Main Publications

  1. On the asymptotic distribution of oscillation eigenfunctions of an elastic body. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 15 (1954), No. 4, 193-200.
  2. To the theory of boundary value problems of oscillation for an elastic body. (Russian) Trudy Tbiliss. Univ. 64 (1957), 215-240.
  3. On fundamental solutions of one system of differential equations. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 20 (1958), No. 4, 391-398.
  4. Asymptotic formulas of eigenfunctions of some boundary value problems of oscillation an anisotropic elastic body. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 23 (1959), No. 3, 265-272.
  5. Some plane boundary value problems for anisotropic elastic bodies. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin. SSR 27 (1960), 293-332.
  6. Application of singular integral equation to solution of some boundary value problems. (Russian) Trudy Tbiliss. Math. Inst. Razmadze Akad. Nauk Gruzin. SSR 28 (1962), 21-40.
  7. Generalization of the potential method for some elliptic systems. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 30 (1963), No. 6, 697-704.
  8. Green's tensors and some of their applications. (Russian) Trudy Gruz. Politekh. Inst. 8(93) (1963), 87-119.
  9. General mixed boundary value problem of the theory of elasticity and the potential theory (with B. D. Kupradze). (Russian) Soobshch. Akad. Nauk Gruzin. SSR 32 (1963), No. 1, 27-34.
  10. General mixed boundary value problems of the elasticity theory and of the potential theory (with B. D. Kupradze). (Russian) 2nd Cong. Theor. Appl. Mech., Papers, Moscow, 1964.
  11. On some mixed problems for multiply connected domains. (Russian) Trudy Tbiliss. Univ. 110 (1965), 79-88.
  12. On approximate solution of boundary value problems for one class of elliptic systems. (Russian) Differentsial'nye Uravnenyia 1 (1965), No. 9, 1231-1245.
  13. A method of solution of some boundary value problems for multiply connected domains. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 41 (1966), No. 1, 11-18.
  14. Some boundary value problems for one class of elliptic systems of higher order. Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin. SSR 32 (1967), 5-28.
  15. Mixed boundary value problems for one class of elliptic systems in multiply connected domains. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin. SSR 32 (1967), 29-53.
  16. A method of approximate solution of boundary value problems. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin. SSR 32 (1967), 54-93.
  17. Boundary value problems of elasticity for multiply connected domains. (Russian) Trudy Tbiliss. Univ. 129 (1968), 57-78.
  18. On Some spatial boundary value problems of elasticity with mixed boundary conditions of elasticity with mixed boundary conditions. (Russian) 3rd Cong. Theor. Appl. Mech., Papers, Moscow, 1968.
  19. Three-dimensional problems of the mathematical theory of elasticity and thermoelasticity (with V. D. Kupradze, T. G. Gegelia, and M. O. Basheleishvili). (Russian) Tbilisi University Press, Tbilisi, 1968.
  20. Approximate solutions of boundary value problems with mixed boundary value problems with mixed boundary conditions. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin. SSR 35 (1969), 5-31.
  21. On some spatial problems of elasticity with mixed boundary conditions (Russian) Trudy Gruz. Politekh. Inst. 5(133) (1969), 140-150.
  22. Boundary value problems of thermoelasticity (with V. D. Kupradze). (Russian) Differentsial'nye Uravnenyia 5 (1969), No. 1, 3-43.
  23. Some boundary value problems of thermoelasticity solved by quadratures, I (with V. D. Kupradze). (Russian) Differentsial'nye Uravnenyia 5 (1969), No. 10, 1735-1761.
  24. Some boundary value problems of thermoelasticity solved by quadratures, II (with V. D. Kupradze). (Russian) Differentsial'nye Uravnenyia 5 (1969), No. 11, 1923-1939.
  25. Solution of dynamical problems of the theory of elasticity (with V. D. Kupradze). (Russian) Semin. Inst. Prikl. Mat. Tbil. Univ. Abstract., Tbilisi, No. 3, 1970, 67-77.
  26. Wybrane zagadnienia teorii spezystosci i termosprezystosci (with V. D. Kupradze, T. G. Gegelia, and M. O. Basheleishvili). Zaklad Narodowy imienia Ossolinkich Wydawnictwo Polskiej Akademii Nauk, Wroclaw-Warszawa-Krakow, 1970.
