantisation of the Liouville theory. Nucl. Phys. B 619 (2001), No. 1-3, 232-256.
G. Jorjadze and G. Weigt, Quantisation of gauged SL(2,R) WZNW theories. Proceedings of the 35th International Symposium Ahrenshoop on the Theory of Elementary Particles (Berlin-Schmöckwitz, 2002). Fortschr. Phys. 51 (2003), No. 7-8, 753-758.
G. Jorjadze and G. Weigt, Joint description of periodic SL(2,R) WZNW model and its coset theories. 24th International Colloquium On Group Theoretical Methods In Physics: GROUP-24: (ICGTMP 2002, July 15-20, 2002), Paris, France, hep-th/0303130.
G. Jorjadze and G. Weigt, Correlation functions and vertex operators of Liouville theory. Phys. Lett. B 581 (2004), 133.
G. Jorjadze and G. Weigt, The Liouville field theory zero-mode problem. (Russian) Teor. Mat. Fiz. 139 (2004), 654; English transl.: Theor. Math. Phys. 139 (2004), 245.
T. Kadeishvili, Attaching cells and the rational homotopy type. Proc. A. Razmadze Math. Inst. 117 (1998), 53-70.
T. Kadeishvili, DG Hopf algebras with Steenrod’s i-th coproducts. Bull. Georgian Acad. Sci. 158 (1998), No. 2, 203-206.
T. Kadeishvili, DG Hopf algebras with Steenrods i-th coproducts. Proc. A. Razmadze Math. Inst. 119 (1999), 155-164.
T. Kadeishvili, Cochain operations defining Steenrod -products in the bar construction. Georgian Math. J. 10 (2003), No. 1, 115-125.
T. Kadeishvili, Measuring the noncommutativity of DG-algebras. Topology and noncommutative geometry. J. Math. Sci. (N. Y.) 119 (2004), No. 4, 494-512.
T. Kadeishvili, On the bar construction of a bialgebra. Homology, Homotopy Appl. 7 (2005), No. 2, 109-122.
T. Kadeishvili and S. Khazhomia, Simplicial cutting of a cubical set. Bull. Georgian. Acad. Sci. 167 (2003), No. 2, 205-209.
T. Kadeishvili and S. Saneblidze, The cobar construction as a cubical set. Bull. Georgian Acad. Sci. 158 (1998), No. 3, 367-369.
T. Kadeishvili and S. Saneblidze, Iterating the bar construction. Georgian Math. J. 5 (1998), No. 5, 441-452.
T. Kadeishvili and S. Saneblidze, Permutahedral complex modeling the double loop space. Proc. of the International Meeting ISPM-98, Mathematical Methods in Modern Theoretical Physics, School and Workshop, Tbilisi, Georgia, September 5-18, 1998.
T. Kadeishvili and S. Saneblidze, A cubical model for a fibration. J. Pure Appl. Algebra 196 (2005), No. 2-3, 203-228.
K. Kalashnikov and G. Khimshiashvili, Stochastically independent functions on closed surfaces. Bull. Georgian Acad. Sci. 170 (2004), No. 2, 235-238.
T. Kandelaki, On the universal C^{*}-algebra generated by a partial isometry. Georgian Math. J. 5 (1998), No. 4, 333-340.
T. Kandelaki, KK-theory as the K-theory of C^{*}-categories. Homology Homotopy Appl. 2 (2000), 127-145 (electronic).
T. Kandelaki, Algebraic and topological bivariant KK-theories of C^{*}-algebras and their isomorphism. Proc. A. Razmadze Math. Inst. 126 (2001), 108-110.
T. Kandelaki, Multiplier and Hilbert C^{*}-categories. Proc. A. Razmadze Math. Inst. 127 (2001), 89-111.
T. Kandelaki, Vanishing of Hochschild, cyclic and periodic homologies on the category of Fredholm modules. Proc. A. Razmadze Math. Inst. 131 (2003), 133-134.
T. Kandelaki, Karoubi-Villamayor K-theory, weakly stable C*-categoroids and KK-theory. Georgian Math. J. 11 (2004), No. 2, 283-299.
T. Kandelaki, Algebraic K-theory of Fredholm modules and KK-theory. J. Homotopy Related Structures 1 (2006), 195-218.
D. Kapanadze, Pseudo-differential equations in anisotropic weighted Bessel potential spaces with asymptotics. Mem. Differential Equations Math. Phys. 25 (2002), 121-149.
D. Kapanadze, Elastic potentials at corners in Sobolev spaces with asymptotics. Math. Methods Appl. Sci. 28 (2005), No. 8, 961-973.
D. Kapanadze and B.-W. Schulze, Boundary value problems on manifolds with exits to infinity. Rend. Sem. Mat. Univ. Politec. Torino 58 (2000), No. 3, 58-101.
D. Kapanadze and B.-W. Schulze, Pseudo-differential crack theory. Mem. Differential Equations Math. Phys. 22(2001), 3-76.
D. Kapanadze and B.-W. Schulze, Parameter-dependent boundary value problems on manifolds with exits to infinity. Geometry, analysis and applications (Varanasi, 2000), 93-117, World Sci. Publishing, River Edge, NJ, 2001.
D. Kapanadze and B.-W. Schulze, Symbolic calculus for boundary value problems on manifolds with edges. Integral Equations Operator Theory 45 (2003), 64-104.
D. Kapanadze and B.-W. Schulze, Boundary-contact problems for domains with conical singularities. J. Differential Equations 217 (2005), No. 2, 456-500.
D. Kapanadze, B.-W. Schulze and I. Witt, Coordinate invariance of the cone algebra with asymptotics. Oper. Theory Adv. Appl. 138 (2002), 307-358.
D. Kapanadze and B. Schulze, Boundary-contact problems for domains with edge singularities. J. Differential Equations 234 (2007), No. 1, 26-53.
T. Kavtaradze, N. Lazrieva, M. Mania, and P. Muliere, A Bayesian-martingale approach to the general disorder problem. Stochastic Process. Appl. 117 (2007), 1093-1120.
T. Kavtaradze, N. Lazrieva, and T. Toronjadze, The change-point problem for continuous martingales. Proc. A. Razmadze Math. Institute 137 (2005), 39-63.
M. Khabazi, Weighted norm inequalities for certain integral operators in Orlicz spaces. Bull. Georgian Acad. Sci. 158 (1998), No. 3, 361-362.
M. Khabazi, Modular weighted inequalities for partial sums of Fourier-Vilenkin series. Proc. A. Razmadze Math. Inst. 129 (2002), 53-63.
M. Khabazi, The mean convergence trigonometric Fourier series in weighted Orlicz classes. Proc. A. Razmadze Math. Inst. 129 (2002), 65-75.
M. Khabazi, Weighted Orlicz class inequalities for certain Fourier operators. Proc. A. Razmadze Math. Inst. 129 (2002), 77-86.
M. Khabazi, The maximal operator on spaces of homogeneous type. Proc. A. Razmadze Math. Inst. 138 (2005), 16-25.
A. B. Kharazishvili, On additive absolutely nonmeasurable Sierpiński-Zygmund functions. Real Anal. Exchange 31 (2005/06), No. 2, 553-560.
A. Kharazishvili, On some mutual positions of hyperplanes in a finite-dimensional affine space. Georgian Math. J. 13 (2006), No. 1, 101-108.
A. Kharazishvili, On decompositions of a cube into cubes and simplexes. Georgian Math. J. 13 (2006), No. 2, 285-290.
A. Kharazishvili, On the measurability of additive functionals. Georgian Math. J. 14 (2007), No. 1, 135-143.
A. Kharazishvili, Some combinatorial properties of finite line-systems in the Euclidean plane. Georgian Math. J. 14 (2007), No. 4, 681-686.
A. Kharazishvili, Some aspects of the measure extension problem. Proc. A. Razmadze Math. Inst. 143 (2007), 73-78.
A. Kharazishvili, Ergodic components and nonseparable extensions of invariant measures. Proc. A. Razmadze Math. Inst. 145 (2007), 95-99.
A. Kharazishvili and A. Kirtadze, On weakly metrically transitive measures and nonmeasurable sets. Real Anal. Exchange 32 (2006-2007), No. 2.
A. Kharazishvili and A. Kirtadze, On extensions of partial functions. Expo. Math. 25 (2007), No. 4, 345-353.
S. Kharibegashvili, On some multidimensional versions of a characteristic problem for second order degenerating hyperbolic equations. Georgian Math. J. 5 (1998), No. 2, 139-156.
S. Kharibegashvili, On some boundary value problems for an ultrahyperbolic equation. Georgian Math. J. 5 (1998), No. 4, 341-360.
S. Kharibegashvili, Boundary value problems for a class of systems of second order partial differential equations. (Russian) Differentsial’nye Uravneniya 34 (1998), No. 1, 114-122; English transl.: Differ. Equations 34 (1998), No. 1, 117-125.
S. Kharibegashvili, On the solvability of some multidimensional versions of the Goursat problem for a first order hyperbolic system. (Russian) Differentsial’nye Uravneniya 35 (1999), No. 8, 1112-1121.
S. Kharibegashvili, On the formulation of characteristic problems for first order symmetric hyperbolic systems. (Russian) Differentsial’nye Uravneniya 36 (2000), No. 8, 1113-1122.
S. Kharibegashvili, A multidimensional version of the first Darboux problem for a second order degenerating hyperbolic equation. Appl. Math. Inform. 5 (2000), No. 1, 66-76.
S. Kharibegashvili, On the solvability of some boundary value problems for symmetric first order hyperbolic systems in a dihedral angle. Mem. Differential Equations Math. Phys. 27 (2002), 115-144.
S. Kharibegashvili, On the correct formulation of some nonlocal problems for the wave equations. (Russian) Differentsial’nye Uravneniya 39 (2003), No. 4, 539-553.
S. Kharibegashvili, On the correct formulation of some boundary value problems for symmetric hyperbolic systems of first order in a dihedral angle. Mem. Differential Equations Math. Phys. 29 (2003), 1-30.
S. Kharibegashvili, A multidimensional version of the Darboux problem for a model degenerating second-order hyperbolic equation. (Russian) Differentsial’nye Uravneniya 40 (2004), No. 4, 565-573; English transl.: Differ. Equations 40 (2004), No. 4, 610-619.
S. Kharibegashvili, On some boundary value problems for a class of hyperbolic systems of second order in conic domains. J. Inequal. Appl., 2005, No. 5, 547-567.
S. Kharibegashvili, On the existence or the absence of global solutions of the Cauchy characteristic problem for some nonlinear hyperbolic equations. Boundary Value Problems, 2005, No. 3.
S. Kharibegashvili, On the nonexistence of global solutions of the characteristic Cauchy problem for a nonlinear wave equation in a conical domain. (Russian) Differ. Uravn. 42 (2006), No. 2, 261-271; English transl.: Differ. Equations 42 (2006), No. 2, 279-290.
S. S. Kharibegashvili, On the existence or absence of global solutions for the multidimensional version of the second Darboux problem for some nonlinear hyperbolic equations. (Russian) Differentsial’nye Uravneniya 43 (2007), No. 3, 388-401; English transl.: Differ. Equations 43 (2007), No. 3, 402-416.
