S muxigulaSvilis publikaciebi monografiebi
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monografiebi 1. Some two-point boundary value problems for second order functional differential equations (with A. Lomtatidze). Masaryk University, Brno, 2000. 2. Two-point boundary value problems for second order functional differential equations. Mem. Differential Equations Math. Phys. 20 (2000), 1-112.
3. On periodic solutions of second order functional differential equations (with A. Lomtatidze). Mem. Differential Equations Math. Phys. 5 (1995), 125-126. 4. On a two-point boundary value problem for second order functional differential equations. Mem. Differential Equations Math. Phys. 6 (1997), 124-126. 5. On a two-point boundary value problem for second order functional differential equations, I (with A. Lomtatidze). Mem. Differential Equations Math. Phys. 10 (1997), 125-128. 6. On a two-point boundary value problem for second order functional differential equations, II (with A. Lomtatidze). Mem. Differential Equations Math. Phys. 10(1997), 150-152. 7. On two-point boundary value problems for two-dimensional differential systems with singularities. Georgian Math. J. 10(2003), No.3, 595-602. 8. On the unique solvability of the Dirichlet problem for a second order linear functional differential equation. (Russian) Differentsialnye Uravneniya 40(2004), No.4, 477-484; translation in Differ. Equ. 40(2004), No.4, 515-523. 9. On nonlinear boundary value problems for two-dimensional differential systems.(with I. Kiguradze). (Russian) Differentsialnye Uravneniya 40(2004), No.6, 747–755; translation in Differ. Equ. 40(2004), No.6, 797-806.
10. On A Boundary Value Problem For n -th Order Linear Functional Differential Systems.(with R.Hakl) Georgian Math. J. 12(2005), No.2,229- 236. 11. On One Estimate For A Periodic Functions.(with R.Hakl) Georgian Math. J. 12(2005), No.1, 97-114. 12. On periodic solutions of two-dimensional nonautonomous differential systems.(with I. Kiguradze). Nonlinear Anal. 60A(2005), No.2, 241- 256.
13. On the Solvability of the Dirichlet Problem for Nonlinear Second-Order Functional-Differential Equations.(with I. Sremr). (Russian) Differentsialnye Uravneniya 41(2005), No.10, 1353–1362; translation in Differ. Equ. 41(2005), No.10, 1425-1435. 14. On A Periodic Boundary Value Problem for Second Order Linear functional differential equations. Boundary Value Problems 2005(2005), No.3, 247-261. 15. On the Solvability of the Periodic Problem for Nonlinear Second-Order Function-Differential Equations. (Russian) Differentsialnye Uravneniya 42(2006), No.3, 356–365; translation in Differ. Equ. 42(2006), No.3, 380-390. 16. On A two-point Boundary Value Problem for Second Order Linear Functional Differential Equations With Monotone Operators.(with I. Sremr) Funct. Differ. Equ. 13(2006), No.3-4,519-537. 17. On Periodic Solutions of Second Order Functional Differential Equations. Italian J. of Pure and Appl. Math. (2006) No.20, 29-50. 18. On A Periodic Boundary Value Problem For Cyclic Feetback Type Linear Functional Differential Systems. Archiv der Mathematik, 87(2006), 255-260. 19. On A Periodic Boundary Value Problem For 3th Order linear Functional Differential Equations. Funct. Differ. Equ.(with B.P°uˇza) 14(2007), 347-361.
