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s.muxigulaSvilis publikaciebi
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.
samecniero statiebi


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

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. 305-308, 1979.

2. Some contact problems for piece-wise homogeneous bodies. Proceed. Conference in

the Theory of Elasticity, Ereven, November 13-16, 1979, pp. 242-245 (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.114-128, 1980.

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.

Acad. Sci. of Georgia, v. 104, No 2, pp. 313-316, 1981 (with D. G. Natroshvili).

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

I.Vekua Inst. of Applied Math., v. 16, pp. 216-255, 1985.

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,

Proceed of I.Vekua Inst. of Applied Math., v. 23, pp. 133-148, 1988.

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

I.Vekua Inst. of Applied Math., v. 4, No 2, pp. 155-158, 1989.

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

Enlarged Sessions of the Seminar of I.Vekua Inst. of Applied Math., v. 6, No 2,

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

Math., v. 46, pp. 191-202, 1992.

18. Representation of the general solution of the equation of steady state oscillations of

two-component elastic mixtures, Prikladnaia Mechanika (Eng. Tr.: Int. Applied

Mech.), v. 29, No 12, pp. 22-29, 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. 151-154, 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. 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,

Proceedings of the 5th International Congress on Thermal Stresses and

Related Topics, Blacksburg, VA, v. 2, pp. TA 911-914, 2003.

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

the Mechanical Behavior of Materials, v. 16, No 1-2, 123-130, 2005.

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,

Quart. J. Mech. Appl. Math., v. 58, No 4, pp. 551-562, 2005 (with R. de Boer).

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

the 7th International Congress on Thermal Stresses, 4-7 June, 2007, Taipei, Taiwan,

pp. 273- 276.

45. Boundary value problems in the theory of binary mixtures, PAMM-Proceedings 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. 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

Contemporary Solid Mechanics, Proceedings of the 36th Solids Mechanics

InternationalConference, September 9-12, 2008, Gdansk (Poland), pp. 244-245,

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,

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, 1-4 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, 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.

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,

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).

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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).

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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

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[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.

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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. GSSR,

v. 137, n. 1, 1990 (in Russian).

[114]. Martin's axiom and ��-selectors, Bull. Acad. Sci. GSSR, v. 137, n. 2,

1990 (in Russian).

[115]. On some problems connected with Lebesgue measure and Baire prop-

erty, Bull. Acad. Sci. GSSR, v. 137, n. 3, 1990 (in Russian).

[116]. Luzin spaces and Bernstein sets, Bull. Acad. Sci. GSSR, v. 138, n.

1, 1990 (in Russian).

*[117]. Selected Topics in General Topology, Izd. Tbil. Gos. Univ., Tbilisi,

1990 (in Russian).

[118]. On the existence of sets without the Baire property, Bull. Acad. Sci.

GSSR, v. 138, n. 3, 1990 (in Russian).

[119]. On a problem of uniformization of sets, Bull. Acad. Sci. GSSR, v.

140, n. 2, 1990 (in Russian).

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Tbilisi, 1991, (in Russian).

[121]. On some topological realizations of in_nite graphs, Bull. Acad. Sci.

Georgia, v. 142, n. 3, 1991 (in Russian).

[122]. On the Baire property and bases of ideals of first category sets, Bull.

Acad. Sci. Georgia, v. 143, n. 2, 1991 (in Russian).

[123]. Some problems in measure theory, Colloq. Mathem., v. 62, 1991.

[124]. On selectors associated with some subgroups of the real line, Bull.

Acad. Sci. Georgia, v. 144, n. 2, 1991 (with J.Cichon and B.Weglorz).

[125]. A note on Luzin sets and Sierpinski sets, Bull. Acad. Sci. Georgia,

v. 143, n. 3, 1991 (in Russian).

[126]. Problems and Examples from Elementary Mathematics, Tbilisi, 1992

(in Georgian, co-authors: G.Jaiani and others).

[127]. On translations of measurable sets and of sets with the Baire property,

Bull. Acad. Sci. Georgia, v. 145, n. 1, 1992 (in Russian, with W.Wilczynski).

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tute of Applied Mathematics, vol. 43, 1992, 120 pp. (in Russian).