S. Kharibegashvili, On the global solvability of the Cauchy characteristic problem for one nonlinear wave equation in a light cone of the future. Mem. Differential Equations Math. Phys. 42 (2007), 49-68.
S. Kharibegashvili and B. Midodashvili, On some three-dimensional variants of Goursat and Darboux problems for high order hyperbolic equations with dominating principal part. Contemp. Math. Appl. 47 (2007).
S. Kharibegashvili, D. Natroshvili, and Z. Tediashvili, Direct and inverse fluid-structure interaction problems. Rend. Mat. Appl. (7) 20 (2000), 57-92.
S. Khazhomia, Direct sum theorems for dual homotopy functors. Bull. Georgian Acad. Sci. 158 (1998), No. 2, 12-14.
S. Khazhomia, On the determination of cohomology-type functors by means of Hom functor. Bull. Georgian Acad. Sci. 163 (2001), No. 3, 433-435.
S. Khazhomia and M. Mikiashvili, On singular homology theory which is based on a family of convex polyhedra. Proc. A. Razmadze Math. Inst. 119 (1999), 93-110.
G. Khimshiashvili, Homotopy classes of elliptic transmission problems over C^{*}-algebras. Georgian Math. J. 5 (1998), No. 5, 453-468.
G. Khimshiashvili, Homotopy classes of abstract elliptic transmission problems. Bull. Georgian Acad. Sci. 159 (1999), No. 2, 193-195.
G. Khimshiashvili, On one class of exact Poisson structures. Proc. A. Razmadze Math. Inst. 119 (1999), 111-120.
G. Khimshiashvili, On one class of affine Poisson structures. Bull. Georgian Acad. Sci. 161 (2000), No. 3, 395-397.
G. Khimshiashvili, Elliptic cells in Riemann-Hilbert setting. Bull. Soc. Sci. Lett. Lódź Sér. Rech. Déform. 31 (2000), 107-119.
G. Khimshiashvili, Hyper-holomorphic cells and Riemann-Hilbert problems. Clifford analysis and its applications (Prague, 2000), 123-133, NATO Sci. Ser. II Math. Phys. Chem., 25, Kluwer Acad. Publ., Dordrecht, 2001.
G. Khimshiashvili, On local invariants of totally real surfaces. Georgian Math. J. 8 (2001), No.1, 97-109.
G. Khimshiashvili, Hyper-holomorphic cells and Fredholm theory. Georgian Math. J. 8 (2001), No.3, 499-512.
G. Khimshiashvili, Elliptic cells and Fredholm operators. Bull. Georgian Acad. Sci. 164 (2001), No.2, 215-218.
G. Khimshiashvili, Counting roots of quaternionic polynomials. Bull. Georgian Acad. Sci. 165 (2002), No.3, 465-468.
G. Khimshiashvili, On configuration spaces of planar pentagons. Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 292 (2002), Teor. Predst. Din. Sist. Komb. i Algoritm. Metody. 7, 120-129.
G. Khimshiashvili, Remarks on real polynomial mappings. Proc. Inst. Cybern. GAS 2 (2002), No.1-2, 74-84.
G. Khimshiashvili, On the fibers of proper polynomial mappings. Bull. Georgian Acad. Sci. 167 (2003), No. 3, 400-403.
G. Khimshiashvili, Topological aspects of random polynomials. Bull. Georgian Acad. Sci. 168 (2003), No. 1, 5-8.
G. Khimshiashvili, Global geometric aspects of linear conjugation problems. J. Math. Sci. 118 (2003), No. 5, 5400-5466.
G. Khimshiashvili, Multidimensional residues and polynomial equations. Contemp. Math. Appl. 15 (2004), 71-120.
G. Khimshiashvili, New applications of algebraic formulae for topological invariants. Georgian Math. J. 11 (2004), No. 4, 759-770.
G. Khimshiashvili, Surfaces as intersections of quadrics. (Russian) Dokl. Ross. Akad. Nauk 399 (2004), No. 2, 1-3.
G. Khimshiashvili, Analytic discs in loop spaces. Bull. Georgian Acad. Sci. 169 (2004), No. 3, 443-446.
G. Khimshiashvili, Elementary algebraic geometry in geometric algebras. Bull. Georgian Acad. Sci. 170 (2004), No. 1, 5-8.
G. Khimshiashvili, Three-sphere as a holomorphic curve. Proc. Inst. Cybernetics Georgian Acad. Sci. 3 (2004), No. 1-2, 53-62.
G. Khimshiashvili, Holomorphic tubes in Cauchy-Riemann manifolds. Complex Variables Theory Appl. 50 (2005), No.7-11, 575-584.
G. Khimshiashvili, Fredholm structures on loop groups. (Russian) Dokl. Akad Nauk 401 (2005), No. 3, 309-311.
G. Khimshiashvili, Elliptic boundary value problems for Cauchy-Riemann systems. (Russian) Dokl. Akad. Nauk 403 (2005), No. 4, 455-458.
G. Khimshiashvili, Holomorphic tubes and isolated singularities. Bull. Georgian Acad. Sci. 171 (2005), No. 2, 235-238.
G. Khimshiashvili, Holomorphic dynamics in loop spaces. J. Dyn. Control Syst. 12 (2006), No. 1, 33-48.
G. Khimshiashvili, Multidimensional residues and polynomial equations. (Russian) Sovrem. Mat. Prilozh. No. 15, Teor. Funkts. (2006), 71-120; English transl.: J. Math. Sci. (N. Y.) 132 (2006), No. 6, 757-804.
G. Khimshiashvili, On stable quaternionic polynomials. Bull. Georgian National Acad. Sci. 175 (2007), No. 3, 19-21.
G. Khimshiashvili, Loewner conjecture for quasihomogeneous polynomials. Bull. Georgian National Acad. Sci. 175 (2007), No. 4, 15-18.
G. Khimshiashvili, Loop spaces and Riemann-Hilbert problems. Banach Center Publ. 76 (2007), 137-152.
G. Khimshiashvili and G. Giorgadze, Riemann-Gilbert problems in loop spaces. (Russian) Doklady Akad. Nauk 406 (2006).
G. Khimshiashvili and R. Prszybysz, On generalized Sklyanin algebras. Georgian Math. J. 7 (2000), No. 4, 789-800.
G. Khimshiashvili and R. Prszybysz, Topological aspects of generalized Sklyanin algebras. Bull. Georgian Acad. Sci. 163 (2001), No. 1, 11-14.
G. Khimshiashvili and R. Prszybysz, On certain super-integrable Hamiltonian systems. J. Dynam. Control Systems 8 (2002), No. 2, 217-244.
G. Khimshiashvili and D. Siersma, Minimal round functions on low-dimensional manifolds. Bull. Georgian Acad. Sci. 162 (2000), No. 4, 3-7.
G. Khimshiashvili and D. Siersma, Remarks on minimal round functions. Banach Center Publ. 63 (2003), 35-46.
G. Khimshiashvili and D. Siersma, Remarks on minimal round functions. Geometry and topology of caustics – CAUSTICS’02, 159-172, Banach Center Publ., 62, Polish Acad. Sci., Warsaw, 2004.
G. Khimshiashvili and D. Sirsmaa, Stable holomorphic curves in loop spaces. Bull. Georgian Acad. Sci. 173 (2006).
G. Khimshiashvili and A. Ushveridze, On the average topological degree of random polynomials. Bull. Georgian Acad. Sci. 159 (1999), No. 3, 385-388.
G. Khimshiashvili and E. Wegert, Analytic discs and totally real surfaces. Bull. Georgian Acad. Sci. 162 (2000), No.1, 41-44.
G. Khimshiashvili and E. Wegert, Complex points of planar endomorphisms. Bull. Georgian Acad. Sci. 165 (2002), No.1, 5-8.
G. Khimshiashvili and E. Wegert, Analytic discs and complex points of surfaces. Bull. Soc. Sci. Lett. Lódź Sér. Rech. Déform. 38 (2002), 147-166.
G. Khimshiashvili and E. Wegert, Holomorphic curves and Rieman-Hilbert problems in loop spaces. J. Appl. Func. Anal. 2 (2007), 1-114.
G. Khimshiashvili, E. Wegert and I. Spitkovsky, On totally real non-compact manifolds globally foliated by analytic discs. Partial differential and integral equations (Newark, DE, 1997), 107-123, Int. Soc. Anal. Appl. Comput., 2, Kluwer Acad. Publ., Dordrecht, 1999.
G. Khimshiashvili and R. Wolak, Holomorphic structures in Seifert fibrations. Bull. Georgian National Acad. Sci. 175 (2007), No. 1, 23-26.
E. V. Khmaladze, Goodness of fit tests for "chimeric" alternatives. Statist. Neerlandica 52 (1998), No. 1, 90-111.
E. Khmaladze, R. Mnatsakanov, and N. Toronjadze, Local covering numbers and the rate of convergence in the change-set problem. Ann. Statist., 1998.
G. Khuskivadze, Application of an extension of the Lebesgue integral to the investigation of a boundary value problem of linear conjugation. Proc. A. Razmadze Math. Inst. 117 (1998), 71-78.
G. Khuskivadze, On the derivative of conformal mapping function. Proc. A. Razmadze Math. Inst. 118 (1998), 49-60.
G. Khuskivadze and V. Paatashvili, On the conformal mapping of a circle onto a domain with an arbitrary piecewise smooth boundary. Proc. A. Razmadze Math. Inst. 116 (1998), 123-132.
G. Khuskivadze and V. Paatashvili, On conformal mapping of the domain with a piecewise smooth curve on the same domain. Rep Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 13(1998), No. 1, 20-22.
G. Khuskivadze and V. Paatashvili, On the boundedness of Cauchy singular integral operator. Proc. A. Razmadze Math. Inst. 124 (2000), 107-114.
G. Khuskivadze and V. Paatashvili, On a representation of the derivatives of conformal mappings. Georgian Math. J. 8 (2001), No. 3, 513-520.
G. Khuskivadze and V. Paatashvili, On Zaremba’s boundary value problem for harmonic functions of Smirnov classes. Mem. Differential Equations Math. Phys. 32 (2004), 29-58.
G. Khuskivadze and V. Paatashvili, On a property of harmonic functions from the Smirnov class. Mem. Differential Equations Math. Phys. 33 (2004), 87-94.
G. Khuskivadze and V. Paatashvili, On the conformal mapping of simply connected domains with non-Jordan boundaries. Proc. A. Razmadze Math. Inst. 136 (2004), 85-90.
G. Khuskivadze and V. Paatashvili, On the Dirichlet problem for harmonic functions of Smirnov classes in doubly-connected domains. Proc. A. Razmadze Math. Inst. 136 (2004), 141-144.
G. Khuskivadze and V. Paatasvili, Zaremba¢s problem for harmonic functions from the Smirnov's weighted classes in domains with piecewise Lyapunov boundaries. Proc. A. Razmadze Math. Inst. 142 (2006), 129-133.