  27. Proof of the existence and calculation of solutions of fundamental mixed problems of dynamics of a three-dimensional elastic body of an arbitrary form (with V. Kupradze). (Russian) Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin. SSR 39 (1971) (Collected papers in Equations of Math. Phys., 3), 23-42.
  28. On dynamic problems of the theory of elasticity (with V. Kupradze). Trends in elasticity and thermoelasticity (W. Nowacki Anniv. Volume), 137-149; Volters-Noordhoff Publishing, Groningen, 1971.
  29. Two-dimensional boundary value problems at thermoelasticity. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin. SSR 39 (1971), 5-22.
  30. The effective solution of some boundary value problems at thermoelasticity. (Russian) Trudy Gruz. Politekh. Inst. 7(147) (1971), 93-107.
  31. Basic initial boundary value problems of elasticity (with V. D. Kupradze and T. G. Gegelia). (Russian) 13th Cong. Theor. Appl. Mech., Papers. Moscow, 1972.
  32. Boundary value problems of thermoelasticity with mixed boundary conditions. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin. SSR 44 (1974), 10-29.
  33. Plane mixed problems of dynamics of an anisotropic elastic body. Trudy Tbiliss. Math. Inst. Razmadze Akad. Nauk Gruzin. SSR 44 (1974), 30-51.
  34. Green's tensors in the theory of elasticity (with R. V. Rukhadze). (Russian) Differentsial'nye Uravnenyia 10 (1974), No. 10, 1849-1865.
  35. The dynamical problems of the theory of elasticity and thermoelasticity (with V. D. Kupradze). (Russian) Sovremennye Problemy Matematiki 7, 163-296; VINITI, Moscow, 1975.
  36. Approximate solutions of some boundary value problems of the connected theory of thermoelasticity. Trudy Tbiliss. Math. Inst. Razmadze Akad. Nauk Gruzin. SSR 49 (1975), 5-18.
  37. Some linear elliptic boundary value problems in the space Lp. (Russian) Trudy Gruz. Politekh. Inst. 3(176) (1975), 116-133.
  38. Three-dimensional problems of the mathematical theory of elasticity and thermoelasticity (with V. D. Kupradze, T. G. Gegelia, and M. O. Basheleishvili). (Russian) Moscow, Nauka, 1976.
  39. Two-dimensional problems of dynamics for one class of systems of partial differential equations. Trudy Tbiliss. Math. Inst. Razmadze Akad. Nauk Gruzin. SSR 52 (1976), 20-38.
  40. The dynamical problems of the theory of elasticity and thermoelasticity (with V. D. Kupradze). Journal of Soviet Mathematics, vol. 7, No. 3, New York-London, 1977.
  41. Fourier-Laplace method in plane mixed problems of dynamics of an anisotropic elastic body. Trudy Gruz. Politekh. Inst. 6(197) (1977), 83-101.
  42. Three-dimensional dynamic problems for one class of nonstationary systems of differential equations of the elasticity theory. Trudy Tbiliss. Math. Inst. Razmadze Akad. Nauk Gruzin. SSR 58 (1978), 36-54.
  43. To the theory of dynamic problems of thermodiffusion of deformable solid elastic bodies. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 89 (1978), No. 2, 329-332.
  44. On the properties of thermodiffusion theory parameters. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 90 (1978), No. 3, 561-564.
  45. Three-dimensional problems of the mathematical theory of elasticity and thermoelasticity (with V. D. Kupradze, T. G. Gegelia, and M. O. Basheleishvili). North-Holland Publ. Comp., Amsterdam, 1979.
  46. Mathematical theory of boundary value problems of thermodiffusion in deformable rigid bodies. Trudy Tbiliss. Math. Inst. Razmadze Akad. Nauk Gruzin. SSR 65 (1980), 5-23.
  47. On boundary value problems of elastothermodiffusion solved in quadratures. Soobshch. Akad. Nauk. Gruzin. SSR 99 (1980), No. 3, 569-572.
  48. On three-dimensional dynamic problems of the conjugate theory of elastothermodiffusion (with Yu. A. Bezhuashvili). Differential'nye Uravnenyia 17 (1981), No. 8, 1446-1455.
