*Publications*

**
Basheleishvili M.**

1.
Boundary value problems of oscillation of an elastic body. *Candidates
thesis,* TSU, 1953, pp. 1-11
(Russian).

2. New integral equations
of the anisotropic theory of elasticity*. Bulletin of the Academy of Sciences
of the Georgian SSR*, v.15, N 6, 1954, pp. 407-414 (with Kupradze V.)
(Russian).

3. New integral equations
of the anisotropic theory of elasticity and their application to the solution of
boundary value problems*. Bulletin of the Academy of Sciences of the Georgian
SSR*, v.15, N 7, 1954, pp. 495-502 (with Kupradze V.) (Russian).

4. Solution of the first
basic static problem of an orthotropic elastic body for multiplies connected
domains*. Bulletin of the **
Academy of Sciences of the Georgian
SSR,* v.16, N 8, 1955,
pp. 557-582 (Russian).

5. On fundamental
solutions of differential equations of an anisotropic elastic body. *Bulletin of the *
*Academy of Sciences of
the Georgian SSR*, v. 19,
N 4, 1957, pp. 393-400.

6. Analogue of Poisson’s
formula in the theory of elasticity. *Proceedings of the Computation Centre of
the **Academy of
Sciences of the Georgian SSR*.
v. 1, 1960, pp. 97-101 (Russian).

7. The effective solution
of some basic boundary value problems of statics of an orthotropic elastic body
by the method of integral equation. *Proceedings of the Computation Centre of
the **Academy of
Sciences of the Georgian SSR*,
v. 2, 1962, pp. 99-121 (Russian).

8. The effective solution of
basic problems of an anisotropic elastic body for an elliptic and for an
infinite plane with an elliptic hole. *Proceeding of the Tbilisi Mathematics
Institute of the **
Academy of Sciences of the Georgian SSR*,
v. 28, 1962, pp. 3-20 (Russian).

9. Solution of the basic spatial
boundary value problems for an isotropic elastic body bounded by several
surfaces. *Proceedings of the Computation Centre of the Academy of Sciences of
the Georgian SSR*, v. 4, 1963, pp.131-139 (Russian).

10. Solution of the plane boundary
value problems of statics for an isotropic elastic body. *Proceedings of the
Computation Centre of the **
Academy of Sciences of the Georgian
SSR, *v. 3, 1963, pp.
93-139 (Russian).

11. Analogue of Dini’s
formula in the theory of elasticity. *Proceedings of the Computation Centre of
the **Academy of
Sciences of the Georgian SSR*,
v. 4, 1963, 121-129 (Russian).

12. A method of investigation of
some plane boundary value problems of an anisotropic elastic body multiply
connected domains. *Proceedings of the Computation Centre of the Academy of
Sciences of the Georgian SSR*, v 4, 1963, pp.141-166 (Russian).

13. A method of solution
of the third and the fourth static problems for an anisotropic elastic body. *
Bulletin of the **
Academy of Sciences of the Georgian SSR*,
v. 34, N 2, 1964, pp. 283-290 (Russian).

14. Solution of the basic plane
boundary value problems for piece-homogeneous anisotropic elastic media by the
method of Fredholm’s integral equation. *Proceeding of the Georgian
Polytechnical Institute*, N 2(100), 1965, pp. 3-11 (Russian).

15. Basic plane boundary value
problems for non-homogeneous anisotropic elastic bodies. *Proceeding of the
**Tbilisi University*,
v. 117, 1966, pp. 279-293 (Russian).

16. Solution of basic
boundary value problems of statics for the orthotropic elastic half-space. *
Proceeding of the **
Tbilisi University*, v.
119, 1968, pp. 47-55 (Russian).

17. On the basic spatial
boundary value problems for composite elastic media. *Reports of the *
*Academy of Sciences of
the USSR*, v. 160, N 1,
1965, pp. 50-53 (with Gegelia T.) (Russian).

18. Three-Dimensional Problems of the Mathematical Theory of Elasticity. Tbilisi University Press, 1968, 628 p. (with Kupredze V., Gegelia T., Burchuladze T.) (Russian).

19. Solution of plane
boundary value problems of statics of the couple-stress theory. *Bulletin of
the **Academy of
Sciences of the Georgian SSR*,
v. 56, N 1, 1969, pp. 42-44 (Russian).