G. Khuskivadze and V. Paatashvili, Zaremba’s problem in Smirnov class of harmonic functions in domains with piecewise Lyapunov boundaries. Proc. A. Razmadze Math. Inst. 143 (2007), 79-94.
G. Khuskivadze and V. Paatashvili, On the Dirichlet problem for harmonic functions from Smirnov classes in doubly-connected domains. Proc. A. Razmadze Math. Inst. 144 (2007), 41-60.
A. M. Khvedelidze, On the Hamiltonian formulation of gauge theories in terms of physical variables. J. Math. Sci. (N. Y.) 119 (2004), No. 4, 513-555.
A. Khvedelidze, A. Kovner, and D. McMullan, Magnetic monopoles in 4D: A perturbative calculation. JHEP 145 (2006), 0601.
A. Khvedelidze and G. Lavrelashvili, Negative mode about the Coleman-De Lucia bounce. Proc. Seminar Physical Variables in Gauge Theory (Dubna, 1999), 1999, 61-69.
A. Khvedelidze, G. Lavrelashvili, and T. Tanaka, On cosmological perturbations in closed FRW model with scalar field and false vacuum decay. Phys. Rev. D 62 (2000), 083501, 6pp.
A. Khvedelidze and D. Mladenov, On rational Euler-Calogero-Moser and Yang-Mills mechanics. Proc. Seminar Physical Variables in Gauge Theory (Dubna, 1999), 1999, 148-158.
A. Khvedelidze and D. Mladenov, SU(2) Yang-Mills mechanics and Euler-Calogero-Moser model with inverse square potentia. Proc. Seminar Symmetries and Integrable Models (Dubna, 1999), 1999, 113-125.
A. Khvedelidze and D. Mladenov, Euler-Calogero-Moser system from SU(2) Yang-Mills theory. Phys. Rev. D 62 (2000), 125016, 11pp.
A. M. Khvedelidze and D. M. Mladenov, Classical mechanics on GL(n, R) group and Euler-Calogero-Sutherland model. (Russian) Proc. XXIII International Colloquium on Group Theoretical Methods in Physics (Dubna, 2000); Yad. Fiz. 65 (2002), 1075-1079; English transl.: Phys. Atom. Nucl. 65 (2002), 1042-1046.
A. M. Khvedelidze and D. M. Mladenov, Generalized Calogero-Sutherland models from geodesic motion on GL(n,R) group manifold. Phys. Lett. A 299 (2002), 522-530.
A. M. Khvedelidze and D. M. Mladenov, Bianchi type I cosmology and Euler-Calogero-Sutherland model. Phys. Rev. D 66 (2002), 123504, 13pp.
A. M. Khvedelidze, D. M. Mladenov, H.-P. Pavel, and G. Ropke, On unconstrained SU(2) gluodynamics with theta angle. Eur. Phys. J. C 24 (2002), 137-141.
A. M. Khvedelidze, D. M. Mladenov, H. P. Pavel and G. Ropke, Unconstrained SU(2) Yang-Mills theory with topological term in the long-wavelength approximation. Phys. Rev. D 67 (2003), 105013, 24pp.
A. M. Khvedelidze and Y. G. Palii, Generalized Hamiltonian dynamics of Friedmann cosmology with scalar and spinor matter source fields. Classical Quantum Gravity 18 (2001), 1767-1785.
A. M. Khvedelidze and H.-P. Pavel, Nonperturbative reduction of Yang-Mills theory and low energy effective action. Electronic archive hep-th/9811115; Proc. International Seminar in Physics and Mathematics (Tbilisi, September 5-18, 1998), Mathematical Methods in Modern Theoretical Physics, 1999, 205-216.
A. M. Khvedelidze and H.-P. Pavel, Unconstrained Hamiltonian formulation of SU(2) gluodynamics. Phys. Rev. D 59 (1999), 105017, 20pp.
A. M. Khvedelidze and H.-P. Pavel, On the groundstate of Yang-Mills quantum mechanics. Phys. Lett. A 267 (2000), 96-100.
A. Khvedelidze, H.-P. Pavel, and G. Ropke, Unconstrained SU(2) Yang-Mills quantum mechanics with theta angle. Phys. Rev. D 61 (1999), 025017, 15pp.
I. Kiguradze, Concerning the solvability of two-point singular boundary value problems. (Russian) Uspekhi Mat. Nauk 53 (1998), No. 4, 153.
I. Kiguradze, On periodic solutions of nth order ordinary differential equations. Nonlinear Anal. 40(2000), No. 1-8, 309-321.
I. Kiguradze, On Kneser solutions of the Emden-Fowler differential equation with a negative exponent. Tr. In-ta matematiki NAN Belarusi 4 (2000), 69-77.
I. Kiguradze, On explosive Kneser solutions of higher order nonlinear differential equations. (Russian) Differentsial’nye Uravneniya 37 (2001), No. 6, 735-743; English transl.: Differ. Equations 37 (2001), No. 6, 768-777.
I. Kiguradze, On boundary value problems for linear differential systems with singularities. (Russian) Differentsial’nye Uravneniya 39 (2003), No. 2, 198-209.
I. Kiguradze, Some optimal conditions for the solvability of two-point singular boundary value problems. Funct. Differ. Equ. 10 (2003), No. 1-2, 259-281.
I. Kiguradze, On periodic type solutions of systems of linear ordinary differential equations. Abstr. Appl. Anal. 2004, No. 5, 395-406.
I. Kiguradze, On two-point boundary value problems for higher order singular ordinary differential equations. Mem. Differential Equations Math. Phys. 32 (2004), 101-107.
I. Kiguradze, On the solvability of nonlinear operator equations in a Banach space. Mem. Differential Equations Math. Phys. 32 (2004), 127-130.
I. Kiguradze, On nonlinear boundary value problems for higher order ordinary differential equations. Proceedings of the Conference on Differential & Difference Equations and Applications, Hindawi Publ. Corp., 2006, 529-540.
I. Kiguradze, On periodic type boundary value problems for high order ordinary differential equations. (Russian) Differ. Uravn. 42 (2006), No. 11, 1577-1579.
I. Kiguradze, On some boundary value problems with conditions at infinity for nonlinear differential systems. Bull. Georgian National Acad. Sci. 175 (2007), No. 1, 27-33.
I. Kiguradze, On a nonlocal problem for nonlinear differential systems. (Russian) Differentsial’nye Uravneniya 43 (2007), No. 11, 1579-1580.
I. Kiguradze and T. Kiguradze, On blow-up solutions of initial characteristic problem for nonlinear hyperbolic systems with two independent variables. Mem. Differential Equations Math. Phys. 38 (2006), 146-149.
I. Kiguradze and T. Kusano, On periodic solutions of higher order non-autonomous ordinary differential equations. (Russian) Differentsial'nye Uravneniya 35 (1999), No. 1, 72-78; English transl.: Differ. Equations 35 (1999), No. 1, 71-77.
I. Kiguradze and T. Kusano, On conditions for existence and uniqueness of periodic solutions of nonautonomous differential equations. (Russian) Differentsial'nye Uravneniya 36 (2000), No. 10, 1301-1306; English transl.: Differ. Equations 36 (2000), No. 10, 1436-1442.
I. Kiguradze and T. Kusano, On periodic solutions of even-order ordinary differential equations. Ann. Mat. Pura Appl. (4) 180 (2001), No. 3, 285-301.
I. Kiguradze and S. Mukhigulashvili, On nonlinear boundary value problems for two-dimensional differential systems. (Russian) Differentsial’nye Uravneniya 40 (2004), No. 6, 747-755; English transl.: Differ. Equations 40 (2004), No. 6, 797-806.
I. Kiguradze and S. Mukhigulashvili, On periodic solutions of two-dimensional nonautonomous differential systems. Nonlinear Anal. 60 (2005), 241-256.
I. Kiguradze and N. Partsvania, On nonnegative solutions of nonlinear two-point boundary value problems for two-dimensional differential systems with advanced arguments. E. J. Qualitative Theory of Diff. Equ. (1999), No. 5, 1-22.
I. Kiguradze and N. Partsvania, On the Kneser problem for two-dimensional differential systems with advanced arguments. J. Inequal. Appl. 7 (2002), No. 4, 453-477.
I. Kiguradze and N. Partsvania, On vanishing at infinity solutions of second order differential equations. Mem. Differential Equations Math. Phys. 32 (2004), 129-135.
I. Kiguradze and N. Partsvania, On lower and upper solutions of the Kneser problem. Mem. Differential Equations Math. Phys. 32 (2004), 155-158.
I. Kiguradze and N. Partsvania, On minimal and maximal solutions of two-point singular boundary value problems. Mem. Differential Equations Math. Phys. 36 (2005), 147-152.
I. Kiguradze and N. Partsvania, On a priori estimates of solutions of systems of higher order nonlinear functional-differential inequalities. Georgian Math. J. 14 (2007), No. 3, 445-456.
I. Kiguradze, N. Partsvania, and I. P. Stavroulakis, On advanced functional differential equations with properties A and B. Mem. Differential Equations Math. Phys. 24 (2001), 146-150.
I. Kiguradze, N. Partsvania, and I. P. Stavroulakis, On oscillatory properties of higher order advanced functional differential equations. (Russian) Differentsial'nye Uravneniya 38 (2002), No. 8, 1030-1041; English transl.: Differ. Equations 38 (2002), No. 8, 1095-1107.
I. Kiguradze, N. Partsvania, and I. P. Stavroulakis, On oscillatory solutions of nonlinear differential equations with advanced arguments. Mem. Differential Equations Math. Phys. 25 (2002), 156-158.
I. Kiguradze and Půža, On the solvability of nonlinear boundary value problems for functional differential equations. Georgian Math. J. 5 (1998), No. 3, 251-262.
I. Kiguradze and B. Půza, On periodic solutions of nonlinear functional differential equations. Georgian Math. J. 6 (1999), No. 1, 47-66.
I. Kiguradze and B. Půža, On periodic solutions of systems of differential equations with deviating arguments. Nonlinear Anal. 42( 2000), No. 2, 229-242.
I. Kiguradze and B. Půža, Conti-Opial type existence and uniqueness theorems for nonlinear singular boundary value problems. Funct. Differ. Equ. 9 (2002), No. 3-4, 405-422.
I. Kiguradze and B. Půža, On two-point boundary value problems for second order singular functional differential equations. Functional Differential Equations 12 (2005), No. 3-4, 271-294.
I. Kiguradze and B. Půža, On the well-posedness of nonlinear boundary value problems for functional differential equations. Mem. Differential Equations Math. Phys. 34 (2005), 149-152.
I. Kiguradze and B. Půža, On some boundary value problems for fourth order functional differential equations. Mem. Differential Equations Math. Phys. 35 (2005), 55-64.
I. Kiguradze, B. Půža and I. P. Stavroulakis, On singular boundary value problems for functional differential equations of higher order. Georgian Math. J. 8 (2001), No. 4, 791-814.
I. Kiguradze and Z. Sokhadze, On the structure of the set of solutions of the weighted Cauchy problem for evolution singular functional differential equations. Fascikuly Math. No. 28 (1998), 71-92.