20. On a Periodic Boundary Value Problem For Fourth Order Linear Functional Differential Equations.Georgian Math. J.14(2007), No.3, 533- 542. 21. On a Periodic Boundary Value Problem for Third Order Linear Functional Differential Equations. Nonlinear Anal. 66 (2007) 527-535. 22. On A Periodic Boundary Value Problem For Cyclic Feetback Type Linear Functional Differential Systems. Mem. Differential Equations Math. Phys. (with B.P°uˇza) 40(2007), 67-75. 23. On A Periodic Boundary Value Problem For Third Order Linear Functional Differential Equations. Mem. Differential Equations Math. Phys. (with R. Hakl) 41(2007), 27-42. 24. 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. 25. Nonnegative Solutions of The Characteristic Initial Value Problem For Linear Partial Functional- Differential Equations of Hiperbolic Type. Math. Comput. Modelling, (with A. Lomtatidze, J. Sremr) 47(2008), No.11-12, 1292-1313. 26. An optimal condition for the uniqueness of a periodic solution for linear functional differential systems. (with I. Gritsay) Electronic Journal of Qualitative Theory of Differential Equations 2009, No. 59, 1-12. 27. Periodic Boundary Value Problem For Functional Differential Equations Of Higher Order. (with R. Hakl) Georgian Math. J. Volume 16 (2009), Number 4, 651-665. 28. On one problem with nonlinear boundary condition for systems of functional-differential equations.(Russian) Differentsial’nye Uravneniya (Differential Equations), 46 (2010), No. 1, 1-13. 29. On periodic solutions of the system of two linear differential equations. (with I. Kiguradze ) Mem. Differential Equations Math. Phys. 48 (2009), 175-182. 30. The Dirichlet BVP The second Order Nonlinear Ordinary Differential Equation At Resonance. Italian J. Of Pure and Appl. Math.(accepted). 31. An Optimal Condition For The Uniqueness Of Periodic Solution For Linear Functional Differential Systems. Mathematische Nachrichten. (accepted). 32. On a periodic problem for higher-order differential equations with a deviating argument. Nonlinear Anal. (with B. P°uˇza and N. Partsvania). (accepted). m.svanaZis publikaciebi monografiebi 1. Boundary-contact Value Problems of the Elasticity Theory, Tbilisi University Press, Tbilisi, 1980, 88 p. (with D.G.Natroshvili, A.J. Djagmaidze). 2. Fundamental Boundary and Boundary-contact Value Problems of Anisotropic
3. Some Problems of the Linear Theory of Elastic Mixtures, Tbilisi University Press, Tbilisi, 1986, 215 p. (with D.G.Natroshvili, A.J. Djagmaidze).
2, pp. 305-308, 1979. 2. Some contact problems for piece-wise homogeneous bodies. Proceed. Conference in
Natroshvili, A. J. Djagmaidze). 3. Asymptotic estimates of the potential type integrals on infinite manifolds, Some
4. Dynamical problems of coupled thermoelasticity for piece-wise homogeneous bodies, Proceed. of I.Vekua Inst. of Applied Math., v. 10, pp. 99-190, 1981 (with D. G. Natroshvili). 5. Effective solution of some dynamical problems for anisotropic elastic bodies, Bulletin.
6. Dynamical problems of elasticity and thermoelasticity theory for piece-wise homogeneous bodies, Thesis of Dissertation, Tbilisi State University, 1984. 7. The existence theorems for the solutions of dynamical problems of the thermoelasticity theory for the piece-wise homogeneous isotropic bodies, Proceed.of
8. Dynamical problems of elasticity theory of two-component mixtures, Reports of Enlarged Sessions of the Seminar of I.Vekua Inst. of Applied Math., v. 2, No 2, pp. 99-102, 1986. 9. The fundamental matrix of the linearized equations of the theory of elastic mixtures,
10. Potential methods in the problems of linear theory of elastic mixtures, Teubner-Texte zur Mathematik, Band 111, pp. 199-206, 1989 (with D. G. Natroshvili). 11. Representation of the general solution of the equation of static of linear theory of a two-component elastic mixtures, Reports of Enlarged Sessions of the Seminar of
12. Solution of boundary value problems in the linear theory of a two-component elastic mixture, Proceed. of I.Vekua Inst. of Applied Math., v. 39, pp. 218-226, 1990. 13. Fundamental solutions of equations of stable oscillation and pseudooscillation of a two-component elastic mixture, Proceed. of I.Vekua Inst. of Applied Math., v. 39, pp. 227-240, 1990. 14. Solution of dynamical problems of linear theory of elastic mixture, Reports of