  49. Effective solutions of some boundary value problems of elastothermodiffusion. Trudy Gruz. Politekh. Inst. 2(247) (1982), 5-11.
  50. Approximate solutions of boundary value problems of thermodiffusion of deformable elastic rigid bodies. Trudy Tbiliss. Math. Inst. Razmadze Akad. Nauk Gruzin. SSR 71 (1982), 19-30.
  51. To the theory of dynamic problems of nonclassical thermoelasticity. Trudy Tbiliss. Math. Inst. Razmadze Akad. Nauk Gruzin. SSR 73 (1983), 12-24.
  52. Three-dimensional dynamic problems of the nonclassical theory of thermoelasticity. Z. Anal. Anwendungen (ZAA) 3(5) (1984), 441-455.
  53. On three-dimensional dynamic problems of the nonclassical theory of thermoelasticity. Trudy Tbiliss. Math. Inst. Razmadze Akad. Nauk Gruzin. SSR 75 (1984), 3-21.
  54. Development of the potential method in the theory of elasticity (with T. G. Gegelia). (Russian) Metsniereba, Tbilisi, 1985.
  55. Solutions of three-dimensional boundary value problems of nonclassical thermoelasticity in Terms of generalized Fourier series. Trudy Tbiliss. Math. Inst. Razmadze Akad. Nauk Gruzin. SSR 81 (1986), 3-17.
  56. Problems of nonclassical thermoelasticity solved in terms of Fourier integrals. Trudy Tbiliss. Math. Inst. Razmadze Akad. Nauk Gruzin. SSR 81 (1986), 18-26.
  57. On dynamic problems of the generalized theory of thermoelasticity. (Russian) Semin. Inst. Prikl. Mat. Dokl. 2 (1986), No. 2, 21-24.
  58. On the solvability of the first basic tree-dimensional boundary-contact dynamic problem of the classical theory of elasticity (with R. V. Rukhadze). Trudy Gruz. Politekh. Inst. 6(303) (1986), No. 6, 9-17.
  59. Dynamic problems in the nonclassical theory of thermoelasticity that are solvable in closed form. (Russian) Trudy Tbiliss. Math. Inst. Razmadze Akad. Nauk Gruzin. SSR 87 (1987), 29-44.
  60. Non-stationary problems of generalized elastothermodiffusion for inhomogeneous media with a piecewise homogeneous structure. (Russian) Current Problems in Mathematical Physics, Proc. All-Union Simpoz. (Tbilisi, April 22-25, 1987) 2, 150-168; Tbilisi University Press, Tbilisi, 1987.
  61. Nichstetionäre Probleme der verallgemeineren Thermomechanik für inhomogene Medien mit stückweise-homogenen structur. Neunte Tagung über Probleme und Methoden der Mathematischen Physik (9. TMP). Technische Hochschule, Karl-Marx-Stadt, 1988.
  62. Green formulas in the generalized theory of elastothermodiffusion, and its applications. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin. SSR 90 (1988), 25-33.
  63. Dynamic problems of generalized thermomechanics. Proc. Intern. Cong. Appl. Mechanics (Beijing, China, August 21-25, 1989) 2, 589-594; International Academic Publishers, 1989.
  64. On the solvability of the second basic three-dimensional boundary-contact dynamic problem of the classical theory of elasticity (with R. V. Rukhadze). Trudy Gruz. Politekh. Inst. 6(348) (1989), No. 6, 5-11.
  65. On the solvability of the third and the fourth three-dimensional basic dynamic boundary-contact problem of the elasticity theory (with R. V. Rukhadze). Trudy Gruz. Politekh. Inst. 375 (1991), 9-13.
  66. On non-stationary spatial contact problems of the generalized theory of elastothermodiffusion. Semin. Inst. Prikl. Mat. Dokl. 6 (1991), No. 2, 41-44.
  67. Plane problems of thermodiffusion with mixed boundary conditions (with Yu. A. Bezhuashvili). Semin. Inst. Prikl. Mat. Dokl. 6 (1991), No. 45-47.
  68. Nonstationary problems of generalized elastothermodiffusion for nonhomogeneous media. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzii 96 (1991), 15-24.
  69. Two-dimensional problems of thermodiffusion with mixed boundary conditions (with Yu. A. Bezhuashvili) Trudy Gruz. Tekhnich. Univ. 376 (1992), No. 3, 9-15.