I. Kiguradze and Z. Sokhadze, A priori estimates of solutions of systems of functional differential inequalities, and some of their applications. Mem. Differential Equations Math. Phys. 41 (2007), 43-67.
I. Kiguradze and S. Staněk, On periodic boundary value problem for the equation with one-sided growth restrictions on f. Nonlinear Anal. 48 (2002), No. 7, 1065-1075.
I. Kiguradze and I. P. Stavroulakis, On the existence of proper oscillatory solutions of advanced differential inequalities. (Russian) Differentsial'nye Uravneniya 34 (1998), No. 6, 751-757; English transl.: Differ. Equations 34 (1998), No. 6, 748-754.
I. Kiguradze and I. P. Stavroulakis, On the oscillation of solutions of higher order Emden-Fowler advanced differential equations. Appl. Anal. 70( 1998), No. 1-2, 97-112.
C. A. J. Klaassen and R. Mnatsakanov, Consistent estimation of the structural distribution function. Scand. J. Statist. 27(2000), 733-746.
V. Kokilashvili, On compactness for potentials on SHT. Proc. A. Razmadze Math. Inst. 121 (1999), 153-154.
V. Kokilashvili, On the compactness of weak singular integral operators on regular curves. Bull. Georgian Acad. Sci. 160 (1999), 199-200.
V. Kokilashvili, A survey of recent results of Georgian mathematicians on boundary value problems for holomorphic functions. Mem. Differential Equations Math. Phys. 23 (2001), 85-138.
V. Kokilashvili, Two-weighted estimates for Fourier multipliers in Lebesgue spaces. Proc. A. Razmadze Math. Inst. 132 (2003), 148-149.
V. Kokilashvili, On the solvability of divergence equation in the theory of incompressible fluids. Mem. Differential Equations Math. Phys. 31 (2004), 131-134.
V. Kokilashvili, On a progress in the theory of integral operators in weighted Banach function spaces. In: Proceedings “Function Spaces, Differential Operators and Nonlinear Analysis”, Math. Inst. Acad. Sci. of Gzech Republic, Praha, 2005, 152-175.
V. Kokilashvili, N. Lyall, and A. Meskhi, Two-weight estimates for singular and strongly singular integral operators. Acta Math. Hung. 116 (2007), No. 1-2, 1-25.
V. Kokilashvili, Z. Meshveliani and V. Paatashvili, Boundary value problems for analytic and harmonic functions of Smirnov classes in the domains with nonsmooth boundaries. Proc. Conf. in Madeira in honour of Prof. G. Litvinchuk, Kluwer Academic Publishers, 2003.
V. Kokilashvili and A. Meskhi, Two-weighted inequalities for integral operators in Lorentz spaces on homogeneous groups. Georgian Math. J. 6 (1999), No. 1, 65-85.
V. Kokilashvili and A. Meskhi, Boundedness and compactness criteria for some classical integral transforms. Function spaces (Poznań, 1998), 279-296, Lecture Notes in Pure and Appl. Math., 213, Dekker, New York, 2000.
V. Kokilashvili and A. Meskhi, On the boundedness and compactness of generalized truncated potentials. Bull. TICMI 4 (2000), 28-31.
V. Kokilashvili and A. Meskhi, Norms of positive operators on some cones of functions defined on measure spaces. Proc. A. Razmadze Math. Inst. 122 (2000), 59-78.
V. Kokilashvili and A. Meskhi, On a trace inequality for one-sided potentials and applications to the solvability of nonlinear integral equations. Georgian Math. J. 8 (2001), No. 3, 521-536.
V. Kokilashvili and A. Meskhi, Boundedness and compactness criteria for the generalized truncated potentials. (Russian) Trudy Mat. Inst. Steklov. 232 (2001), 164-178; English transl.: Proc. Steklov Inst. Math. 232 (2001), 157-171.
V. Kokilashvili and A. Meskhi, Fractional integrals on measure spaces. Fract. Calc. Appl. Anal. 4 (2001), No. 1, 1-24.
V. Kokilashvili and A. Meskhi, Criteria for the boundedness and compactness of operators with power-logarithmic kernels. Anal. Math. 27 (2001), No. 2, 173-185.
V. Kokilashvili and A. Meskhi, Weight problems for higher dimensional singular integrals via Clifford analysis. Clifford analysis and its applications (Prague, 2000), 247-253, NATO Sci. Ser. II Math. Phys. Chem., 25, Kluwer Acad. Publ., Dordrecht, 2001.
V. Kokilashvili and A. Meskhi, Weight inequalities for one-sided potentials for critical weights. Fract. Calc. Appl. Anal. 25 (2002), 255-265.
V. Kokilashvili and A. Meskhi, On a trace inequality for one-sided potentials with multiple kernels. Fract. Calc. Appl. Anal. 6 (2003), No. 4, 461-472.
V. Kokilashvili and A. Meskhi, On some two-weighted inegualities for fractional integrals on nonhomogeneous spaces. Z. Anal. Anwendungen 24 (2005), No. 4, 871-885.
V. Kokilashvili, M. Meskhi, and S. Samko, On the inversion and characterization of the Riesz potentials in the weighted Lebesgue spaces. Mem. Differential Equations Math. Phys. 29 (2003), 31-45.
V. Kokilashvili and A. Meskhi, A note on two-weight estimates for strong maximal functions and potentials with multiple kernels. Proc. A. Razmadze Math. Inst. 137 (2005), 135-140.
V. Kokilashvili and A. Meskhi, Two-weighted criteria for integral transforms with multiple kernels. Banach Center Publ. 72 (2006), 119-140.
V. Kokilashvili, A. Meskhi, and Ts. Tsanava, Strong and iterated maximal functions and applications to the mean summability of the double trigonometric Fourier series. Proc. A. Razmadze Math. Inst. 139 (2005), 128-132.
V. Kokilashvili and A. Meskhi, Weighted criteria for generalized fractional maximal functions and potentials in Lebesgue spaces with variable exponent. Integral Transforms Spec. Funct. 18 (2007), No. 9, 609-628.
V. Kokilashvili and A. Meskhi, Two-weighted estimates for maximal functions in variable Lebesgue spaces. Proc. A. Razmadze Math. Inst. 145 (2007), 114-116.
V. Kokilashvili and V. Paatashvili, Riemann-Hilbert problem in the domain with piecewise smooth boundaries. Bull. Georgian Acad. Sci. 159 (1999), No. 1, 11-14.
V. Kokilashvili and V. Paatashvili, On the Dirichlet and Neumann problem in the domains with piecewise smooth boundaries. Bull Acad. Sci. Georgia 159 (1999), No. 2, 181-184.
V. Kokilashvili and V. Paatashvili, A problem of linear conjugation for analytic functions with boundary values from the Zygmund class. Georgian Math. J. 9 (2002), 309-324.
V. Kokilashvili and V. Paatashvili, The Dirichlet problem for harmonic functions with boundary values from Zygmund classes. Georgian Math. J. 10 (2003), No. 3, 531-542.
V. Kokilashvili and V. Paatashvili, On Hardy classes of analytic functions with a variable exponent. Proc. A. Razmadze Math. Inst. 142 (2006), 134-137.
V. Kokilashvili and V. Paatashvili, The Dirichlet problem for harmonic functions in the Smirnov class with variable exponent. Georgian Math. J. 14 (2007), No. 2, 289-299.
V. Kokilashvili and V. Paatashvili, The Riemann-Hilbert problem in domains with piecewise-smooth boundaries in classes of Cauchy type integrals with density from . Proc. A. Razmadze Math. Inst. 145 (2007), 100-105.
V. Kokilashvili, V. Paatashvili, and S. Samko, Boundedness in Lebesgue spaces with variable exponent of the Cauchy singular integral operator on Carleson curves. Operator Theory, Advances and Appl. 170 (2006), 167-186; Birkhäuser Verlag Basel/Switzerland, 2006.
V. Kokilashvili, N. Samko and S. Samko, The maximal operator in variable spaceswith oscillating weights. Georgian Math. J. 13 (2006), No. 1, 109-125.
V. Kokilashvili, N. Samko, and S. Samko, Boundedness of the generalized singular integral operator on Carleson curves in weighted variable Lebesgue spaces. Proc. A. Razmadze Math. Inst. 142 (2006), 138-142.
V. Kokilashvili, N. Samko, and S. Samko, Singular operators in variable with oscillating weight. Math. Nachr. 280 (2007), No. 9-10, 1-12.
V. Kokilashvili, N. Samko, and S. Samko, The maximal operator in weighted variable spaces. J. Funct. Spaces Appl. 5 (2007), No. 3, 299-315.
V. Kokilashvili and S. Samko, Maximal and fractional operators in weighted spaces. Proc. A. Razmadze Math. Inst. 129 (2002), 145-149.
V. Kokilashvili and S. Samko, Singular integrals and potentials in some Banach function spaces with variable exponent. Proc. A. Razmadze Math. Inst. 129 (2002), 150-155.
V. Kokilashvili and S. Samko, On Sobolev theorem for Riesz-type potentials in Lebesgue spaces with variable exponent. Z. Anal. Anwendungen 22 (2003), No. 4, 1-12.
V. Kokilashvili and S. Samko, Singular integrals in weighted Lebesgue space with variable exponent. Georgian Math. J. 10 (2003), No. 1, 145-156.
V. Kokilashvili and S. Samko, Singular integral equations in Lebesgue spaces with variable exponent. Proc. A. Razmadze Math. Inst. 131 (2003), 61-78.
V. Kokilashvili and S. Samko, Singular integrals and potentials in some Banach function spaces with variable exponent. J. Funct. Spaces Appl. 1 (2003), No. 1.
V. Kokilashvili and S. Samko, Sobolev theorem for potentials on Carleson curves in variable Lebesgue spaces. Mem. Differential Equations Math. Phys. 33 (2004), 157-158.
V. Kokilashvili and S. Samko, Weighted boundedness in Lebesque spaces with variable eseponent classical operators on curves. Proc. A. Razmadze Math. Inst. 138 (2005), 106-110.
V. Kokilashvili and S. Samko, Boundedness in Lebesgue spaces with variable exponent of maximal, singular and potential operators. (Russian) Izv. Vuzov, Severo-Kavk. region. Est. Nauki. Spetsvipusk, 2006, 152-158.
V. Kokilashvili and S. Samko, On a generalization of Calderon-Zygmund’s theorem in weighted Lebesgue spaces with variable exponents. Bull. Georgian National Acad. Sci. 175 (2007), No. 1, 34-39.
V. Kokilashvili and S. Samko, A general approach to weighted boundedness of operators of harmonic analysis in variable Lebesgue spaces. Proc. A. Razmadze Math. Inst. 145 (2007), 106-113.
V. Kokilashvili and Y. E. Yldirir, On the approximation in weighted Lebesgue spaces. Proc. A. Razmadze Math. Inst. 143 (2007), 103-113.
V. Kolesov and L. Shapakidze, On transition near the intersection point of bifurcations in the flow between two rotating permeable cylinders. Proc. A. Razmadze Math. Inst. 122 (2000), 79-91.