20. On one case of
generalization of the Liapunov-Tauber theorem in the theory of elasticity. *
Bulletin of the **
Academy of Sciences of the Georgian SSR*,
v. 61, N 3, 1971, pp. 553-556 (Russian).

21. Some boundary value
problems of the couple stress theory*. Seminar of Institute of Applied
Mathematics, Abstracts of papers*, v. 2, 1970, pp. 43-47 (with Gegelia T.,
Maisaia O.) (Russian).

22. The effective solution
of the basic boundary value problems of elasticity and outside the n-
dimensional sphere*. Bulletin of the **
Academy of Sciences of the Georgian
SSR, *v. 63, N 3, 1971,
pp. 553-556 (Russian).

23. Investigation of the
third and fourth three-dimensional boundary value problems of statics of an
isotropic elastic body*. Proceeding of the Institute of Applied Mathematics of
**Tbilisi University,
*v. 3, 1972, pp. 29-67
(Russian).

24. On one version of the
solution of the third and fourth three-dimensional boundary value problems of
statics of an isotropic elastic body. *Seminar of the Institute of Applied
Mathematics of **
Tbilisi University, Abstracts of Papers, *
v. 7, 1973, pp. 59-73 (Russian).

25. General representation
of solutions of equations of statics of a transversally isotropic elastic body
and some of their applications. *Bulletin of the **
Academy of Sciences of the Georgian
SSR, *v. 76, N 3, 1974,
pp. 565-568 (Russian).

26. On the differential
properties of potentials of a transversally isotropic elastic body. *Bulletin
of the **Academy of
Sciences of the Georgian SSR*,
v. 82, N 2, 1976, pp. 325-328 (Russian).

27. Existence theorems of
solutions to the basic boundary value problems of elasticity for transversally
isotropic body. *Reports of the **
Academy of Sciences of the USSR,
*v. 231, N 1, 1976, pp.
53-56 (Russian).

28. On some boundary
contact problems for a homogeneous multiplayer transversally isotropic infinite
plate. *Bulletin of the **
Academy of Sciences of the Georgian
SSR*, v. 86, N 3, 1977,
pp. 581-584 (Russian).

29. Some boundary contact
value problems for a multiplayer transversally isotropic plate and a
half-spaces. *Proceeding of the Applied Mathematics*, v. 5-6, 1978, pp.
7-16 (Russian).

30. Dynamical problems of
the theory of elasticity for homogeneous anisotropic media. *Proceeding of the
**Tbilisi University*,
v. 204, 1978, pp. 29-46 (with Natroshvili D.) (Russian).

31. The
effective solution of some boundary contact problems of statics for composite
isotropic body. *Proceeding of the **
Tbilisi University*,
v. 204, 1978, pp. 47-64 (with Giorgashvili L., Zazashvili Sh.) (Russian).

32. Three-Dimensional Problems of
the Mathematical Theory of Elasticity and Thermoelasticity. *Series in Applied
Mathematics and Mechanics*, v. 25, 1979, 930 p., North Holland (with Kupradze
V., Gegelia T., Burchuladze T.).

33. Contact value problems between two layers of different materials. Some Basic Problems of the Theory of Elasticity. Tbilisi University Press, 1980, pp. 3-21 (with Bitsadze L.) (Russian).

34. Some
representation of solutions of equations of the elasticity theory. *Bulletin
of the Academy of Sciences of the Georgian SSR*, v.102, N 3, 1981, pp.
569-571 (Russian).

35. The effective solution of basic
boundary value problems of the elasticity theory for a space. *Bulletin of
the **Academy of
Sciences of the Georgian SSR*,
v. 108, N 1, 1982, pp. 41-44 (with Tsagareli I.) (Russian).

36. On a new
version of solving the third and fourth boundary value problems of statics of an
anisotropic elastic body. *Proceedings of I.Vekua **
Institute of Applied Mathematics,
*v.12, 1983, pp. 5-23
(Russian).

37. The
solution of some contact problems of statics for a ball. *Proceedings of
I.Vekua Institute of Applied Mathematics*, v.12, 1983, pp. 24-29 (with
Tsagareli I.) (Russian).

