**Main Publications**

- On the asymptotic distribution of oscillation eigenfunctions of an elastic
body. (Russian)
*Soobshch. Akad. Nauk Gruzin. SSR***15**(1954), No. 4, 193-200. - To the theory of boundary value problems of oscillation for an elastic
body. (Russian)
*Trudy Tbiliss. Univ.***64**(1957), 215-240. - On fundamental solutions of one system of differential equations.
(Russian)
*Soobshch. Akad. Nauk Gruzin. SSR***20**(1958), No. 4, 391-398. - 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. - Some plane boundary value problems for anisotropic elastic bodies.
(Russian)
*Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin. SSR***27**(1960), 293-332. - 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. - Generalization of the potential method for some elliptic systems.
(Russian)
*Soobshch. Akad. Nauk Gruzin. SSR***30**(1963), No. 6, 697-704. - Green's tensors and some of their applications. (Russian)
*Trudy Gruz. Politekh. Inst.***8(93)**(1963), 87-119. - 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. - General mixed boundary value problems of the elasticity theory and of the
potential theory (with B. D. Kupradze). (Russian) 2
*nd Cong. Theor. Appl. Mech., Papers, Moscow,*1964. - On some mixed problems for multiply connected domains. (Russian)
*Trudy Tbiliss. Univ.***110**(1965), 79-88. - On approximate solution of boundary value problems for one class of
elliptic systems. (Russian)
*Differentsial'nye Uravnenyia***1**(1965), No. 9, 1231-1245. - 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. - 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. - 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. - A method of approximate solution of boundary value problems. (Russian)
*Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin. SSR***32**(1967), 54-93. - Boundary value problems of elasticity for multiply connected domains.
(Russian)
*Trudy Tbiliss. Univ.***129**(1968), 57-78. - On Some spatial boundary value problems of elasticity with mixed boundary
conditions of elasticity with mixed boundary conditions. (Russian) 3
*rd Cong. Theor. Appl. Mech., Papers, Moscow,*1968. - 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. - 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. - On some spatial problems of elasticity with mixed boundary conditions
(Russian)
*Trudy Gruz. Politekh. Inst.***5(133)**(1969), 140-150. - Boundary value problems of thermoelasticity (with V. D. Kupradze).
(Russian)
*Differentsial'nye Uravnenyia***5**(1969), No. 1, 3-43. - Some boundary value problems of thermoelasticity solved by quadratures, I
(with V. D. Kupradze). (Russian)
*Differentsial'nye Uravnenyia***5**(1969), No. 10, 1735-1761. - Some boundary value problems of thermoelasticity solved by quadratures, II
(with V. D. Kupradze). (Russian)
*Differentsial'nye Uravnenyia***5**(1969), No. 11, 1923-1939. - 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. - 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. - 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. - 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. - Two-dimensional boundary value problems at thermoelasticity. (Russian)
*Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin. SSR***39**(1971), 5-22. - The effective solution of some boundary value problems at thermoelasticity.
(Russian)
*Trudy Gruz. Politekh. Inst.***7(147)**(1971), 93-107. - Basic initial boundary value problems of elasticity (with V. D. Kupradze
and T. G. Gegelia). (Russian) 13
*th Cong. Theor. Appl. Mech., Papers. Moscow,*1972. - Boundary value problems of thermoelasticity with mixed boundary
conditions. (Russian)
*Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin. SSR***44**(1974), 10-29. - Plane mixed problems of dynamics of an anisotropic elastic body.
*Trudy Tbiliss. Math. Inst. Razmadze Akad. Nauk Gruzin. SSR***44**(1974), 30-51. - Green's tensors in the theory of elasticity (with R. V. Rukhadze).
(Russian)
*Differentsial'nye Uravnenyia***10**(1974), No. 10, 1849-1865. - The dynamical problems of the theory of elasticity and thermoelasticity
(with V. D. Kupradze). (Russian)
*Sovremennye Problemy Matematiki*7, 163-296;*VINITI, Moscow,*1975. - 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. - Some linear elliptic boundary value problems in the space
*L*. (Russian)_{p}*Trudy Gruz. Politekh. Inst.***3(176)**(1975), 116-133. - 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. - 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. - 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. - Fourier-Laplace method in plane mixed problems of dynamics of an
anisotropic elastic body.
*Trudy Gruz. Politekh. Inst.***6(197)**(1977), 83-101. - 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. - 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. - On the properties of thermodiffusion theory parameters. (Russian)
*Soobshch. Akad. Nauk Gruzin. SSR***90**(1978), No. 3, 561-564. - 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. - 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. - On boundary value problems of elastothermodiffusion solved in quadratures.