V. Kolesov and L. Shapakidze, On oscillatory modes in viscous incompressible liquid flows between two counter-rotating permeable cylinders. Trends in applications of mathematics to mechanics (Nice, 1998), 221-227, Chapman & Hall/CRC Monogr. Surv. Pure Appl. Math., 106, Chapman & Hall/CRC, Boca Raton, FL, 2000.
R. Koplatadze, Comparison theorems for deviated differential equations with Property A. Mem. Differental Equations Math. Phys. 15 (1998), 141-144.
R. Koplatadze, Comparison theorems for deviated differential equations with property B. Mem. Differential Equations Math. Phys. 16 (1999), 143-147.
R. Koplatadze, Comparison theorems for differential equations with several deviations. The case of property A. Mem. Differential Equations Math. Phys. 24 (2001), 115-124.
R. Koplatadze, Property A of high order linear differential equations with several deviations. Mem. Differential Equations Math. Phys. 24 (2001), 125-135.
R. Koplatadze, Oscillation of linear difference equations with deviating arguments. Comput. Math. Appl. 42 (2001), 477-486.
R. Koplatadze, Comparison theorems for differential equations with several deviations. The case of property B. Mem. Differential Equations Math. Phys. 26 (2002), 139-148.
R. Koplatadze, Comparison theorems for deviated difference equations. Rep. Enlarges Sess. Semin. I. Vekua Inst. Appl. Math. 17 (2002), No. 2, 43-46.
R. Koplatadze, On higher order functional differential equations with property A. Georgian Math. J. 11 (2004), No. 2, 307-336.
R. Koplatadze and G. Kvinikadze, On asymptotic behavior of solutions of higher order linear differential equations with deviated arguments. Rep. Enlarges Sess. Semin. I. Vekua Inst. Appl. Math. 17 (2002), No. 2, 39-42.
R. Koplatadze and G. Kvinikadze, On oscillatory properties of ordinary differential equations of generalized Emden-Fowler type. Mem. Differential Equations Math. Phys. 34 (2005), 153-156.
R. Koplatadze, G. Kvinikadze, and I. P. Stavroulakis, Properties A and B of nth order linear differential equations with deviated argument. Georgian Math. J. 6 (1999), No. 6, 553-566.
R. Koplatadze, G. Kvinikadze, and I. P. Stavroulakis, Oscillation of second order linear delay differential equations. Funct. Differ. Equ. 7 (2000), No. 1-2, 121-145.
R. Koplatadze, G. Kvinikadze, and I. P. Stavroulakis, Oscillation of second order linear difference equations with deviating arguments. Adv. Math. Sci. Appl. 12 (2002), No. 1, 217-226.
R. Koplatadze and N. Partsvania, On the oscillation of solutions of two-dimensional linear differential systems with deviated arguments. Mem. Differential Equations Math. Phys. 13 (1998), 148-149.
R. Koplatadze and N. Partsvania, Oscillatory behaviour of solutions of two-dimensional differential systems with deviated arguments. Georgian Math. J. 6 (1999), No. 4, 335-346.
R. Koplatadze and N. Partsvania, Oscillatory properties of solutions of two-dimensional linear differential systems with deviated arguments. Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 15 (2000), No. 1-3, 68-70.
R. Koplatadze, N. Partsvania and I. P. Stavroulakis, Asymptotic behaviour of solutions of two-dimensional linear differential systems with deviating arguments. Arch. Math. (Brno) 39 (2003), No. 3, 213-232.
A. Kosowsky, T. Kahniashvili, G. Lavrelashvili, and B. Ratra, Faraday rotation of the cosmic microwave background polarization by a stochastic magnetic field. Phys. Rev. D 71 (2005), 043006.
D. S. Kourashev and B. Magradze, Explicit expressions for timelike and spacelike observables of quantum chromodynamics in analytic perturbation theory. (Russian) Teoret. Mat. Fiz. 135 (2003), No 1, 95-106; English transl.: Theoret. Math. Phys. 135 (2003), 531-540; hep-ph/0104142.
S. Kukudzhanov, On the influence of orthotropy on eigen oscillations of preliminarily stressed shells of revolution closed to cylindrical ones. (Russian) Izv. Ross. Akad. Nauk Mekh. Tv. Tela 1998, No. 1, 158-165.
S. Kukudzhanov, Eigenoscillations of preliminarily twisted shells of revolution close to cylindrical ones. Proc. A. Razmadze Math. Inst. 118 (1998), 65-72.
S. Kukudzhanov, Stability of orthotropic shells of revolution, close to cylindrical ones, with elastic filler under torsion. Proc. A. Razmadze Math. Inst. 122 (2000), 93-104.
S. Kukudzhanov, Proper oscillations of preinvoluted rotation shells of form close to the cylindrical ones. (Russian) Izv. Ross. Akad. Nauk Mekh. Tv. Tela 2000, No. 4, 159-164.
S. Kukujanov, Free oscillations of shells of revolution close to cylindrical ones under the preliminary action of torques and normal pressure. Russian). Izv. Ross. Akad. Nauk Mekh. Tv. Tela 2001, No. 5, 114-180.
S. Kukujanov, On the influence of boundary conditions on eigen oscillations and stability of beforehand stressed orthotropic shells of revolution, close by their form to cylindrical ones. Proc. A. Razmadze Math. Inst. 128 (2002), 65-76.
S. Kukujanov, On the influence of meridional forces on eigen oscillations and dynamical stability of a shell of rotation, which is by its form close to cylindrical one. Proc. A. Razmadze Math. Inst. 132 (2003), 107-115.
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S. Kukujanov, Influence of meridional forces on the eigen oscillations and dynamical stability of a shell of rotation, which is byits form close to cylindrical one. (Russian) Izv. Ross. Akad. Nauk. MTT 1 (2005), 161-175.
S. Kukujanov, Some problems of oscillation and dynamical stability of shells of rotation close to cylindrical ones. The problems of dynamics of interaction of deformable media. Goris V Inter. Conf., 2005, 219-223.
S. Kukujanov, Dynamical stability of orthotropic shells of rotation, close by their shape to the cylindrical ones, under the action of meridional stresses. Proc. A. Razmadze Math. Inst. 138 (2005), 27-42.
S. Kukujanov, Oscillations and dynamical stability of shells of rotation, close to cylindrical ones, stressed by normal pressure and meridional forces. (Russian) Izv. Ros Akad. Nauk, MTT 2(2006), 48-59.
S. Kukujanov, Some problems of stability of long orthotropic shells of rotation, close to cylindrical ones. Topical problems of continuum mechanics, Yerevan, 2007, 234-238.
S. Kukujanov, On the stability of orthotropic cylindrical shells. Proc. A. Razmadze Math. Inst. 145 (2007), 47-62.
R. Kurdiani and T. Pirashvili, A Leibniz algebra structure on the second tensor power. J. Lie Theory 12 (2002), No. 2, 583-596.
G. Kvinikadze, On some boundary value problems for high order ordinary differential equations. Mem. Differential Equations Math. Phys. 13 (1998), 99-118.
G. Kvinikadze, On monotone solutions of linear advanced equations. Mem. Differential Equations Math. Phys. 16 (1999), 148-149.
A. N. Kvinikhidze, M. C. Birse and B. Blankleider, Pionic dressing of baryons in chiral quark models. Phys. Rev. C 66 (2002), 045203, 12pp.
A. Kvinikhidze and B. Blankleider, Gauging hadronic systems. Nucl. Phys. A 631(1998), 559.
A. N. Kvinikhidze and B. Blankleider, Unified relativistic description of and . Phys. Rev. C 59 (1999), 1263-1271.
A. N. Kvinikhidze and B. Blankleider, Gauging of equations method. 1. Electromagnetic current of three distinguishable particles. Phys. Rev. C 60 (1999), 044003, 33pp.
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A. N. Kvinikhidze and B. Blankleider, Perturbation theory for bound states and resonances where potentials and propagators have arbitrary energy dependence. Phys. Rev. D 67 (2003), 076003, 8pp.
A. N. Kvinikhidze and B. Blankleider, Gauge invariant reduction to the light front. Phys. Rev. D 68 (2003), 025021, 12pp.
A. Kvinikhidze and G. A. Miller, Shapes of the nucleon. Phys. Rev. C 73 (2006), 065203: nucl- th/0603035.
A. Kvinikhidze and G. A. Miller, Subtleties of Lorentz invariance and shapes of the nucleon. Phys. Rev. C 76 (2007), 025203; nucl-th/0701017.
G. Lavrelashvili, On the quadratic action of the Hawking-Turok instanton. Phys. Rev. D 58 (1998), 063505, 5pp.
G. Lavrelashvili, Inside Non-Abelian black holes. In Proc. International Meeting: ISPM-98, Mathematical Methods in Modern Theoretical Physics (Tbilisi, Georgia, September 5-18, 1998), p. 257-260.
G. Lavrelashvili, Negative mode problem in false vacuum decay with gravity. Nucl. Phys. B 88 (2000), 75-82.
G. Lavrelashvili, Number of negative modes of the oscillating bounces. Phys. Rev. D 73 (2006), 083513; gr-qc/0602039.
N. Lazrieva, G. Meladze, and T. Toronjadze, Continuous semimartingale with small noise. CULAN estimates of multidimensional parameter. Bull. Georgian Acad. Sci. 168 (2003), No. 2.
N. Lazrieva, G. Meladze, and T. Toronjadze, Continuous semimartingale with small noise. Construction of optimal B-robust estimates of multidimensional parameter. Bull. Georgian Acad. Sci. 168 (2003), No. 3.
N. Lazrieva, T. Sharia and T. Toronjadze, The Robbins-sMonro type stochastic differential equations. II. Asymptotic behavior of solutions. Stochastics Stochastics Rep. 75 (2003), No. 3, 153-180.
N. Lazrieva and T. Toronjadze, Robust estimators in statistical models associated with semimartingales. Proc. A. Razmadze Math. Inst. 118(1998), 73-100.
N. Lazrieva and T. Toronjadze, The Robbins-Monro type SDE and recursive estimation. Probability theory and mathematical statistics. Proceedings of the 7th international Vilnius conference, (ed. B. Grigelionis, et al.) Vilnius, Lithuania, August, 12-18, 1998. TEV, Vilnius, 415-428 (1999).
N. Lazrieva and T. Toronjadze, The semimartingale statistical models and robust estimation. Proc. of 4th Iranian International Statistical Conference 1 (1999), 261-303.
N. Lazrieva and T. Toronjadze, The Polyak weighted averaging procedure for Robbins-Monro type SDE. Proc. A. Razmadze Math. Inst. 124 (2000), 115-130.
N. Lazrieva and T. Toronjadze, General M-estimators in the presence of nuisance parameter. Some projections technique. Georgian Math. J. 10 (2003), No. 2, 271-288.
J. Q. Liang, H. J. W. Muller-Kirsten, D. K. Park and A. V. Shurgaia, Nucleation at finite temperature beyond the superminispace model. Phys. Lett. B 483 (2000), 225-234.
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J.-L. Loday and T. Pirashvili, The tensor category of maps and Leibniz algebras. Georgian Math. J. 5 (1998), No. 3, 263-276.