38. On some boundary-contact
problems of the theory of elasticity*. Proceedings of **
Tbilisi University. *
v. 257, 1985, pp. 163-188
(Russian).

39. Some connections between the
coefficients of the anisotropic theory of elasticity. *Proceedings of I.Vekua
Institute of Applied Mathematics*, v. 23, pp. 5-15 (Russian).

40. The second plane
generalized boundary value problems of the anisotropic elastostatics. *
Proceedings of I.Vekua Institute of Applied Mathematics*, v. 23, pp. 16-36
(Russian*)*.

41. The Cauche Riemann
generalized condition in the two-dimensional theory of elasticity and some of
their applications. *Seminar of I.Vekua Institute of Applied Mathematics*,
v. 21, 1990, pp. 9-15 (Russian).

42. The Hilbert
Generalized boundary value problems of an infinite anisotropic plane with an
elliptic hole. *Proceedings of I.Vekua Institute of Applied Mathematics*,
v. 39, 1990, pp. 5-12 (Russian).

43. The solution of basic contact
problems for a non-homogeneous anisotropic plane. *Proceedings of I.Vekua
Institute of Applied Mathematics*, v. 39, 1990, pp. 13-26 (Russian).

44. On the solution of basic
boundary value problem of statics for the anisotropic strip. *Proceedengs of
I.Vekua Institute of Applied Mathematics*, v. 46, 1992, pp. 5-16 (Russian).

45. On the solution of Dirichlet
and Neumann problems in the confocal elliptic ring. *Proceedengs of I.Vekua
Institute of Applied Mathematics*, v. 46, 1992, pp. 17-23 (Russian).

46. Mixed boundary value
problems for anisotropic plane with elliptic hole. *Proceeding of I.Vekua
Institute of Applied Mathematics,* v. 46, 1992, 24-30 (with Zazashvili Sh.)
(Russian).

47. On one plane problem
of an anisotropic elastic body. *Reports of enlarged session of the seminar of
I.Vekua **Institute of
Applied Mathematics*, v.
3, N 2, 1993, pp. 12-16 (Russian).

48. A generalized plane mixed
boundary value problem for the anisotropic elastic body. *Reports of enlarged
session of the seminar of I.Vekua Institute of Applied Mathematics*, v. 3, N
2, 1993, 17-20 (with Zazashvili Sh.) (Russian).

49. Two-dimensional boundary value problems of statics of the theory of elastic mixtures.

50. Analogues of the
Kolosov-Muskhelishvili general representation formulas and Cauchey-Riemann
conditions in the theory of elastic mixtures. *Georgian Mathematical Journal*,
v. 4, N 3, 1997, pp. 223-242.

51.
Application of analogues of general Kolosov-Muskhelishvili representation in the
theory of elastic mixtures. *Georgian Mathematical Journal,* v. 6, N 1,
1999, pp. 1-18.

52. The basic
mixed problem for an anissotropic elastic body. *Georgian Mathematical
Journal, *v. 6, N 5, 1999, pp. 233-250 (with Zazashvili Sh.).

53. The three-dimensional
problem of static mixture theory with displacements given of the boundary.*
Georgian Mathematical Journal,* v. 6, N 6, 1999, pp. 517-524.

54. The basic mixed plane BVP of
statics in the elastic mixture theory.* Georgian Mathematical Journal,* v.
7, N 3, 2000, pp. 427-440 (with Zazashvili Sh.).

55. Solutions of the basic
BVPs of elastic mixtures for the interior and exterior domains*. Seminar of
I. Vekua Institute of Applied Math*., v.14, N 3, 1999, pp. 3-6.

56. A new method of
solving the basic plane BVP of statics of the elastic mixture theory. *
Georgian Mathematical Journal,* v. 8, N 2, 2001 (with Svanadze K.).

57. Explicit solutions of the basic
boundary value problems of statics of the elastic mixture theory for an annulus.
*Georgian Mathematical Journal,* v. 11, N 1, 2004, pp. 49-58.

58. Solution of transmission and boundary-transmision problems of statics of
elastic mixtures for piese wise homogeneous bodies. *Memoirs Differential
Equations and Mathematical Physics*. v. 32, pp. 1-28 (with Svanadze K.).