s.muxigulaSvilis publikaciebi
monografiebi
1. Some twopoint boundary value problems for second order functional
differential equations (with A. Lomtatidze). Masaryk University, Brno,
2000.
2. Twopoint boundary value problems for second order functional differential
equations. Mem. Differential Equations Math. Phys. 20 (2000),
1112.
samecniero statiebi
3. On periodic solutions of second order functional differential equations
(with A. Lomtatidze). Mem. Differential Equations Math. Phys. 5
(1995), 125126.
4. On a twopoint boundary value problem for second order functional
differential equations. Mem. Differential Equations Math. Phys. 6
(1997), 124126.
5. On a twopoint boundary value problem for second order functional
differential equations, I (with A. Lomtatidze). Mem. Differential Equations
Math. Phys. 10 (1997), 125128.
6. On a twopoint boundary value problem for second order functional differential
equations, II (with A. Lomtatidze). Mem. Differential Equations
Math. Phys. 10(1997), 150152.
7. On twopoint boundary value problems for twodimensional differential
systems with singularities. Georgian Math. J. 10(2003), No.3, 595602.
8. On the unique solvability of the Dirichlet problem for a second order
linear functional differential equation. (Russian) Differentsialnye Uravneniya
40(2004), No.4, 477484; translation in Differ. Equ. 40(2004),
No.4, 515523.
9. On nonlinear boundary value problems for twodimensional differential
systems.(with I. Kiguradze). (Russian) Differentsialnye Uravneniya
40(2004), No.6, 747–755; translation in Differ. Equ. 40(2004), No.6,
797806.
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, 97114.
12. On periodic solutions of twodimensional nonautonomous differential
systems.(with I. Kiguradze). Nonlinear Anal. 60A(2005), No.2, 241
256.
13. On the Solvability of the Dirichlet Problem for Nonlinear SecondOrder
FunctionalDifferential Equations.(with I. Sremr). (Russian) Differentsialnye
Uravneniya 41(2005), No.10, 1353–1362; translation in Differ.
Equ. 41(2005), No.10, 14251435.
14. On A Periodic Boundary Value Problem for Second Order Linear functional
differential equations. Boundary Value Problems 2005(2005),
No.3, 247261.
15. On the Solvability of the Periodic Problem for Nonlinear SecondOrder
FunctionDifferential Equations. (Russian) Differentsialnye Uravneniya
42(2006), No.3, 356–365; translation in Differ. Equ. 42(2006), No.3,
380390.
16. On A twopoint Boundary Value Problem for Second Order Linear
Functional Differential Equations With Monotone Operators.(with I.
Sremr) Funct. Differ. Equ. 13(2006), No.34,519537.
17. On Periodic Solutions of Second Order Functional Differential Equations.
Italian J. of Pure and Appl. Math. (2006) No.20, 2950.
18. On A Periodic Boundary Value Problem For Cyclic Feetback Type Linear
Functional Differential Systems. Archiv der Mathematik, 87(2006),
255260.
19. On A Periodic Boundary Value Problem For 3th Order linear Functional
Differential Equations. Funct. Differ. Equ.(with B.P°uˇza) 14(2007),
347361.
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) 527535.
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), 6775.
23. On A Periodic Boundary Value Problem For Third Order Linear Functional
Differential Equations. Mem. Differential Equations Math.
Phys. (with R. Hakl) 41(2007), 2742.
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), 163165.
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.1112, 12921313.
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, 112.
27. Periodic Boundary Value Problem For Functional Differential Equations
Of Higher Order. (with R. Hakl) Georgian Math. J. Volume 16
(2009), Number 4, 651665.
28. On one problem with nonlinear boundary condition for systems of
functionaldifferential equations.(Russian) Differentsial’nye Uravneniya
(Differential Equations), 46 (2010), No. 1, 113.
29. On periodic solutions of the system of two linear differential equations.
(with I. Kiguradze ) Mem. Differential Equations Math. Phys. 48
(2009), 175182.
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 higherorder differential equations with a deviating
argument. Nonlinear Anal. (with B. P°uˇza and N. Partsvania).
(accepted).
m.svanaZis publikaciebi
monografiebi
1. Boundarycontact Value Problems of the Elasticity Theory, Tbilisi University Press,
Tbilisi, 1980, 88 p. (with D.G.Natroshvili, A.J. Djagmaidze).
2. Fundamental Boundary and Boundarycontact Value Problems of Anisotropic
Elastostatics, Tbilisi University Press, Tbilisi, 1981, 84 p. (with D.G.Natroshvili).
3. Some Problems of the Linear Theory of Elastic Mixtures, Tbilisi University Press,
Tbilisi, 1986, 215 p. (with D.G.Natroshvili, A.J. Djagmaidze).
samecniero statiebi:
1. Potential type integrals on infinite manifolds, Bulletin Acad. Sci. of Georgia, v. 93, No
2, pp. 305308, 1979.