pp. 140-143, 1991. 15. The uniqueness of solutions of stable oscillation of linear theory of a two-component elastic mixture, Bulletin Acad. Sci. of Georgia, v. 145, No 1, pp. 51-54, 1992. 16. Uniqueness theorems of the solutions of interior stable oscillation problems of the linear theory of elastic mixture, Proceed. of I.Vekua Inst. of Applied Math., v. 46, pp. 179-190, 1992. 17. The uniqueness of the solution of exterior boundary-value problems of stable oscillation of the linear theory of elastic mixture, Proceed. of I.Vekua Inst. of Applied
18. Representation of the general solution of the equation of steady state oscillations of two-component elastic mixtures, Prikladnaia Mechanika (Eng. Tr.: Int. Applied
19. The asymptotic distribution of eigenvalues and eigenfunctions of the oscillation problems of the linear theory of elastic mixtures, Reports of Enlarged Sessions of the
20. The fundamental solution of the equation of steady oscillations for a thermoelastic mixtures. Prikladnaia Mechanika (Eng. Tr.: Int. Applied Mech.), v. 31, No 7, pp. 63- 71, 1995. 21. Asymptotic distribution of eigenfunctions and eigenvalues of the boundary value problems of linear theory of elastic mixtures, Georgian Math. J., v. 3, No 2, pp. 177- 200, 1996. 22. The fundamental solution of the oscillation equation of the thermoelasticity theory of mixture of two elastic solids, J. Thermal Stresses, v. 19, No 7, pp. 633-648, 1996. 23. Three-dimensional problems of mathematical theory of elastic mixtures, Thesis of Dissertation, Tbilisi State University, 1998. 24. On existence of eigenfrequencies in the theory of two-component elastic mixtures, Quart. J. Mech. Appl. Math., v. 51, pl. 3, pp. 427-437, 1998. 25. Potential method in the linear theory of binary mixtures for thermoelastic solids, J. Thermal Stresses, v. 23, No 6, pp. 601-626, 2000 (with T. Burchuladze). 26. Boundary value problems of the theory of thermoelasticity with microtemperatures, PAMM-Proceedings in Applied Mathematics and Mechanics, v. 3, Issue 1, pp. 188- 189, 2003. 27. Steady oscillation problems in the theory of thermoelasticity with microtemperatures,
28. Fundamental solutions of the equations of the theory of thermoelasticity with microtemperatures, J. Thermal Stresses, v. 27, No 2, pp. 151-170, 2004. 29. Fundamental solutions in the theory of micromorphic elastic solids with microtemperatures, J. Thermal Stresses, v. 27, No 4, pp. 345-366, 2004. 30. Fundamental solution of the system of equations of steady oscillations in the theory of fluid-saturated porous media, Transport in Porous Media, v. 56, No 1, pp. 39-50, 2004 (with R. de Boer). 31. Fundamental solution of the system of equations of steady oscillations in the theory of microstretch elastic solids, Int. J. Engng. Sci., v. 42, No 17-18, pp. 1897-1910, 2004. 32. Fundamental solution of the system of equations of steady oscillations in the theory of thermomicrostretch elastic solids, Int. J. Engng. Sci., v. 43, No 5-6, pp. 417-431, 2005 (with S. De Cicco). 33. Fundamental solution in the theory of consolidation with double porosity, Journal of
34. Steady oscillation problems in the theory of thermomicrostretch elastic solids, Proceedings of the 6th International Congress on Thermal Stresses. Vienna, Austria, May 26-29, 2005, Vol. 1, 189-192. 35. On the representations of solutions in the theory of fluid-saturated porous media,
36. Fundamental solution in the theory of micropolar thermoelasticity without energy dissipation, J. Thermal Stresses, v. 29, pp. 57-66, 2006 (with V. Tibullo and V. Zampoli). 37. Plane waves and vibrations in the elastic mixtures, Proceedings "WASCOM 2005" 13th Inter. Conference on Waves and Stability in Continuous Media, World Scientific, Singapore, pp. 524-529, 2006. 38. Boundary integral method in the theory of bone poroelasticity, J. Biomechanics, v. 39, Suppl. 1, p. S468, 2006. 39. On the representations of solutions in the theory of thermoelasticity with microtemperatures, J. Thermal Stresses, v. 29, No 9, pp. 849-864, 2006 (with A. Scalia).