J.-L. Loday and T. Pirashvili, Mac Lane homology, 13. Fundamental Principles of Mathematical Sciences, 301, Springer-Verlag, Berlin, 1998.
V. Lomadze, Frequency responses. Bull. Georgian Acad. Sci. 157 (1998), No. 2, 186-188.
V. Lomadze, Applications of vector bundles to factorization of rational matrices. Linear Algebra Appl. 288 (1999), No. 1-3, 249-258.
V. Lomadze, Time-varying linear dynamical systems. Proc. A. Razmadze Math. Inst. 119 (1999), 121-132.
V. Lomadze, On state space representations of AR-models. Georgian Math. J. 7 (2000), No. 1, 117-131.
V. Lomadze, Linear constant coefficient differential (or difference) equations. J. Pure Appl. Algebra 147 (2000), No. 2, 143-157.
V. Lomadze, On the general linear control problem. Proc. MTNS Symposium, Perpignan, 2000.
V. Lomadze, Cauchy problem for multidimensional discrete linear systems. Proc. MTNS Symposium, Perpignan, 2000.
V. Lomadze, Convolutional codes and coherent sheaves. Appl. Algebra Engrg. Comm. Comput. 12 (2001), No. 4, 273-326.
V. Lomadze, Convolutional codes and frequency responses. Georgian Math. J. 8 (2001), No. 3, 553-570.
V. Lomadze, Singular linear behaviors and their AR-representations. Math. Control Signals Systems 14 (2001), No. 2, 194-211.
V. Lomadze, Linear dynamical systems: an axiomatic approach. Georgian Math. J. 9 (2002), No. 1, 113-136.
V. Lomadze, Rosenbrock models and their homotopy equivalence. Fourth special issue on linear systems and control. Linear Algebra Appl. 351/352 (2002), 519-532.
V. Lomadze, On duality for partial differential (and difference) equations. J. Algebra 275 (2004), No. 2, 791-800.
V. Lomadze, When are linear differentiation-invariant spaces differential? Linear Algebra Appl. 424 (2007), 540-554.
V. Lomadze, State and internal variables for linear systems. Linear Algebra Appl. 425 (2007), 534-547.
V. Lomadze, M. S. Ravi, J. Rosenthal, and J. M. Schumacher, A behavioral approach to singular systems. Acta Appl. Math. 54 (1998), No. 3, 331-344.
V. Lomadze and E. Zerz, Fractional representations of linear systems. Systems Control Lett. 39 (2000), No. 4, 275-281.
V. Lomadze and E. Zerz, Control and interconnection revisited: the linear multidimensional case. The Second International Workshop on Multidimensional (nD) Systems (Czocha Castle, 2000), 77-82, Tech. Univ. Press, Zielona Góra, 2000.
V. Lomadze and E. Zerz, A constructive solution to interconnection and decomposition problems with multidimensional behaviors. SIAM J. Control Optim. 40 (2001/02), No. 4, 1072-1086 (electronic).
A. Lomtatidze and N. Partsvania, Oscillation and nonoscillation criteria for two-dimensional systems of first order linear ordinary differential equations. Georgian Math. J. 6 (1999), No. 3, 285-298.
N. O. Maglaperidze, Z. P. Tsigroshvili and M. van Pul, Goodness-of-fit tests for parametric hypotheses on the distribution of point processes. Math. Methods Statist. 7 (1998), No. 1, 60-77.
B. Magradze, The gluon propagator in analytic perturbation theory. In: Proc. 10th International Seminar QUARKS’98 (Suzdal, Russia, May 17-24, 1998), 1 (1998), 158-170; hep-ph/9808247, 1998.
B. Magradze, Analytic approach to perturbative quantum chromodynamics and the Lambert w function. Proc. A. Razmadze Math. Inst. 118 (1998), 111-115.
B. Magradze, On analytic approach to perturbative quantum chromodynamics. In: Proc. Conference on Trends in Mathematical Physics AMS/IP Studies in Advanched Mathematics 13 (1999), 399-406; Amer. Math. Soc., Internat. Press, 1999.
B. Magradze, Analytic approach to perturbative QCD, the Lambert W function and the gluon propagator. In: Proc. Intern. Meeting ISPM-98, Published by Annecy LAAP, ENSLAAP-99, 1999.
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B. Magradze, QCD coupling up to third order in standard and analytic perturbation theories. Communication of the Joint Institute for Nuclear Research, E2-2000-222; hep-ph/0010070.
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M. Mania, A general problem of an optimal equivalent change of measure and contingent claim pricing in an incomplete market. Stochastic Process. Appl. 90 (2000), No. 1, 19-42.
M. Mania and G. Mirzashvili, The main insurance principles in mathematical point of view. (Georgian) Tbilisi, 1999, 45 pp.
M. Mania, M. Santacroce, and R. Tevzadze, The Bellman equation related to the minimal entropy martingale measure. Georgian Math. J. 11 (2004), No. 1, 125-135.
M. Mania and R. Tevzadze, Solution of Bellman's equation by means of a system of nonlinear singular integral equations. Mem. Differential Equations Math. Phys. 13 (1998), 121-129.
M. Mania and R. Tevzadze, Semimartingale functions for a class of diffusion processes. (Russian) Teor. Veroyatnost. i Primenen. 45 (2000), No. 2, 374-380; English transl.: Theory Probab. Appl. 45 (2000), No. 2, 337-343.
M. Mania and R. Tevzadze, A semimartingale Bellman equation and the variance-optimal martingale measure. Georgian Math. J. 7 (2000), No. 4, 765-792.
M. Mania and R. Tevzadze, Backward stochastic PDE and hedging in incomplete markets. Proc. A. Razmadze Math. Inst. 130 (2002), 39-72.
M. Mania and R. Tevzadze, A semimartingale backward equation for the mean-variance hedging problem. Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 17 (2002), No. 1, 21-25.
M. Mania and R. Tevzadze, A unified characterization of the q-optimal and minimal entropy martingale measures. Georgian Math. J. 10 (2003), No. 2, 289-310.
M. Mania and R. Tevzadze, Backward stochastic PDE and imperfect hedging. J. Theoret. Appl. Finance 6 (2003), No. 7, 663-692.
M. Mania and R. Tevzadze, A semimartingale Bellman equation and the variance-optimal martingale measure under general information flow. SIAM J. Control Optim. 42 (2003), 1703-1726.
M. Mania and R. Tevzadze, An exponential martingale equation. Electron. Comm. Probab. 11 (2006), 206-216; http://www.math.washington.edu/~ejpecp/ECP/index.php.
M. Mania and R. Tevzadze, A martingale equation of exponential type. From Stochastic Calculus to Mathematical Finance, 507-516, Springer, Berlin, 2006.
M. Mania, R. Tevzadze and M. Santacroce, A semimartingale backward equation related to the p-optimal martingale measure and the lower price of a contingent claim. Stochastic Processes and Related Topics (Siegmundsburg, 2000), 189-212, Stochastics Monogr., 12, Taylor & Francis, London, 2002.
M. Mania, R. Tevzadze and M. Santacroce, A semimartingale BSDE related to the minimal entropy martingale measure. Finance Stoch. 7 (2003), No. 3, 385-402.
V. A. Matveev and A. Tavkhelidze, N. N. Bogolyubov and modern particle physics. International School in Physics and Mathematics: Annual report (Tbilisi, 1999), Tbilisi, 2000, 5-8.
G. Meladze and T. Toronjadze, On the innovation of continuous multidimensional semimartingale, I. General concepts. Proc. A. Razmadze Math. Inst. 133 (2003), 63-76.
G. Meladze and T. Toronjadze, On the innovation of continuous multidimensional semimartingale, II. The Bayesian model. Proc. A. Razmadze Math. Inst. 133 (2003), 77-96.
G. Meladze and T. Toronjadze, On the innovation of continuous multidimensional semimartingale. Information modeling in finance. Proc. A. Razmadze Math. Inst. 134 (2004), 15-45.
B. Mesablishvili, Galois theory in a category of modulus over an elementary topos. Bull. Georgian Acad. Sci. 159 (1999), 20-22.
B. Mesablishvili, Pure morphisms of commutative rings are effective descent morphisms for modules. Theory Appl. Categ. 7 (2000), 38-42.
B. Mesablishvili, On some properties of pure morphisms of commutative rings. Theory Appl. Categ. 10 (2002), 180-186.
B. Mesablishvili, Descent theory for schemes. Appl. Categ. Structures 12 (2004), 485-512.
B. Mesablishvili, Every small SL-enriched category is Morita equivalent to an SL-monoid. TAC 13 (2004), 169-171.
B. Mesablishvili, Monads of effective descent type and comonadicity. Theory Appl. Categ. 16 (2006), No. 1, 1-45 (electronic).
B. Mesablishvili, On comonadicity of the extension-of-scalars functors. J. Algebra 305 (2006), No. 2, 1102-1110.
Z. Meshveliani and V. Paatashvili, On harmonic functions from Smirnov's class. Proc. A. Razmadze Math. Inst. 121 (1999), 159-160.
Z. Meshveliani and V. Paatashvili, On Smirnov classes of harmonic functions, and the Dirichlet problem. Proc. A. Razmadze Math. Inst. 123 (2000), 61-91.
Z. Meshveliani and V. Paatashvili, On a Dirichlet problem in Smirnov classes of harmonic functions. Proc. A. Razmadze Math. Inst. 126(2001), 53-57.
A. Meskhi, Solution of some weight problems for the Riemann-Liouville and Weyl operators. Georgian Math. J. 5 (1998), No. 6, 565-574.
A. Meskhi, Boundedness and compactness weighted criteria for Riemann-Liouville and one-sided maximal operators. Proc. A. Razmadze Math. Inst. 117 (1998), 126-128.
A. Meskhi, Weighted inequalities for Riemann-Liouville operator. Proc. A. Razmadze Math. Inst. 117 (1998), 150-152.
A. Meskhi, On the boundedness and compactness of ball fractional integral operators. Fract. Calc. Appl. Anal. 3 (2000), No.1, 13-30.
A. Meskhi, On the measure of noncompactness and singular numbers for the Volterra integral operators. Proc. A. Razmadze Math. Inst. 123 (2000), 162-164.
A. Meskhi, Criteria for the boundedness and compactness for the generalized Riemann-Liouville operators. Proc. A. Razmadze Math. Inst. 121 (1999), 161-162.
A. Meskhi, Criteria of the boundedness and compactness for generalized Riemann-Liouville operator. Real Anal. Exchange 26 (2000/2001), No. 1, 217-236.
A. Meskhi, Criteria for the boundedness and compactness of operators with positive kernels. Proc. Edinburgh Math. Soc. (2) 44 (2001), 267-284.
A. Meskhi, On the singular numbers for some integral operators. Rev. Mat. Complut. 14 (2001), No. 2, 379-393.
A. Meskhi, Asymptotic behaviour of singular and entropy numbers for some Riemann-Liouville type operators. Georgian Math. J. 8 (2001), No.2, 323-332.