[129]. Measurable spaces with ideals and selectors, Bull. Acad. Sci. Georgia,

v. 147, n. 1, 1993 (in Russian).

[130]. On sets of Vitali's type, Proc. Amer. Math. Soc., v. 118, n. 4, 1993,

1221{1228 (with J.Cicho_n and B.Weglorz).

[131]. On the sections of analytic sets, Bull. Acad. Sci. Georgia, v. 147, n.

2, 1993, 223-226 (in Russian).

[132]. ��-topology and the Baire property, Bull. Acad. Sci. Georgia, v. 148,

n. 1, 1993 (in Russian).

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v. LXVII, n. 1, 1994, 123-129.

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Bull. Acad. Sci. Georgia, v. 149, n. 1, 1994 (in Russian).

[135]. On the principle of condensation of singularities, Bull. Acad. Sci.

Georgia, v. 149, n. 2, 1994 (in Russian).

[136]. Some remarks on density points and the uniqueness property for in-

variant extensions of the Lebesgue measure, Acta Universitatis Carolinae - Math-

ematica et Physica, vol. 35, no. 2, 1994, pp. 33 - 39.

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no. 5, 1994, pp. 479-486.

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Real Analysis Exchange, vol. 20, no. 2, 1994-1995, pp. 580-592.

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Journal, vol. 2, no. 1, 1995, pp. 45 - 53.

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Silesianae, 9, 1995, pp. 33{41.

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matica, Lodz, 7, 1995, pp. 41{50.

[143]. Small sets in uncountable abelian groups, Folia Mathematica, Lodz,

7, 1995, pp. 31{39.

[144]. On density topologies generated by ideals, Folia Mathematica, Lodz,

7, 1995, pp. 51-62, (with J.Hejduk).

[145]. On translations of sets and functions, Journal of Applied Analysis, 1,

n. 2, 1995, 145-158.

[146]. On density points with respect to von Neumann's topology, Real Anal-

ysis Exchange, vol. 21, no. 1, 1995-1996 (with J.Hejduk).

[147]. Some remarks on additive properties of invariant ideals on the real

line, Real Analysis Exchange, vol. 21, no. 2, 1995{1996.

[148]. On the Steinhaus property for invariant measures, Real Analysis Ex-

change, vol. 21, no. 2, 1995-1996.

[149]. Some partitions consisting of Jordan curves, Georgian Mathematical

Journal, vol. 3, no. 3, 1996, pp. 233 - 238.

[150]. A note on the Sierpinski partition, Journal of Applied Analysis, vol.

2, no. 1, 1996, pp. 41 - 48.

[151]. On nonmeasurable subgroups of the real line, Journal of Applied Anal-

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[153]. On almost rigid mathematical structures, Folia Mathematica, Lodz,

9, 1997, pp. 41-58.

[154]. On Vitali construction for commutative groups with quasiinvariant

measures, Folia Mathematica, Lodz, 9, 1997, pp. 59-69.

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9, 1997, pp. 27-39.

[156]. On selectors nonmeasurable with respect to quasiinvariant measures,

Real Analysis Exchange, vol. 22, no. 1, 1996 - 1997.

[157]. On some subsets of spaces equipped with transformation groups, Real

Analysis Exchange, vol. 22, no. 2, 1996 - 1997.

[158]. On the uniqueness of Lebesgue and Borel measures, Journal of Applied

Analysis, vol. 3, no. 1, 1997.

[159]. Sup-measurable and weakly sup-measurable mappings in the theory of

ordinary di_erential equations, Journal of Applied Analysis, vol. 3, no. 2, 1997.

[160]. On countably generated invariant _-algebras which do not admit mea-

sure type functionals, Real Analysis Exchange, vol. 23, no. 1, 1997 - 1998.

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Publishers, Dordrecht, 1998, 244 pp.

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[163]. On uncountable unions and intersections of measurable sets, Geor-

gian Mathematical Journal, vol. 6, no. 3, 1999, pp. 201 - 212 (co-author M.

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of the two-dimensional Lebesgue measure, Georgian Mathematical Journal, vol.

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of Mathematics, vol. 25, no. 4, 1999, pp. 401 - 410.

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[173]. Completely additive set function, Ver. i Mat. Stat., Moscow, 1999 (in

Russian).