40. Basic properties of the fundamental solution in the theory of micropolar thermoelasticity without energy dissipation, Appl. Math., Informatics and Mech. v.11, pp. 49-63, 2006 (with P. Giordano and V.Tibullo). 41. Fundamental solution in the theory of micropolar thermoelasticity for materials with Voids, J. Thermal Stresses, v. 30, No 3, pp. 213-229, 2007 (with M. Ciarletta, A. Scalia).
42. Fundamental solution in the linear theory of thermoviscoelastic mixtures, European J. Appl. Math., v. 18, pp. 323-335, 2007 (with G. Iovane). 43. On the representations of general solution in the theory of micropolar thermoelasticity without energy dissipation, Ukrainian Math. J., v. 59, No 10, pp. 1560-1568, 2007 (with V. Zampoli, P. Giordano). 44. Potential method in the theory of thermoelasticity of binary mixtures, Proceedings of
pp. 273- 276. 45. Boundary value problems in the theory of binary mixtures, PAMM-Proceedings in
46. Plane waves and vibrations in the elastic materials with microstructure, Proceedings "WASCOM 2007" 14th International Conference on Waves and Stability in Continuous Media, World Scientific, Singapore, pp. 554-559, 2008. 47. Plane waves and eigenfrequencies in the linear theory of binary mixtures of thermoelastic solids, J. Elasticity, v. 92, pp. 195-207, 2008. 48. Boundary value problems of the theory of bone poroelasticity, J. Biomechanics, v. 41, Suppl. 1, p. S339, 2008. 49. Boundary value problems in the two-temperature theory of thermoelasticity of binary mixtures, In: Z. Kotulski, P. Kowalczyk, W. Sosnowski (Eds.), Selected Topics of
2008.
50. Boundary value problems in the theory of binary mixtures of thermoelastic solids, PAMM-Proceedings in Applied Mathematics and Mechanics, v. 8, Issue 1, pp. 10469-10470, 2008. 51. Plane waves and vibrations in the micropolar thermoelastic materials with voids,
Buonano) . 52. Fundamental Solution in the Theory of viscoelastic Mixtures, Journal of Mechanics
53. Potential method in the linear theory of thermoelasticity with microtemperatures. J. Thermal Stresses, v. 32, pp. 1024 - 1042, 2009 (with A. Scalia). 54. Boundary value problems in the theory of thermoelasticity of binary mixtures with different constituent temperatures, Proceedings of the 8th International Congress on
55. On the linear theory of thermoelasticity with microtemperatures, Proceedings of the 8th International Congress on Thermal Stresses, 1-4 June, 2009, Urbana, USA, v. II, pp. 465 - 468, 2009 (with A. Scalia). 56. Basic theorems in the equilibrium theory of thermoelasticity with microtemperatures.