A. Meskhi, On the boundedness and compactness criteria for the Riemann-Liouville type discrete operators. Proc. A. Razmadze Math. Inst. 126 (2001), 117-119.
A. Meskhi, On a measure of non-compactness for the Riesz transforms. Proc. A. Razmadze Math. Inst. 129 (2002), 156-157.
A. Meskhi, On a measure of non-compacftness for singular integrals. J. Funct. Spaces Appl. 1 (2003), No. 1, 35-43.
A. Meskhi, On two-weight inequalities for multiple Hardy-type operators. Proc. A. Razmadze Math. Inst. 136 (2004), 149-153.
A. Meskhi, A note on two-weight inequalities for multiple Hardy-type operators. Journal of Function Spaces and Applications 3 (2005), No. 3, 223-237.
A. Mosidze and Z. Tsigroshvili, About the boundaries for the Mill's ratio. Proc. A. Razmadze Math. Inst. 122 (2000), 137-158.
S. Mukhigulashvili, On two-point boundary value problems for two-dimensional differential systems with singularities. Georgian Math. J. 10 (2003), No. 3, 595-602.
S. Mukhigulashvili, On the unique solvability of the Dirichlet problem for a linear functional differential equation of second order. (Russian) Differentsial’nye Uravneniya 40 (2004), No. 4, 477-484.
S. Mukhigulashvili, On periodic solutions of second order functional differential equations. Ital. J. Pure Appl. Math. (2006), No. 20, 29-50.
S. Mukhigulashvili, On a periodic boundary value problem for cyclic feedback type linear functional differential systems. Arch. Math. (Basel) 87 (2006), No. 3, 255-260.
S. Mukhigulashvili, On a periodic problem for second order nonlinear functional differential equations. (Russian) Differ. Uravn. 42 (2006), No. 3, 356-365.
S. Mukhigulashvili, On a periodic boundary value problem for third order linear functional differential equations. Nonlinear Anal. 66 (2007), 527-535.
S. Mukhigulashvili, On a periodic boundary value problem for fourth order linear functional differential equations. Georgian Math. J. 14 (2007), No. 3, 533-542.
S. Mukhigulashvili, On a priori estimates of solutions of nonlinear functional differential inequalities of higher order with boundary conditions of periodic type. Mem. Differential Equations Math. Phys. 41 (2007), 163-165.
S. Mukhigulashvili and B. Půža, On a periodic boundary value problem for 3th order linear functional differential equations. Funct. Differ. Equ. 14 (2007), 347-361.
S. Mukhigulashvili and B. Půža, On a periodic boundary value problem for cyclic feetback type linear functional differential systems. Mem. Differential Equations Math. Phys. 40 (2007), 67-75.
S. Mukhigulashvili and J. Šremr, On the solvability of the Dirichlet problem for nonlinear second-order functional differential equations. (Russian) Differentsial’nye Uravneniya 41 (2005), No. 10, 1353-1362.
S. Mukhigulashvili and J. Sremr, On a two-point boundary value problem for second order linear functional differential equations with monotone operators. Funct. Differ. Equ. 13 (2006), No.3-4, 519-537.
H. J. Muller-Kirsten and A. Shurgaia, Space symmetries and quantum behavior of finite energy configurations in SU(2)-gauge theory. Internat. J. Modern Phys. A 22 (2007), No. 21, 3655-3667.
E. Obolashvili, Some partial differential equations in Clifford analysis. Clifford algebras and their application in mathematical physics (Aachen, 1996), 275-289, Fund. Theories Phys., 94, Kluwer Acad. Publ., Dordrecht, 1998.
E. Obolashvili, Generalized analytic functions in multidimensional spaces. Generalized analytic functions (Graz, 1997), 77-87, Int. Soc. Anal. Appl. Comput., 1, Kluwer Acad. Publ., Dordrecht, 1998.
E. Obolashvili, Generalized analytic functions in mechanics. Generalized analytic functions (Graz, 1997), 289-297, Int. Soc. Anal. Appl. Comput., 1, Kluwer Acad. Publ., Dordrecht, 1998.
E. Obolashvili, Some partial differential equations in Clifford analysis. Complex methods for partial differential equations (Ankara, 1998), 245-261, Int. Soc. Anal. Appl. Comput., 6, Kluwer Acad. Publ., Dordrecht, 1999.
E. Obolashvili, Beltrami equations and generalizations in Clifford analysis. Begehr special issue. Appl. Anal. 73 (1999), No. 1-2, 167-185.
E. Obolashvili, Paul Dirac and Clifford Analysis. Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 16 (2001), No. 1-3, 21-29.
E. Obolashvili, Pluriregular, plurigeneralized regular equations in Clifford Analysis. Georgian Math. J. 8 (2001), No. 3, 615-637.
E. Obolashvili, Some higher order equations in Clifford analysis. Functional-analytic and complex methods, their interactions, and applications to partial differential equations (Graz, 2001), 414-437, World Sci. Publishing, River Edge, NJ, 2001.
Z. Omiadze, II-categories. Identity 1-arrow retracts, coretracts and isomorphic 1-arrows. Proc. A. Razmadze Math. Inst. 117 (1998), 103-119.
V. Paatashvili, On one necessary condition for the continuity of singular Cauchy operator in Lebesgue spaces with variable exponent. Proc. A. Razmadze Math. Inst. 138 (2005), 103-106.
D. K. Park, H. J. W. Mueller-Kirsten, J. Q. Liang and A. V. Shurgaia, Instanton Sphaleron transitions in the Abelian higgs model on a circle. Int. J. Mod. Phys. A 16 (2001), 3951-3966.
D. K. Park, H. J. W. Mueller-Kirsten, J. Q. Liang and A. V. Shurgaia, Functional relation of interquark potential with interquark distance. Phys. Lett. B 501 (2001), 54-59.
N. Partsvania, On a boundary value problem for the two-dimensional system of evolution functional differential equations. Mem. Differential Equations Math. Phys. 20 (2000), 154-158.
N. Partsvania, On bounded solutions of second order nonlinear nonautonomous differential equations. (Russian) Differ. Uravn. 42 (2006), No. 11, 1579-1580.
N. Partsvania, On solvability of boundary value problems for second order nonlinear differential equations. (Russian) Differentsial’nye Uravneniya 43 (2007), No. 2, 275-277; English transl.: Differ. Equations 43 (2007), No. 2, 286-289.
N. Partsvania and B. Půža, On the periodic boundary value problem for nonlinear differential equations with deviated arguments. (Russian) Differentsial’nye Uravneniya 43 (2007), No. 11, 1578-1579.
D. Pataraia, Description of all functions definable by formulæ of the 2nd order intuitionistic propositional calculus on some linear Heyting algebras. J. Appl. Non-Classical Logics 16 (2006), No. 3/4, 457-484.
A. Patchkoria, Crossed semimodules and Schreier internal categories in the category of monoids. Georgian Math. J. 5 (1998), No. 6, 575-581.
A. Patchkoria, Homology and cohomology monoids of presimplicial semimodules. Bull. Georgian Acad. Sci. 162 (2000), No. 1, 9-12.
A. Patchkoria, Chain complexes of cancellative semimodules. Bull. Georgian Acad. Sci. 162 (2000), No. 2, 206-208.
A. Patchkoria, Extension of semimodules and the Takahashi functor Ext_{L}(C,A). Homology Homotopy Appl. 5 (2003), No. 1, 387-406.
T. Pirashvili, Euler-Poincare characteristic of Lie algebras. J. Lie Theory 8 (1998), 429-431.
T. Pirashvili, Simplicial degree of functors. Math. Proc. Cambridge Philos. Soc. 126 (1999), 45-62.
T. Pirashvili, Projectives are free for nilpotent algebraic theories. Algebraic K-theory and its applications (Trieste, 1997), 589-599, World Sci. Publishing, River Edge, NJ, 1999.
T. Pirashvili, Dold-Kan type theorem for -groups. Math. Ann. 318 (2000), 277-298.
T. Pirashvili, Hodge decomposition for higher order Hochschild homology. Ann. Sci. École Norm. Sup. (4) 33 (2000), No. 2, 151-179.
T. Pirashvili, The Ganea term for CCG-homology. Extracta Math. 15(2000), No. 1, 231-235.
T. Pirashvili, On the PROP corresponding to bialgebras. Cah. Topol. Géom. Différ. Catég. 43 (2002), No. 3, 221-239.
T. Pirashvili, Polynomial functors over finite fields (after Franjou, Friedlander, Henn, Lannes, Schwartz, Suslin). Séminaire Bourbaki, Vol. 1999/2000. Astérisque No. 276 (2002), 369-388.
T. Pirashvili, Sets with two associative operations. Cent. Eur. J. Math. 1 (2003), No. 2, 169-183 (electronic).
T. Pirashvili, André-Quillen homology via functor homology. Proc. Amer. Math. Soc. 131 (2003), No. 6, 1687-1694.
T. Pirashvili, Vanishing line for the descent spectral sequence. Arch. Math. (Basel) 80 (2003), No. 6, 615-619.
T. Pirashvili, Groupoid enrich categories and natural systems. Theory Appl. Categ. 14 (2005), 286-293.
T. Pirashvili and B. Richter, Robinson-Whitehouse complex and stable homotopy. Topology 39 (2000), No. 3, 525-530.
T. Pirashvili and B. Richter, Hochschild and cyclic homology via functor homology. K-Theory 25 (2002), No. 1, 39-49.
O. Purtukhia, On the representation of measure-valued solutions of second order stochastic parabolic equations. Proc. A. Razmadze Math. Inst. 116 (1998), 133-158.
O. Purtukhia, Fubini type theorems for ordinary and stochastic integrals. Proc. A. Razmadze Math. Inst. 130 (2002), 101-114.
O. Purtukhia, Stochastic integral representation of functionals of Poisson processes. Proc. A. Razmadze Math. Inst. 143 (2007), 37-60.
V. Rotar and T. Shervashidze, On an extremum problem. Mem. Differential Equations Math. Phys. 24 (2001), 109-114.
A. Saginashvili, Singular integral operators with the complex conjugation. Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 13 (1998), No. 1, 48-51.
A. Saginashvili, On Volterra type singular integral equations. Georgian Math. J. 8 (2001), No. 3, 639-644.
A. Saginashvili, On integral equations with fixed singularities. Proc. A. Razmadze Math. Inst. 130 (2002), 115-124.
A. Saginashvili, On the oblique derivative problem. Proc. A. Razmadze Math. Inst. 139 (2005), 142-144.
S. Saneblidze, On the homotopy classification of spaces with a fixed Pontrjagin algebra. Bull. Georgian Acad. Sci. 157 (1998), No. 1, 11-13.
S. Saneblidze, Functor D with coefficients in an extraordinary homology theory. Bull. Georgian Acad. Sci. 158 (1998), No. 2, 211-212.
S. Saneblidze, On the homotopy classification of spaces by the fixed loop space homology. Proc. A. Razmadze Math. Inst. 119 (1999), 155-164.
S. Saneblidze and R. Umble, Diagonals on the permutahedra, multiplihedra and associahedra. Homology Homotopy Appl. 6 (2004), No. 1, 363-411.