[174]. Signed measure, Ver. i Mat. Stat., Moscow, 1999 (in Russian, co-

author: A.A. Borovkov).

[175]. Measurable function, Ver. i Mat. Stat., Moscow, 1999 (in Russian).

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Stat., Moscow, 1999 (in Russian).

[178]. Finitely additive set function, Ver. i Mat. Stat., Moscow, 1999 (in

Russian).

[179]. Measure, Ver. i Mat. Stat., Moscow, 1999 (in Russian).

[180]. Monotone class of sets, Ver. i Mat. Stat., Moscow, 1999 (in Russian).

[181]. Extension of measures, Ver. i Mat. Stat., Moscow, 1999 (in Russian).

[182]. Projective systems of measures, Ver. i Mat. Stat., 1999 (in Russian).

[183]. Product measure, Ver. i Mat. Stat., Moscow, 1999 (in Russian).

[184]. Measure space, Ver. i Mat. Stat., Moscow, 1999 (in Russian).

[185]. Prokhorov criterion, Ver. i Mat. Stat., Moscow, 1999 (in Russian).

10

[186]. Radon-Nikodym theorem, Ver. i Mat. Stat., Moscow, 1999 (in Rus-



sian).

[187]. Singular component of a measure, Ver. i Mat. Stat., Moscow, 1999

(in Russian).

[188]. Singularity of measures, Ver. i Mat. Stat., Moscow, 1999 (in Russian).

[189]. Countably additive set function, Ver. i Mat. Stat., Moscow, 1999 (in

Russian).

[190]. Hahn theorem on a signed measure, Ver. i Mat. Stat., Moscow, 1999

(in Russian).

[191]. Cylindrical sigma-algebra, Ver. i Mat. Stat., Moscow, 1999 (in Rus-

sian).


[192]. Equivalent measures, Ver. i Mat. Stat., Moscow, 1999 (in Russian).

[193]. Elementary measure, Ver. i Mat. Stat., Moscow, 1999 (in Russian).

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2000.


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Kluwer Academic Publishers, Dordrecht, 2000 (co-author V.V. Buldygin).

[196]. A Collection of Problems in Elementary Mathematics, (co-authors:

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Applied Analysis, vol. 6, no. 1, 2000, pp. 77 - 85.

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groups, Real Analysis Exchange, vol. 25, no.2, 1999 - 2000, pp. 931 - 936.

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ysis Exchange, 24-th Summer Symposium Conference Reports, May 2000, pp.

143 - 145.

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Real Analysis Exchange, vol. 27, no. 1, 2001 - 2002.

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vol. 8, no. 3, 2001, pp.493 - 498.

[202]. Geometric aspects of the principle of a decreasing sequence of seg-

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Georgian).

[203]. The _rst Georgian mathematical olympiad in the XXI-th century, (co-

authors: T.Djangveladze, N.Mchedlishvili, A.Kirtadze), Tbilisi, 2001, pp. 150

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[204]. On measurability properties connected with the superposition operator,

Real Analysis Exchange, vol. 28, no. 1, 2002 - 2003, pp. 205-214.

[205]. On the uniqueness property for products of symmetric invariant prob-

ability measures, Georgian Mathematical Journal, vol. 9, no. 1, 2002, pp. 75 -

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[206]. A note on convexly independent subsets of an in_nite set of points,

Georgian Mathematical Journal, vol. 9, no. 2, 2002, pp. 303 - 307.

[207]. On ideals with projective bases, (co-author: J.Cicho_n), Georgian Math-

ematical Journal, vol. 9, no. 3, 2002, pp 461 - 472.

[208]. The _nal of the pupils mathematical olympiad (2001-2002 academic

year), (co-author: T.Djangveladze), Physics and Mathematics at School, vol.

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[209]. On maximal ot-subsets of the Euclidean plane, Georgian Mathematical

Journal, vol. 10, no. 1, 2003, pp. 127 - 131.

[210]. Extending quasi-invariant measures by using subgroups of a given

group, Georgian Mathematical Journal, vol. 10, no. 2, 2003, pp. 247 - 255.

[211]. On faces of convex polyhedra in R3 with a small number of sides,

Georgian Mathematical Journal, vol. 10, no. 4, 2003.