2. Some contact problems for piecewise homogeneous bodies. Proceed. Conference in
the Theory of Elasticity, Ereven, November 1316, 1979, pp. 242245 (with D. G.
Natroshvili, A. J. Djagmaidze).
3. Asymptotic estimates of the potential type integrals on infinite manifolds, Some
Problems of the Theory Elasticity, Tbilisi University Press, Tbilisi, pp.114128, 1980.
4. Dynamical problems of coupled thermoelasticity for piecewise homogeneous bodies,
Proceed. of I.Vekua Inst. of Applied Math., v. 10, pp. 99190, 1981 (with D. G.
Natroshvili).
5. Effective solution of some dynamical problems for anisotropic elastic bodies, Bulletin.
Acad. Sci. of Georgia, v. 104, No 2, pp. 313316, 1981 (with D. G. Natroshvili).
6. Dynamical problems of elasticity and thermoelasticity theory for piecewise
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 piecewise homogeneous isotropic bodies, Proceed.of
I.Vekua Inst. of Applied Math., v. 16, pp. 216255, 1985.
8. Dynamical problems of elasticity theory of twocomponent mixtures, Reports of
Enlarged Sessions of the Seminar of I.Vekua Inst. of Applied Math., v. 2, No 2, pp.
99102, 1986.
9. The fundamental matrix of the linearized equations of the theory of elastic mixtures,
Proceed of I.Vekua Inst. of Applied Math., v. 23, pp. 133148, 1988.
10. Potential methods in the problems of linear theory of elastic mixtures, TeubnerTexte
zur Mathematik, Band 111, pp. 199206, 1989 (with D. G. Natroshvili).
11. Representation of the general solution of the equation of static of linear theory of a
twocomponent elastic mixtures, Reports of Enlarged Sessions of the Seminar of
I.Vekua Inst. of Applied Math., v. 4, No 2, pp. 155158, 1989.
12. Solution of boundary value problems in the linear theory of a twocomponent elastic
mixture, Proceed. of I.Vekua Inst. of Applied Math., v. 39, pp. 218226, 1990.
13. Fundamental solutions of equations of stable oscillation and pseudooscillation of a
twocomponent elastic mixture, Proceed. of I.Vekua Inst. of Applied Math., v. 39, pp.
227240, 1990.
14. Solution of dynamical problems of linear theory of elastic mixture, Reports of
Enlarged Sessions of the Seminar of I.Vekua Inst. of Applied Math., v. 6, No 2,
pp. 140143, 1991.
15. The uniqueness of solutions of stable oscillation of linear theory of a twocomponent
elastic mixture, Bulletin Acad. Sci. of Georgia, v. 145, No 1, pp. 5154, 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.
179190, 1992.
17. The uniqueness of the solution of exterior boundaryvalue problems of stable
oscillation of the linear theory of elastic mixture, Proceed. of I.Vekua Inst. of Applied
Math., v. 46, pp. 191202, 1992.
18. Representation of the general solution of the equation of steady state oscillations of
twocomponent elastic mixtures, Prikladnaia Mechanika (Eng. Tr.: Int. Applied
Mech.), v. 29, No 12, pp. 2229, 1993.
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
Seminar of I.Vekua Inst. of Applied Math., v. 8, No 2, pp. 151154, 1993.
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. 633648, 1996.
23. Threedimensional problems of mathematical theory of elastic mixtures, Thesis of
Dissertation, Tbilisi State University, 1998.
24. On existence of eigenfrequencies in the theory of twocomponent elastic mixtures,
Quart. J. Mech. Appl. Math., v. 51, pl. 3, pp. 427437, 1998.
25. Potential method in the linear theory of binary mixtures for thermoelastic solids, J.
Thermal Stresses, v. 23, No 6, pp. 601626, 2000 (with T. Burchuladze).
26. Boundary value problems of the theory of thermoelasticity with microtemperatures,
PAMMProceedings in Applied Mathematics and Mechanics, v. 3, Issue 1, pp. 188
189, 2003.
27. Steady oscillation problems in the theory of thermoelasticity with microtemperatures,
Proceedings of the 5th International Congress on Thermal Stresses and
Related Topics, Blacksburg, VA, v. 2, pp. TA 911914, 2003.
28. Fundamental solutions of the equations of the theory of thermoelasticity with
microtemperatures, J. Thermal Stresses, v. 27, No 2, pp. 151170, 2004.
29. Fundamental solutions in the theory of micromorphic elastic solids with
microtemperatures, J. Thermal Stresses, v. 27, No 4, pp. 345366, 2004.