*Soobshch. Akad. Nauk. Gruzin. SSR***99**(1980), No. 3, 569-572. - On three-dimensional dynamic problems of the conjugate theory of
elastothermodiffusion (with Yu. A. Bezhuashvili).
*Differential'nye Uravnenyia***17**(1981), No. 8, 1446-1455. - Effective solutions of some boundary value problems of
elastothermodiffusion.
*Trudy Gruz. Politekh. Inst.***2(247)**(1982), 5-11. - 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. - To the theory of dynamic problems of nonclassical thermoelasticity.
*Trudy Tbiliss. Math. Inst. Razmadze Akad. Nauk Gruzin. SSR***73**(1983), 12-24. - Three-dimensional dynamic problems of the nonclassical theory of
thermoelasticity.
*Z. Anal. Anwendungen*(*ZAA*)**3(5)**(1984), 441-455. - On three-dimensional dynamic problems of the nonclassical theory of
thermoelasticity.
*Trudy Tbiliss. Math. Inst. Razmadze Akad. Nauk Gruzin. SSR***75**(1984), 3-21. - Development of the potential method in the theory of elasticity (with T.
G. Gegelia). (Russian)
*Metsniereba, Tbilisi,*1985. - 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. - Problems of nonclassical thermoelasticity solved in terms of Fourier
integrals.
*Trudy Tbiliss. Math. Inst. Razmadze Akad. Nauk Gruzin. SSR***81**(1986), 18-26. - On dynamic problems of the generalized theory of thermoelasticity.
(Russian)
*Semin. Inst. Prikl. Mat. Dokl.***2**(1986), No. 2, 21-24. - 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. - 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. - 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. - 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. - 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. - Dynamic problems of generalized thermomechanics.
*Proc. Intern. Cong. Appl. Mechanics*(*Beijing, China, August*21-25, 1989) 2, 589-594;*International Academic Publishers,*1989. - 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. - 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. - On non-stationary spatial contact problems of the generalized theory of
elastothermodiffusion.
*Semin. Inst. Prikl. Mat. Dokl.***6**(1991), No. 2, 41-44. - Plane problems of thermodiffusion with mixed boundary conditions (with Yu.
A. Bezhuashvili).
*Semin. Inst. Prikl. Mat. Dokl.***6**(1991), No. 45-47. - Nonstationary problems of generalized elastothermodiffusion for
nonhomogeneous media. (Russian)
*Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzii***96**(1991), 15-24. - Two-dimensional problems of thermodiffusion with mixed boundary conditions
(with Yu. A. Bezhuashvili)
*Trudy Gruz. Tekhnich. Univ.***376**(1992), No. 3, 9-15. - On the theory of dynamical problems of generalized elasto-thermodiffusion.
(Russian)
*Proc. Razmadze Math. Inst. Georgian Acad. Sci.***100**(1992), 10-38. - 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. - On dynamic three-dimensional contact problems of generalized
elasto-thermodiffusion.
*Bull. Georgian Acad. Sci.***150**(1994), No. 2, 223-228. - Conjugate fields i the theory of elasticity.
*Proc. A. Razmadze Math. Inst.***110**(1994), 27-49. - Non-stationary problems of generalized elastothermodiffusion for
nonhomogeneous media.
*Georgian Math. J.***1**(1994), No. 6, 587-598. - The Fourier method in three-dimensional boundary contact dynamic problems
of elasticity (with R. Rukhadze).
*Georgian Math. J.***2**(1995), No. 6, 559-576. - On the theory of mathematical problems of generalized
elastothermodiffusion (with R. Rukhadze).
*Bull. Georgian Acad. Sci*.**153**(1996), No. 2, 201-205. - 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. - 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. - Non-stationary initial boundary value contact problems of generalized
elastothermodiffusion.
*Georgian Math. J.***4**(1997), No. 1, 1-18. - Tree-dimensional boundary value problems of elastothermodiffusion with
mixed boundary conditions (with Yu. Bezhuashvili).
*Georgian Math. J.***4**(1997), No. 3, 243-258. - 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. - 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. - On three dimensional dynamic problems of the generalized theory of
elastothermodiffusion.
*Mem. Differential Equations Math. Phys*.**12**(1997), 22-32. - On three-dimensional dynamic problems of generalized thermoelasticity.
*Georgian Math. J.***5**(1998), No. 1, 25-48. - 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. - 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. - 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. - 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. - 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. - 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.