da Tekhnika, n. 3, 1972 (in Georgian). [2]. On a property of convex hulls, Bull. Acad. Sci. GSSR, v. 71, n. 1, 1973 (in Russian). [3]. To the problem of illumination, Bull. Acad. Sci. GSSR, v. 71, n. 2, 1973 (in Russian). [4]. Characteristic properties of parallelepipeds, Bull. Acad. Sci. GSSR, v. 72, n. 1, 1973 (in Russian). [5]. Some combinatorial properties of subsets of the Euclidean spaces, Thesis, Izd. Tbil. Gos. Univ., Tbilisi, 1974. [6]. Absolutely measure zero sets nonmeasurable in the Lebesgue sense, Bull. Acad. Sci. GSSR, v. 75, n. 2, 1974 (in Russian). [7]. On extensions of the Lebesgue measure, Bull. Acad. Sci. GSSR, v. 75, n. 3, 1974 (in Russian). [8]. Realization of the coloured graphs in Hilbert spaces, Bull. Acad. Sci. GSSR, v. 76, n. 1, 1974 (in Russian). [9]. On decompositions of polytopes, Bull. Acad. Sci. GSSR, v. 77, n. 1, 1975 (in Russian). [10]. On strongly transitive transformation groups, Bull. Acad. Sci. GSSR, v. 79, n. 1, 1975 (in Russian). [11]. On sets with the uniqueness property with respect to classes of invariant measures, Bull. Acad. Sci. GSSR, v. 79, n. 3, 1975 (in Russian). [12]. On locally conical sets, Bull. Acad. Sci. GSSR, v. 80, n. 1, 1975 (in Russian). [13]. One example of an invariant measure, DAN SSSR, v. 220, n. 1, 1975 (in Russian). [14]. On nonelementary measures, DAN SSSR, v. 220, n. 2, 1975 (in Russian). [15]. Certain types of invariant measures, DAN SSSR, v. 222, n. 3, 1975, 538-540 (in Russian). [16]. On a nonseparable extension of the Lebesgue measure, DAN SSSR, v. 226, n. 1, 1976 (in Russian). [17]. On absolutely nonmeasurable and absolutely negligible sets with respect to the classes of invariant measures, DAN SSSR, v. 226, n. 2, 1976 (in Russian). [18]. On intransitivity classes of motion groups of the Euclidean spaces, DAN SSSR, v. 226, n. 3, 1976 (in Russian). [19]. On Vitali systems, Bull. Acad. Sci. GSSR, v. 81, n. 2, 1976 (in Russian). [20]. On differentiation by Vitali systems, Bull. Acad. Sci. GSSR, v. 82, n. 2, 1976 (in Russian). [21]. On metrically transitive measures, Bull. Acad. Sci. GSSR, v. 82, n. 3, 1976 (in Russian). [22]. On extensions of invariant measures, Bull. Acad. Sci. GSSR, v. 83, n. 3, 1976 (in Russian). [23]. Transfinite sequences of mappings of in_nite sets, Bull. Acad. Sci. GSSR, v. 84, n. 3, 1976 (in Russian). [24]. Some applications of Hamel bases, Bull. Acad. Sci. GSSR, v. 85, n. 1, 1977, 17-20 (in Russian). [25]. Fully symmetric configurations, Bull. Acad. Sci. GSSR, v. 85, n. 2, 1977 (in Russian). [26]. On mappings of infnite sets, Bull. Acad. Sci. GSSR, v. 86, n. 2, 1977 (in Russian). [27]. Characterization of rt-sets in Euclidean spaces, Bull. Acad. Sci. GSSR, v. 86, n. 3, 1977 (in Russian). [28]. On isomorphisms of binary relations, Bull. Acad. Sci. GSSR, v. 87, n. 3, 1977, (in Russian). [29]. Orthogonal simplexes in the four-dimensional space, Bull. Acad. Sci. GSSR, v. 88, n. 1, 1977 (in Russian). [30]. On the existence of Borel isomorphisms, Bull. Acad. Sci GSSR, v. 88, n. 3, 1977 (in Russian). [31]. To the Sierpinski problem on proper extensions of invariant measures, DAN SSSR, v. 232, n. 2, 1977 (in