L. Shapakidze, On equilibria in the problem of the flow of a fluid between two differently rotating permeable cylinders. (Russian) Problems in the investigation of the stability and stabilization of motion (Russian), 86-99, 164, Ross. Akad. Nauk, Vychisl. Tsentr, Moscow, 1999.
L. Shapakidze, On the bifurcation of viscous flows between two permeable cylinders in the presence a transverse pressure gradient. Proc. A. Razmadze Math. Inst. 130 (2002),125-132.
L. Shapakidze, On the stability of couette flow between two rotating cylinders in the presence of a transverse pressure gradient. Proc. A. Razmadze Math. Inst. 136 (2004), 115-126.
L. Shapakidze, The influence of wall permeability on the stability of flows between two rotating cylinders with a pressure gradient acting round the cylinders. Proc. A. Razmadze Math. Ins. 141 (2006), 123-130.
L. Shaphakidze, On equilibrium in the liquid flow between two permeable cylinders in the presence of transversal pressure gradient. Proc. A. Razmadze Math. Inst. 143 (2007), 149-150.
K. Shashiashvili and M. Shashiashvili, Estimation of the derivative of the convex function by means of its uniform approximation. Journal of Inequalities in Pure and Applied Mathematics 6 (2005), No. 4.
M. Shashiashvili, A. Danelia, and B. Dochviri, On new energy estimates for the multidimensional obstacle problem. Mem. Differential Equations Math. Phys. 31 (2004), 15-34.
N. Shavlakadze, On some contact problems for bodies with elastic inclusions. Georgian Math. J. 5(1998), No. 3, 285-300.
N. Shavlakadze, A contact problems of the interaction of a semi-finite inclusion with a plate. Georgian Math. J. 6 (1999), No. 5, 489-500.
N. Shavlakadze, On singularities of contact stress upon tension and bending of plates with elastic inclusions. Proc. A. Razmadze Math. Inst. 120 (1999), 135- 147.
N. Shavlakadze, Contact problem of an elastic plane strenghtened by a periodic system of inclusions of variable rigidity. Proc. A. Razmadze Math. Inst. 123( 2000), 135-146.
N. Shavlakadze, Contact problem on a plate bending with a thin fastener. (Russian) Izv. Ross. Akad. Nauk Mekh. Tv. Tela 2001, No. 3, 144-150.
N. Shavlakadze, Bending of circle plate with elastic inclusion. (Russian). Izv. Nats. Akad. Nauk Armen. Mekh. 54(2001), No. 1, 22-31.
N. Shavlakadze, The bending of an elastic anisotropic plate reinforced on a finite segment by an inclusion of variable rigidity. (Russian) Izv. Nats. Akad. Nauk Armen. Mekh. 54 (2001), No. 1, 56-63.
N. Shavlakadze, Nonclassical biharmonic boundary value problems describing bending of finite and infinite plates with inclusions. Mem. Differential Equations Math. Phys. 22 (2001), 91-140.
N. Shavlakadze, Bending of an elastic anisotropic plate with circular opening stiffened over finite areas. (Russian) Prikl. Mekh. 38 (2002), No. 3, 114-121; English transl.: J. Appl. Mech. 38 (2002), No. 3, 356-364.
N. Shavlakadze, Bending of elastic anisotropic plate with elastic inclusion. (Russian) Izv. Ross. Akad. Nauk, Mekh. Tv. Tela, 2003, No. 6, 102-108.
N. Shavlakadze, Contact problem for orthotropic plate with an elastic semi-infinite inclusion. Proc. A. Razmadze Math. Inst. 138 (2005), 73-80.
N. Shavlakadze, The contact problem of the mathematical theory of elasticity for plates with an elastic inclusion. Acta Appl. Math. 99 (2007), No. 1. 29-51.
N. Shavlakadze, The contact problem for piecewise homogeneous elastic plane reinforced by a semi-infinite inclusion cutting the interface at right angles. Proc. A. Razmadze Math. Inst. 143 (2007), 151-153.
T. Shervashidze, Some properties of a parametric estimate of the distribution density. Seminari de Probab. e Statis. Matemat. anno academ. 1995-96 e 1996-97, Ed. Universita degli studi di Cassino, 1998, 97-146.
T. Shervashidze, Local limit theorems for conditionally independent random variables controlled by a finite Markov chain. (Russian) Teor. Veroyatnost. i Primen. 44 (1999), No. 1, 143-148; English transl.: Theory Probab. Appl. 44 (1999), No.1, 131-135.
T. Shervashidze, Bounds for the characteristic functions of some degenerate multidimensional distributions. Georgian Math. J. 10 (2003), No. 2, 353-362.
T. Shervashidze, Limit theorems for weighted sums of independent identically distributed random vectors. Proc. A. Razmadze Math. Inst. 136 (2004), 127-134.
T. Shervashidze, On limit theorems for weighted sums of i.i.d. random vectors. Materials of 5th International Fergana Conference “Limit Theorems of Probability Theory and Their Applications” (Fergana Colloquium) dedicated to the memory of Acad. S. Kh. Sirazhdinov, Tashkent, 2005, 45-50.
T. Shervashidze, I. Bokuchava, and Z. Kvatadze, Central limit theorem for conditionally m-dependent random vectors controlled by a finite Markov chain. Proc. of 4th Iranian International Statistics Conference, vol. 1, Shahid Beheshti University Press, Tehran, Iran, 1999, 249-260.
O. Shinjikashvili, On an application of the theory of functions of a complex variable to the plane problem of non-homogeneous theory of elasticity. Proc. A. Razmadze Math. Inst. 117 (1998), 79-88.
O. Shinjikashvili, On one contact problem of the non-homogeneous theory of elasticity. Proc. A. Razmadze Math. Inst. 118 (1998), 147-157.
O. Shinjikashvili, Application of the methods of analytic functions to the solution of boundary value problems of elasticity for a non-homogeneous half-plane. Proc. A. Razmadze Math. Inst. 126 (2001), 65-74.
A. V. Shurgaia, Euclidean field theory and singular classical field configurations. Ann. Physics 282 (2000), 87-99.
R. Sulikashvili, On motion symmetric Gyrostat in a Newtonian force field. (Russian) J. Appl. Math. Mech. 62 (1998), No. 3, 473-475.
R. Sulikashvili, Equlibria of a rigid body moving around a fixed point in the central Newtonian field. (Russian) Problem in the Study of Stability and Stabilization of Motion, Moscow, 1999, 113-120.
R. Sulikashvili, Sur la stabilité du corps solide avec la distribution descrete de masses dans le champ central de forces. CAHIER, Paris, 2002.
Sh. Tetunashvili, On the iterated summability of Trigonometric Fourier series. Proc. A. Razmadze Math. Inst. 139 (2005), 145-147.
Sh. Tetunasvili, “Correction” of the matrix of partial sums and trigonometric Fourier series. Proc. A. Razmadze Math. Inst. 140 (2006), 166-168.
Sh. Tetunashvili, On the Fubini’s sets for multiple functions series. Proc. A. Razmadze Math. Inst. 143 (2007), 138-147.
Sh. Tetunashvili, On the summability of Fourier trigonometric series of variable order. Proc. A. Razmadze Math. Inst. 145 (2007), 130-131.
Z. Todua, On the properties of cohomological functors with coefficients in latices. Bull. Georgian Acad. Sci. 161 (2000), No. 3, 373-376.
Z. Todua, On homology groups based on Kurosch type coverings in categories of complete distributive lattices. Bull. Georgian Acad. Sci. 167 (2003), No. 2, 210-213.
T. Toronjadze, Optimal mean-variance robust hedging under asset price model misspecification. Georgian Math. J. 8 (2001), No. 1, 189-199.
T. Toronjadze, Strong innovation and its applications to information diffusion modeling in finance. Georgian Math. J. 9 (2002), No. 2, 383-402.
Z. P. Tsigroshvili, Some notes on goodness-of-fit tests and innovation martingales. Proc. A. Razmadze Math. Inst. 117 (1998), 89-102.
Z. Tsigroshvili, Compound sums and counting processes. Proc. A. Razmadze Math. Inst. 135 (2004), 29-38.
A. Tsitskishvili, Solution of some filtration problems with partially unknown boundaries. Mem. Differential Equations Math. Phys. 15 (1998), 109-138.
A. Tsitskishvili, Methods of solution of one class of plane problems of filtration. Mathematical methods of filtration and their applications. Collection of scientific works. Russian Academy of Sciences. Siberian branch of M. A. Lavrent’ev Institute of Hydrodynamics, Novosibirsk, 1999, 177-188.
A. Tsitskishvili, Solutions of the problem of the theory of filtration through a plane earth dam (coffer-dam) when water depth in a downstream can be neglected. Proc A. Razmadze Math. Inst. 126 (2001), 75-96.
A. Tsitskishvili, On the motion of underground waters towards a slope of an earth structure. Proc. A. Razmadze Math. Inst. 128 (2002), 121-146.
A. Tsitskishvili, Connection between solutions of the Schwarz nonlinear differential equation and those of the plane problems filtration. Mem. Differential Equations Math. Phys. 28 (2003), 109-137.
A. Tsitskishvili, Extension of the class of effectively solvable two-dimensional problems with partially unknown boundaries in the theory of filtration. Mem. Differential Equations Math. Phys. 32 (2004), 89-126.
A. Tsitskisvili, Solution of spatial axially symmetric problems of the theory of filtration with partially unknown boundaries. Mem. Differential Equations Math. Phys. 39 (2006), 105-140.
A. Tsitskishvili, The exact mathematical method of solution of spatial axi-symmetric problems of filtration with partially unknown boundaries, and its application to coffer-dam hydraulics. Proc. A. Razmadze Math. Inst. 142 (2006), 67-108.
A. Tsitskishvili, The exact solution of spatial axisymmetric problems of the theory of filtration with partially unknown boundaries. Mem. Differential Equations Math. Phys. 42 (2007), 93-125.
A. Tsitskishvili and R. Tsitskishvili, Solution of the two-dimensional problem of the theory of filtration through the plane earth dam of trapezoidal profile in the absence of leaking interval. Trudy Tbiliss. Univ. Mat. Mekh. Astronom. 346 (2003).
A. Tsitsqishvili and Z. Tsitsqishvili, Summary filtration from a spatial axisymmetric bastn of trapezoidal cross section. International Conference “The problems of continuum mechanics” dedicated to the 100 th birthday anniversary of Professor A. Gorgidze. Transactions. Tbilisi, 2007, 131-134.
D. Zangurashvili, Some categorical algebraic properties: counter-examples for functor categories. Appl. Categ. Structures 13 (2005), 113-120.
G. Zhorzholiani, On one inverse problem for an orthotropic plane. Bull. Georgian Acad. Sci. 166 (2002), No. 3, 462-465.
G. Zhorzholiani, On one inverse problem of the plane theory of elasticity. Proc. A. Razmadze Math. Inst. 130 (2002), 139-144.
G. Zhorzholiani, Reduction of one inverse problem of the plane theory of elasticity for an anisotropic body to the singular integral equation. Bull. Georgian Acad. Sci. 167 (2003), No. 3, 419-422.