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.).