[212]. Some applications of graph theory, Bulletin TICMI, vol. 7, 2003, pp.

31 - 32.

[213]. On homogeneous coverings of Euclidean spaces, Georgian Mathemat-

ical Journal, vol. 11, no. 1, 2004, pp. 105 - 109.

[214]. Homogeneous coverings of the plane by circumferences, Physics and

Mathematics at School, vol. 120, 2004, pp. 47 - 50 (in Georgian).

[215]. On absolutely nonmeasurable additive functions, Georgian Mathemat-

ical Journal, vol. 11, no. 2, 2004, pp. 301 - 306.

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Studies, Elsevier Publishing Co., Amsterdam, 2004, 330 p.

[217]. On negligible and absolutely nonmeasurable subsets of the Euclidean

plane, Georgian Mathematical Journal, vol. 11, no. 3, 2004.

[218]. On algebraic sums of measure zero sets in uncountable commutative

groups, Proc. A. Razmadze Math. Institute, vol. 135, 2004, pp. 97 - 103

(co-author: A. Kirtadze).

[219]. On algebraic sums of absolutely negligible sets, Proc. A. Razmadze

Math. Insitute, vol. 136, 2004, pp. 55 - 61 (co-author: A.Kirtadze).

[220]. On the measurability of functions with respect to certain classes of

measures, Georgian Mathematical Journal, vol. 11, no. 3, 2004, pp. 489 - 494

(co-author: A.Kirtadze).

[221]. On generalized step-functions and superposition operators, Georgian

Mathematical Journal, vol. 11, no. 4, 2004, pp. 753 - 758.

[222]. On absolutely negligible sets in uncountable solvable groups, Georgian

Mathematical Journal, vol. 12, no. 2, 2005.

[223]. The algebraic sum of two absolutely negligible sets can be an absolutely

nonmeasurable set, Georgian Mathematical Journal, vol. 12, no. 3, 2005, pp.

[224]. On discrete mathematics, Physics and Mathematics at School, vol.

121, 2005, pp. 58-64 (in Georgian, co-author A. Kipiani).

[225]. On mutually coherent enumerations of countable sets, Georgian Math-

ematical Journal, vol. 12, no. 4, 2005, pp. 671 - 678.

[226]. Nonmeasurable vector sums of measure zero sets, International Con-

ference: Modern Problems and New Trends in Probability Theory, Abstracts,

Chernivtsi, Ukraine, June 19 - 26, 2005, pp. 121 - 122.

[227]. Nonseparable left-invariant measures on uncountable solvable groups,

Proc. A.Razmadze Math. Institute, vol. 139, 2005 (co-author A. Kirtadze).

*[228]. Strange Functions in Real Analysis, Second Edition, Chapman and

Hall/CRC, Taylor & Francis Books, Boca Raton - New York - London -Singapore,

2006, 430 p.

[229]. On some mutual positions of hyperplanes in a _nite-dimensional a_ne

space, Georgian Mathematical Journal, vol. 13, no. 1, 2006.

[230]. On additive absolutely nonmeasurable Sierpinski-Zygmund functions,

Real Analysis Exchange, vol. 31, no. 2, 2005-2006.

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Analysis, vol. 12, no. 2, 2006, pp. 283-292.

[232]. On decompositions of a cube into cubes and simplexes, Georgian Math-

ematical Journal, vol. 13, no. 2, 2006.

[233]. On the measurability of additive functionals, Georgian Mathematical

Journal, vol. 14, no. 1, 2007, pp. 135-143.

[234]. On weakly metrically transitive measures and nonmeasurable sets, Real

Analysis Exchange, vol. 32, no. 2, 2007, pp. 553-562. (co-author A. Kirtadze).

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Mathematical Journal, vol. 14, no. 3, 2007 (co-author A. Kirtadze).

[236]. On extensions of partial functions, Expositiones Mathematicae, vol.

25, issue 4, 2007, pp. 345-353 (co-author A. Kirtadze).

[237]. Some aspects of the measure extension problem, Proc. A. Razmadze

Math. Inst., vol. 143, 2007, pp. 73-78.

[238]. The absolute nonmeasurability of Minkowski's sum of certain univer-

sal measure zero sets in a topological vector space, International Conference:

Skorokhod Space. 50 Years On; Abstracts, Kiev, Ukraine, June 17-23, 2007.