Russian). [32]. On nonmeasurable sets, DAN SSSR, v. 232, n. 5, 1977 (in Russian). [33]. Some properties of uniform subsets of the Euclidean plane, DAN SSSR, v. 235, n. 4, 1977 (in Russian). [34]. Equidecomposability of polyhedra with respect to the group of homoth- eties and translations, DAN SSSR, v. 236, n. 3, 1977 (in Russian). [35]. Some properties of the centre of symmetry, Bull. Acad. Sci. GSSR, v. 89, n. 1, 1978 (in Russian). [36]. On the Vitali theorem about nonmeasurable sets, Bull. Acad. Sci. GSSR, v. 90, n. 1, 1978 (in Russian). [37]. On relative density points, Bull. Acad. Sci. GSSR, v. 90, n. 2, 1978 (in Russian). [38]. A_ne diameters of convex bodies, Bull. Acad. Sci. GSSR, v. 90, n. 3, 1978 (in Russian). [39]. On an invariant defined for the class of three-dimensional polyhedra, Bull. Acad. Sci. GSSR, v. 91, n. 1, 1978 (in Russian). [40]. On the number of metrically transitive measures defined on the given sigma-algebra, Bull. Acad. Sci. GSSR, v. 92, n. 1, 1978 (in Russian). [41]. Invariant measures in vector spaces, Bull. Acad. Sci. GSSR, v. 92, n. 2, 1978 (in Russian). [42]. On the Banach-Tarski paradox, Bull. Acad. Sci. GSSR, v. 92, n. 3, 1978 (in Russian). [43]. Sets having the uniqueness property with respect to the Lebesgue mea- sure, DAN SSSR, v. 240, n. 6, 1978 (in Russian). [44]. On equidecomposability of three-dimensional polyhedra with respect to the group of parallel translations and central symmetries, DAN SSSR, v. 243, n. 6, 1978 (in Russian). [45]. On the index of an isometric embedding, Proceedings of Institute of Applied Mathematics TGU, 5 - 6, Tbilisi, 1978 (in Russian). *[46]. Some Questions of Set Theory and Measure Theory, Izd. Tbil. Gos. Univ., Tbilisi, 1978 (in Russian). *[47]. Selected Topics in the Geometry of Euclidean Spaces, Izd. Tbil. Gos. Univ., Tbilisi, 1978 (in Russian). [48]. The axiom of choice in the general system theory, Bull. Acad. Sci. GSSR, v. 94, n. 3, 1979 (in Russian). *[49]. Some Questions of Functional Analysis and their Applications, Izd. Tbil. Gos. Univ., Tbilisi, 1979 (in Russian). [50]. On a property of Hamel bases, Bull. Acad. Sci. GSSR, v. 95, n. 2, 1979 (in Russian). [51]. The Szpilrajn-Marczewski axiom for extensions of Lebesgue measure, Bull. Acad. Sci. GSSR, v. 96, n. 1, 1979 (in Russian). [52]. On a covering of the continuum, Bull. Acad. Sci. GSSR, v. 96, n. 2, 1979 (in Russian). [53]. Absolutely nonmeasurable sets in abelian groups, Bull. Acad. Sci. GSSR, v. 97, n. 3, 1980 (in Russian). [54]. On the uniqueness property of a measure on its domain of de_nition, Bull. Acad. Sci. GSSR, v. 99, n. 1, 1980 (in Russian). [55]. On a class of subsets of the Euclidean plane having the uniqueness property with respect to the Lebesgue measure, Bull. Acad. Sci. GSSR, v. 100, n. 2, 1980 (in Russian). [56]. Some questions of the theory of invariant measures, Bull. Acad. Sci. GSSR, v. 100, n. 3, 1980 (in Russian). [57]. Nonmeasurable Hamel bases, DAN SSSR, v. 253, n. 5, 1980 (in Rus- sian). [58]. On an application of the Banach theorem, Reports of the Seminar of Institute of Applied Mathematics TGU, v. 14, 1980 (in Russian). [59]. Generalized