ﾞﾉﾒﾉﾈﾀﾃﾉ ﾓﾀﾌﾄﾝﾍﾉﾄﾒﾏ ﾍﾀﾛﾒﾏﾌﾄﾁﾉﾓ ﾍﾖﾓ眤

(i) ﾌﾏﾍﾏﾂﾒﾀﾗﾉﾄﾁﾉ

  1. Goursat and Darboux type problems for linear hyperbolic partial differential equations and systems. Mem. Differential Equations Math. Phys. 4 (1995), 1-127.

(ii) ﾓﾀﾌﾄﾝﾍﾉﾄﾒﾏ ﾓﾔﾀﾔﾉﾄﾁﾉ

  1. The characteristic problem for hyperbolic second order systems with constant coefficients. (Russian) Differentsial地ye Uravneniya 14 (1978), No. 1, 123-135; English transl.: Differ. Equations 14 (1978), No. 1, 87-96.

  2. The characteristic problem for second order strictly hyperbolic systems with two independent variables. (Russian) Differentsial地ye Uravneniya 15 (1979), No. 1, 142-152; English transl.: Differ. Equations 15 (1979), No. 1, 99-106.

  3. A problem of Goursat type for a certain class of hyperbolic systems. (Russian) Differentsial地ye Uravneniya 17 (1981), No. 1, 157-164; English. transl.: Differ. Equations 17 (1981), No. 1, 110-115.

  4. Goursat problem for a class of systems of second order hyperbolic equations. (Russian) Differentsial地ye Uravneniya 18 (1982), No. 1, 152-166; English transl.: Differ. Equations 18 (1982), No. 1, 131-142.

  5. Solvability of a Goursat problem for second order normally hyperbolic systems with variable coefficients. (Russian) Differentsial地ye Uravneniya 19 (1983), No. 1, 137-145; English transl.: Differ. Equations 19 (1983), No. 1, 114-123.

  6. On some boundary value problems for normally hyperbolic systems of second order. (Russian) Soobshch. Akad. Nauk Gruz. SSR 116 (1984), No. 2, 269-272.

  7. About the solvability of some boundary value problem for linear normally hyperbolic second order systems with variable coefficients. (Russian) Soobshch. Akad. Nauk Gruz. SSR 116 (1984), No. 3, 477-480.

  8. On some higher dimensional problem of Goursat type for strictly hyperbolic systems of second order. (Russian) Soobshch. Akad. Nauk Gruz. SSR 117 (1985), No. 1, 37-40.

  9. Characteristic problem for a class of second order hyperbolic systems with parabolic degeneration. (Russian) Soobshch. Akad. Nauk Gruz. SSR 117 (1985), No. 2, 261-263.

  10. On the solvability of a class of degenerate functional equations. (Russian) Soobshch. Akad. Nauk Gruz. SSR 117 (1985), No. 3, 497-499.

  11. On a boundary value problem for a second order hyperbolic equation. (Russian) Dokl. Akad. Nauk SSSR 280 (1985), No. 6, 1313-1316; English. transl.: Sov. Math., Dokl. 31 (1985), 250-252.

  12. A boundary value problem for second order normally hyperbolic systems with variable coefficients. (Russian) Differentsial地ye Uravneniya 21 (1985), No. 1, 149-155; English transl.: Differ. Equations 21 (1985), No. 1, 121-126.

  13. A characteristic problem for a class of second order hyperbolic systems with a parabolic degeneration. (Russian) Differentsial地ye Uravneniya 22 (1986), No. 1, 153-164; English transl.: Differ. Equations 22 (1986), No. 1, 122-131.

  14. Solvability of a boundary value problem for second order hyperbolic equations. (Russian) Trudy Inst. Prikl. Mat. Im. I. N. Vekua 19 (1987), 122-173.

  15. Solvability of a characteristic problem for degenerate second order hyperbolic systems. (Russian) Differentsial地ye Uravneniya 25 (1989), No. 1, 154-162; English transl.: Differ. Equations 25 (1989), No.1, 123-131.

  16. The characteristic problem for a class of second order hyperbolic systems with degeneration of the type and order. (Russian) Soobshch. Akad. Nauk Gruz. SSR 135 (1989), No. 2, 269-271.

  17. Characteristic problem for a class of second order hyperbolic systems with type-changes on characteristics. (Russian) Differentsial地ye Uravneniya 26 (1990), No. 2, 305-313; English transl.: Differ. Equations 26 (1990), No. 2, 235-242.