  70. On the theory of dynamical problems of generalized elasto-thermodiffusion. (Russian) Proc. Razmadze Math. Inst. Georgian Acad. Sci. 100 (1992), 10-38.
  71. Effective solutions of dynamic contact problems in the generalized theory of elastothermodiffusion for a nonhomogeneous half-space. (Russian) Soobshch. Akad. Nauk Gruzii 146 (1992), No. 3, 521-526.
  72. On dynamic three-dimensional contact problems of generalized elasto-thermodiffusion. Bull. Georgian Acad. Sci. 150 (1994), No. 2, 223-228.
  73. Conjugate fields i the theory of elasticity. Proc. A. Razmadze Math. Inst. 110 (1994), 27-49.
  74. Non-stationary problems of generalized elastothermodiffusion for nonhomogeneous media. Georgian Math. J. 1 (1994), No. 6, 587-598.
  75. The Fourier method in three-dimensional boundary contact dynamic problems of elasticity (with R. Rukhadze). Georgian Math. J. 2 (1995), No. 6, 559-576.
  76. On the theory of mathematical problems of generalized elastothermodiffusion (with R. Rukhadze). Bull. Georgian Acad. Sci. 153 (1996), No. 2, 201-205.
  77. Fourier method in three-dimensional boundary contact dynamic problems of moment elasticity theory (with R. Rukhadze). Bull. Georgian Acad. Sci. 153 (1996), No. 3, 352-355.
  78. On nonstationary three-dimensional contact problems of the generalized theory of elastothermodiffusion. Facta Univ. Ser. Mech. Automat. Control Robot. 2  (1996), No. 6, 33-37.
  79. Non-stationary initial boundary value contact problems of generalized elastothermodiffusion. Georgian Math. J. 4 (1997), No. 1, 1-18.
  80. Tree-dimensional boundary value problems of elastothermodiffusion with mixed boundary conditions (with Yu. Bezhuashvili). Georgian Math. J. 4 (1997), No. 3, 243-258.
  81. The Fourier method in three-dimensional dynamic problems of the linear of elasticity of mixtures (with R. Rukhadze). Bull. Georgian Acad. Sci. 156 (1997), No. 1, 31-36.
  82. Asymptotic distribution of eigenfunctions and eigenvalues of the basic boundary-contact oscillation problems of elasticity theory (with R. Rukhadze). Bull. Georgian Acad. Sci. 156 (1997), No. 3, 377-380.
  83. On three dimensional dynamic problems of the generalized theory of elastothermodiffusion. Mem. Differential Equations Math. Phys. 12 (1997), 22-32.
  84. On three-dimensional dynamic problems of generalized thermoelasticity. Georgian Math. J. 5 (1998), No. 1, 25-48.
  85. Asymptotic distribution of eigenfunctions and eigenvalues of basic boundary-contact oscillation problems of the couple-stress elasticity theory (with R. Rukhadze). Mem. Differential Equations Math. Phys. 15 (1998), 7-28.
  86. Asymptotic distribution of eigenelements of the basic two-dimensional boundary-contact oscillation problems of the classical and of the couple-stress elasticity theory (with R. Rukhadze). Science Revival Foundation "Intelect". Collected Papers 2 (1998), 9-11.
  87. Asymptotic distribution of eigenfunctions and eigenvalues of the basic boundary-Contact Oscillation Problems of Couple-stress elasticity theory (with R. Rukhadze). Bull. Georgian Acad. Sci. 157 (1998), No. 1, 18-22.
  88. The Fourier method in three-dimensional contact dynamic problems of elasticity with mixed boundary conditions (with R. Rukhadze). Georgian Science Revival Foundation. Collected Papers "Intelect" 3 (1998), 11-13.
  89. Solution the basic plane dynamic problem of thermodiffusion with mixed boundary conditions (with Yu. Bezhuashvili). Georgian Science Revival Foundation. Collected Papers "Intelect" 3 (1998), 14-16.
  90. Asymptotic distribution of eigenfunctions and eigenvalues of the basic boundary-contact oscillation problems of the classical theory of elasticity (with R. Rukhadze). Georgian Math. J. 6 (1999), No. 2, 107-126.