limits on the real line, Bull. Acad. Sci. GSSR, v. 101, n. 1, 1981 (in Russian). [60]. On Invariant Extensions of the Lebesgue Measure, Thesis, IM AN USSR, Kiev, 1981 (in Russian). *[61]. Elements of the Combinatorial Theory of In_nite Sets, Izd. Tbil. Gos. Univ., Tbilisi, 1981 (in Russian). [62]. On quasi-invariant measures, Bull. Acad. Sci. GSSR, v. 101, n. 3, 1981 (in Russian). [63]. On a property of families of convex sets, Bull. Acad. Sci. GSSR, v. 102, n. 1, 1981 (in Russian). [64]. Some properties of G-measures in Euclidean spaces, Bull. Acad. Sci. GSSR, v. 102, n. 3, 1981 (in Russian). [65]. To the theory of equidecomposability, Bull. Acad. Sci. GSSR, v. 103, n. 3, 1981 (in Russian). [66]. One application of the Baire property, Bull. Acad. Sci. GSSR, v. 104, n. 2, 1981 (in Russian). [67]. The absolute negligibility of compacts in in_nite-dimensional Banach spaces, Bull. Acad. Sci. GSSR, v. 104, n. 3, 1981 (in Russian). [68]. The absolute nonmeasurability of the unit ball in an in_nite-dimensional separable Hilbert space, Bull. Acad. Sci. GSSR, v. 107, n. 1, 1982 (in Russian). [69]. Quasiinvariant measures in topological groups, Bull. Acad. Sci. GSSR, v. 108, n. 2, 1982 (in Russian). [70]. To the general theory of volumes, Bull. Acad. Sci. GSSR, v. 108, n. 3, 1982 (in Russian). *[71]. Invariant Extensions of the Lebesgue Measure, Izd. Tbil. Gos. Univ., Tbilisi, 1983, (in Russian). [72]. The continuum hypothesis and some questions of measure theory, Bull. Acad. Sci. GSSR, v. 111, n. 1, 1983 (in Russian). [73]. On Borel measures in nonseparable metric spaces, Ukrain. Math. Journ., v. 35, n. 5, 1983 (in Russian, with V.V.Buldygin). [74]. On measurable cardinals and the uniqueness property for _-_nite mea- sures, Bull. Acad. Sci. GSSR, v. 112, n. 1, 1983 (in Russian). [75]. The Baire property and generalized derivatives, Bull. Acad. Sci. GSSR, v. 112, n. 2, 1983 (in Russian). [76]. An approach to some undecidable statements of set theory, Bull. Acad. Sci. GSSR, v. 112, n. 3, 1983 (in Russian). *[77]. Topological Aspects of Measure Theory, Izd. Naukova Dumka, Kiev, 1984 (in Russian). [78]. On quasi-invariant and invariant measures, Bull. Acad. Sci. GSSR, v. 113, n. 2, 1984 (in Russian). [79]. On invariant measures in a Hilbert space, Bull. Acad. Sci. GSSR, v. 114, n. 1, 1984 (in Russian). [80]. To the existence of quasi-invariant measures, Bull. Acad. Sci. GSSR, v. 115, n. 1, 1984 (in Russian). [81]. Groups of transformations and absolutely negligible sets, Bull. Acad. Sci. GSSR, v. 115, n. 3, 1984 (in Russian). [82]. On simple polyhedra, Reports of Seminar of Institute of Applied Math- ematics TGU, v. 18, Tbilisi, 1984 (in Russian). [83]. To the uniqueness property of the Haar measure, Reports of Seminar of Institute of Applied Mathematics TGU, v. 18, Tbilisi, 1984 (in Russian). [84]. Independent families and universal coloured graphs, Reports of Seminar of Institute of Applied Mathematics TGU, v. 18, Tbilisi, 1984 (in Russian). [85]. On some sigma-algebras, Ukrain. Mathem. Journ., v. 37, n. 2, 1985 (in Russian). *[86]. Introduction to Combinatorial Geometry, Izd. Tbil. Gos. Univ., Tbilisi, 