30. Fundamental solution of the system of equations of steady oscillations in the theory
of fluidsaturated porous media, Transport in Porous Media, v. 56, No 1, pp. 3950,
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 1718, pp. 18971910,
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 56, pp. 417431,
2005 (with S. De Cicco).
33. Fundamental solution in the theory of consolidation with double porosity, Journal of
the Mechanical Behavior of Materials, v. 16, No 12, 123130, 2005.
34. Steady oscillation problems in the theory of thermomicrostretch elastic solids,
Proceedings of the 6th International Congress on Thermal Stresses. Vienna, Austria,
May 2629, 2005, Vol. 1, 189192.
35. On the representations of solutions in the theory of fluidsaturated porous media,
Quart. J. Mech. Appl. Math., v. 58, No 4, pp. 551562, 2005 (with R. de Boer).
36. Fundamental solution in the theory of micropolar thermoelasticity without energy
dissipation, J. Thermal Stresses, v. 29, pp. 5766, 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. 524529, 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. 849864, 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. 4963, 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. 213229, 2007 (with M. Ciarletta, A.
Scalia).
42. Fundamental solution in the linear theory of thermoviscoelastic mixtures, European
J. Appl. Math., v. 18, pp. 323335, 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. 15601568,
2007 (with V. Zampoli, P. Giordano).
44. Potential method in the theory of thermoelasticity of binary mixtures, Proceedings of
the 7th International Congress on Thermal Stresses, 47 June, 2007, Taipei, Taiwan,
pp. 273 276.
45. Boundary value problems in the theory of binary mixtures, PAMMProceedings in
Applied Mathematics and Mechanics, v. 7, Issue 1, pp. 4060061 4060062, 2007.
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. 554559, 2008.
47. Plane waves and eigenfrequencies in the linear theory of binary mixtures of
thermoelastic solids, J. Elasticity, v. 92, pp. 195207, 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 twotemperature theory of thermoelasticity of binary
mixtures, In: Z. Kotulski, P. Kowalczyk, W. Sosnowski (Eds.), Selected Topics of
Contemporary Solid Mechanics, Proceedings of the 36th Solids Mechanics
InternationalConference, September 912, 2008, Gdansk (Poland), pp. 244245,
2008.
50. Boundary value problems in the theory of binary mixtures of thermoelastic solids,
PAMMProceedings in Applied Mathematics and Mechanics, v. 8, Issue 1, pp.
1046910470, 2008.
51. Plane waves and vibrations in the micropolar thermoelastic materials with voids,
European J. Mech., A/ Solids, v. 28, pp. 897 – 903, 2009 (with M. Ciarletta and L.
Buonano) .
52. Fundamental Solution in the Theory of viscoelastic Mixtures, Journal of Mechanics
of Materials and Structures, vol. 4, No 1, pp. 139  156, 2009 (with S. De Cicco).
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
Thermal Stresses, 14 June, 2009, Urbana, USA, v. II, pp. 475  478, 2009.
55. On the linear theory of thermoelasticity with microtemperatures, Proceedings of the
8th International Congress on Thermal Stresses, 14 June, 2009, Urbana, USA, v. II,
pp. 465  468, 2009 (with A. Scalia).
56. Basic theorems in the equilibrium theory of thermoelasticity with microtemperatures.
J. Thermal Stresses, vol. 33, 2010 (with A. Scalia and R. Tracinà) (in press).
a.xaraziSvilis publikaciebi
[1]. Dispositions on a straight line, on a plane and in a space, Metsniereba
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,
538540 (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, 1720 (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 rtsets 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 fourdimensional 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 threedimensional polyhedra,
Bull. Acad. Sci. GSSR, v. 91, n. 1, 1978 (in Russian).
[40]. On the number of metrically transitive measures defined on the given
sigmaalgebra, 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 BanachTarski 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 threedimensional 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 SzpilrajnMarczewski 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 quasiinvariant 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 Gmeasures 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_nitedimensional Banach
spaces, Bull. Acad. Sci. GSSR, v. 104, n. 3, 1981 (in Russian).
[68]. The absolute nonmeasurability of the unit ball in an in_nitedimensional
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 quasiinvariant 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 quasiinvariant 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 sigmaalgebras, Ukrain. Mathem. Journ., v. 37, n. 2, 1985 (in
Russian).
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[247]. On some families of convex functions, Workshop: Variable Exponent
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[255]. On the existence of __nite nonseparable invariant measures on un
countable groups, International Conference: Stochastic Analysis and Random
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[262]. Piecewise a_ne approximations of continuous functions of several
variables and Gale polyhedra, Proc. A. Razmadze Math. Institute, v. 152,
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respect to invariant extensions of the Lebesgue measure, Acta Universitatis Car
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