[239]. Mathematical Sketches, Part 1, I. Chavchavadze State University

Press, Tbilisi, 2007 (in Georgian).

[240]. Ergodic components and nonseparable extensions of invariant mea-

sures, Proc. A. Razmadze Math. Institute, vol. 145, 2007.

[241]. Some combinatorial properties of _nite line-systems in the Euclidean

plane, Georgian Mathematical Journal, vol. 14, no. 4, 2007.

2008

[242]. On measurability of algebraic sums of small sets, Studia Scientiarum



Mathematicarum Hungarica, vol. 45, no. 3, 2008 (co-author A. Kirtadze).

[243]. A nonseparable extension of the Lebesgue measure without new nullsets,

Real Analysis Exchange, vol. 33, no. 1, 2008.

[244]. On absolutely nonmeasurable sets and functions, Georgian Mathemat-

ical Journal, vol. 15, no. 2, 2008, pp. 317-325.

[245]. Combinatorial properties of families of sets and Euler-Venn diagrams,

Proc. A. Razmadze Math. Inst., vol. 146, 2008 (co-author T. Tetunashvili).

[246]. On bad descriptive structure of Minkowski's sum of certain small sets

in a topological vector space, Theory of Stochastic Processes, vol. 14 (30), issue

2, 2008.


[247]. On some families of convex functions, Workshop: Variable Exponent

Analysis and Related Topics, 2-5 September, 2008, Tbilisi, Georgia

http://haota.ualg.pt/vea/workshops.html

[248]. On some combinatorial problems concerning geometrical realizations

of _nite and in_nite families of sets, Georgian Mathematical Journal, vol. 15,

no. 4, 2008, pp. 665-675 (co-author T. Tetunashvili).

*[249]. The Beginnings of Set Theory, Part 1, I. Chavchavadze State Uni-

versity Press, Tbilisi, 2008 (in Georgian).

[250]. Some properties of step-functions connected with extensions of mea-

sures, Acta Universitatis Carolinae, Phys.-Math. Series, v. 49, n. 2, 2008.

[251]. Metrical transitivity and nonseparable extensions of invariant mea-

sures, Taiwanese Journal of Mathematics, vol. 13, no. 3, 2009.

[252]. On sums of real-valued functions with extremely thick graphs, Exposi-

tiones Mathematicae, vol. 27, no. 2, 2009, pp. 161-169.

[253]. Almost measurable real-valued functions and extensions of the Lebesgue

measure, Proc. A. Razmadze Math. Institute, vol. 150, 2009, pp. 135-138.

[254]. On nonmeasurable functions of two variables and iterated integrals,

Georgian Mathematical Journal, v. 16, n. 4, 2009.

[255]. On the existence of _-_nite non-separable invariant measures on un-

countable groups, International Conference: Stochastic Analysis and Random

Dynamics, Abstracts, June 14-20, 2009, Lviv, Ukraine.

[256]. On thick subgroups of uncountable _-compact locally compact com-

mutative groups, Topology and its Applications, vol. 156, issue 14, 2009, pp.

2364-2369.

[257]. Finite families of negligible sets and invariant extensions of the Lebesgue

measure, Proc. A. Razmadze Math. Inst., vol. 151, 2009, pp. 119-123.

[258]. On sets with homogeneous linear sections, Proc. A. Razmadze Math.

Institute, vol. 151, 2009, pp. 124-128.

*[259]. Topics in Measure Theory and Real Analysis, Atlantis Press and

World Scienti_c, Amsterdam-Paris, 2009, 470 p.

[260]. On some coverings of the Euclidean plane with pairwise congruent cir-

cles, The Amer. Math. Monthly, n. 5, 2010, (co-author: T. Sh. Tetunashvili).

[261]. On almost measurable real-valued functions, Studia Scientiarum Math-

ematicarum Hungarica, 2010.

[262]. Piecewise a_ne approximations of continuous functions of several

variables and Gale polyhedra, Proc. A. Razmadze Math. Institute, v. 152,

2010.

[263]. Some combinatorial problems on the measurability of functions with



respect to invariant extensions of the Lebesgue measure, Acta Universitatis Car-

olinae, Phys.-Math. Ser., 2010.


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