1985 (in Russian). [87]. On a problem of combinatorial geometry, Bull. Acad. Sci. GSSR, v. 118, n. 1, 1985 (in Russian). [88]. Partition of the three-dimensional space into congruent circles, Bull. Acad. Sci. GSSR, v. 119, n. 1, 1985 (in Russian). *[89]. Brunn-Minkowski Inequality and its Applications, Izd. Naukova Dumka, Kiev, 1985 (in Russian, with V.V.Buldygin, a revised and expanded version of this book was translated into English). [90]. Coloured quasihomogeneous graphs, Bull. Acad. Sci. GSSR, v. 120, n. 2, 1985 (in Russian). [91]. Anderson's inequality and unimodal measures, Prob. Theory and Math. Stat., v. 35, Kiev, 1986 (in Russian, with V.V.Buldygin, was translated into English). [92]. On cylindrical and Borel _-algebras, Ukrain. Math. Journ., v. 38, n. 1, 1986 (in Russian, with V.V.Buldygin, was translated into English). [93]. On Baire spaces, Bull. Acad. Sci. GSSR, v. 123, n. 2, 1986 (in Russian). [94]. Quasipolygons and their uncountable unions, Bull. Acad. Sci. GSSR, v. 124, n. 3, 1986 (in Russian). [95]. Some properties of isodyne topological spaces, Bull. Acad. Sci. GSSR, v. 127, n. 2, 1987 (in Russian). [96]. On some problems of combinatorial geometry, Proceedings of Tbilisi Mathem. Inst. of A.M.Razmadze, v. 85, Tbilisi, 1987. [97]. On Borel mappings of metric spaces, Bull. Acad. Sci. GSSR, v. 127, n. 3, 1987 (in Russian). [98]. On some properties of Jordan curves, Bull. Acad. Sci. GSSR, v. 129, n. 1, 1988 (in Russian). [99]. Groups of motions and the uniqueness property of Lebesgue measure, Bull. Acad. Sci. GSSR, v. 130, n. 1, 1988 (in Russian). [100]. Realizations of graphs in the three-dimensional Euclidean space, Ab- stracts of the IX-th Soviet Union Conference in Geometry, Kishinev, 1988. [101]. On Borel measures in the space R_, Ukrain. Mathem. Journ., v. 40, n. 5, 1988 (in Russian, was translated into English). [102]. On perfect probability measures, Bull. Acad. Sci. GSSR, v. 131, n. 1, 1988 (in Russian). [103]. Shifts and realizations of graphs, Bull. Acad. Sci. GSSR, v. 131, n. 2, 1988 (in Russian). [104]. Borel mappings of totally imperfect sets, Bull. Acad. Sci. GSSR, v. 133, n. 3, 1989 (in Russian). [105]. The Baire property and nonmeasurable sets, Bull. Acad. Sci. GSSR, v. 134, n. 3, 1989 (in Russian). [106]. On negligible sets, Math. Inst. Univers. of Wroclaw, Preprint n. 106, Wroclaw, 1989. *[107]. Applications of Set Theory, Izd. Tbil. Gos. Univ., Tbilisi, 1989 (in Russian). [108]. To the existence of statistical estimates for strongly separative families of probability measures, Proceedings of Tbilisi Mathem. Inst. of A.M.Razmadze, v. 92, Tbilisi, 1989. [109]. An application of the Kuratowski-Ulam theorem, Bull. Acad. Sci. GSSR, v. 134, n. 3, part 2, 1989 (in Russian). [110]. Borel measures in metric spaces, Bull. Acad. Sci. GSSR, v. 135, n. 1, 1989 (in Russian). [111]. On some problems of set theory, Bull. Acad. Sci. GSSR, v. 135, n. 2, 1989 (in Russian). [112]. On negligible sets, Bull. Acad. Sci. GSSR, v. 136, n. 1, 1989 (in Russian). [113]. On cardinalities of isodyne topological spaces, Bull. Acad. Sci. 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