  18. On a characteristic problem for second order hyperbolic systems with degeneration of type and order. (Russian) Soobshch. Akad. Nauk Gruz. SSR 140 (1990), No. 1, 29-31.

  19. On a spatial problem for high order strictly hyperbolic systems in several independent variables. (Russian) Bull. Georgian Acad. Sci. 146 (1992), No. 1, 478-481.

  20. On the correct formulation of one multidimensional problem for strictly hyperbolic equations of higher order. Proc. Georgian Acad. Sci. Math. 1 (1993), No. 2, 159-169.

  21. On the correct formulation of a multidimensional problem for strictly hyperbolic equations of higher order. Georgian Math. J. 1 (1994), No. 2, 141-150.

  22. On a spatial problem of Darboux type for a second order hyperbolic equation. Georgian Math. J. 2 (1995), No. 3, 299-311.

  23. On the solvability of a spatial problem of Darboux type for the wave equation. Georgian Math. J. 2 (1995), No. 4, 385-394.

  24. On the solvability of a Darboux type non-characteristic spatial problem for the wave equation. Georgian Math. J. 3 (1996), No. 1, 59-68.

  25. On a Darboux type multidimensional problem for second order hyperbolic systems. Georgian Math. J. 3 (1996), No. 4, 363-378.

  26. On the solvability of the multidimensional version of the first Darboux problem for a model second-order degenerating hyperbolic equation. Georgian Math. J. 4 (1997), No. 4, 341-354.

  27. On the solvability of a multidimensional version of the Goursat problem for a second order hyperbolic equation with characteristic degeneration. Mem. Differential Equations Math. Phys. 11 (1997), 89-103.

  28. To the theory of boundary value problems for hyperbolic type equations and systems (with J. Gvazava). Mem. Differential Equations Math. Phys. 12 (1997), 68-75.

  29. On some multidimensional versions of a characteristic problem for second order degenerating hyperbolic equations. Georgian Math. J. 5 (1998), No. 2, 139-156.

  30. On some boundary value problems for an ultrahyperbolic equation. Georgian Math. J. 5 (1998), No. 4, 341-360.

  31. Boundary value problems for a class of systems of second order partial differential equations. (Russian) Differentsial地ye Uravneniya 34 (1998), No. 1, 114-122; English transl.: Differ. Equations 34 (1998), No. 1, 117-125.

  32. On the solvability of some multidimensional versions of the Goursat problem for a first order hyperbolic system. (Russian) Differentsial地ye Uravneniya 35 (1999), No. 8, 1112-1121.

  33. On the formulation of characteristic problems for first order symmetric hyperbolic systems. (Russian) Differentsial地ye Uravneniya 36 (2000), No. 8, 1113-1122.

  34. Direct and inverse fluid-structure interaction problems (with D. Natroshvili and Z. Tediashvili). Rend. Mat. Appl. (7) 20 (2000), 57-92.

  35. On a vibration of elastic cusped bars (with G. Jaiani). Bull. TICMI 4 (2000), 24-28.

  36. A multidimensional version of the first Darboux problem for a second order degenerating hyperbolic equation. Appl. Math. Inform. 5 (2000), No. 1, 66-76.

  37. Some mathematical problems related to the first approximation of  I. Vekua痴 theory for cusped prismatic shells (with G. Devdariani, G. Jaiani, and D. Natroshvili). Appl. Math. Inform. 5 (2000), No. 2, 26-46.

  38. Dynamical problems in the (0,0) and (1,0) approximations of a mathematical model of cusped bars (with G. Jaiani). Functional-analytic and Complex Methods, Interactions, and Applications to Partial Differential Equations. Proceedings of the International Graz Workshop (Graz, Astrie, 12-16, February), 188-247, World Scientific, 2001.

  39. On the solvability of some boundary value problems for symmetric first order hyperbolic systems in a dihedral angle. Mem. Differential Equations Math. Phys. 27 (2002), 115-144.

  40. On the correct formulation of some nonlocal problems for the wave equations. (Russian) Differentsial地ye Uravneniya 39 (2003), No. 4, 539-553.

  41. On the correct formulation of some boundary value problems for symmetric hyperbolic systems of first order in a dihedral angle. Mem. Differential Equations Math. Phys. 29 (2003), 1-30.

  42. Hierarchical models for elastic cusped plates and beams (with G. Jaiani, D. Natroshvili, and W. L. Wendland). Lecture notes of TICMI 4 (2003), 1-121.