PUBLICATIONS

1. On existence and uniqueness of solutions of periodic boundary value problems for linear hyperbolic equations. Bull. Acad. Sci. of Georgia 146 (1992), N 3, 501-505.
2. On the correctness of periodic boundary value problems for linear hyperbolic equations. Bull. Acad. Sci. of Georgia 147 (1993), N 1, 26-30.
3. On a boundary value problem for quasilinear hyperbolic systems. (Russian) Dokl. Akad. Nauk 328 (1993), N 2, 135-138; translation in Russ. Acad. Sci., Dokl., Math. 47 (1993), N 1, 21–25.
4. Periodic boundary value problems for linear hyperbolic equations. I (Russian) Differ. Uravn. 29 (1993), N 2, 281-297; translation in Differential Equations 29 (1993), N 2, 231-245.
5. Periodic boundary value problems for linear hyperbolic equations. II. (Russian) Differ. Uravn. 29 (1993), N 4, 637-645; translation in Differential Equations 29 (1993), N 4, 542-549.
6. Some boundary value problems for systems of linear partial differential equations of hyperbolic type. Mem. Differential Equations Mathematical Phys. 1 (1994), 1-144.
7. On solutions that are bounded and periodic in a strip of quasilinear hyperbolic systems. (Russian) Differ. Uravn. 30 (1994), N 10, 1760-1773; translation in Differential Equations 30 (1994), N 10, 1628-1639.
8. On an analogue of Favard's theorem for linear hyperbolic systems. (Russian) Differ. Uravn. 31 (1995), N 5, 910-911.
9. On bounded in a strip solutions of quasilinear partial differential equations of hyperbolic type. Applicable Analysis 58 (1995), N 3-4, 199-214.
10. On periodic solutions of linear hyperbolic systems. (Russian) Differ. Uravn. 31 (1995), N 9, 1592-1593.
11. On some nonlocal problems for linear hyperbolic systems. (Russian) Doklady Acad. Nauk 345 (1995), N 3, 300-302.
12. On sufficient conditions of existence and uniqueness of periodic in a strip solutions of nonlinear hyperbolic equations. Mem. Differential Equations Math. Phys. 10 (1997), 119-121.
13. On unique solvability of the periodic problem in the plane for linear hyperbolic equations. Mem. Differential Equations Math. Phys. 10 (1997), 129-131.
14. On periodic in the plane solutions of second order linear hyperbolic systems. Arch. Math. 33 (1997), N 4, 253-272.
15. On doubly periodic solutions of one class of nonlinear hyperbolic equations. (Russian). Differ. Uravn. 34 (1998), N 2, 238-245; translation in Differential Equations 34 (1998), N 2, 242-249.
16. On periodic solutions of nonlinear hyperbolic equations. Differ. Uravn. 34 (1998), N 11, 1576.
17. On the correctness of the Dirichlet problem in a characteristic rectangle for fourth order linear hyperbolic equations. Georgian Math. J 6 (1999), N 5, 447-470.
18. On the Dirichlet problem in a characteristic rectangle for fourth order linear singular hyperbolic equations. Georgian Math. J 6 (1999), N 6, 537-552.
19. On periodic in the plane solutions of nonlinear hyperbolic equations. Nonlinear Anal. 39 (2000), N 2, Ser. A: Theory Methods, 173-185.
20. On bounded and time-periodic solutions of nonlinear wave equations. J Math. Anal. Appl. 259 (2001), N 1, 253 –276.
21. On oscillatory properties of solutions of higher order linear hyperbolic equations. (with I. P. Stavroulakis) Advances Math. Sci. Appl. 11 (2001), N 2, 645-672.
22. On existence of oscillatory solutions to higher order linear hyperbolic equations. (with I. P. Stavroulakis) Mem. Differential Equations Math. Phys. 22 (2001), 147-153.
23. On doubly periodic solutions of fourth order linear hyperbolic equations. (with V. Lakshmikantham) Nonlinear Anal. Ser. A.: Theory Methods 49 (2002), N 1, 87-112.
24. On the Dirichlet problem for fourth order linear hyperbolic equations. (with V. Lakshmikantham) Nonlinear Anal. Ser. A.: Theory Methods 49 (2002), N 2, 197-219.
25. On Dirichlet problem in a characteristic rectangle for higher order linear hyperbolic equations. (with V. Lakshmikantham) Nonlinear Anal. Ser. A.: Theory Methods 50 (2002), N 8, 1153-1178.
26. On vanishing at infinity solutions of higher order linear hyperbolic equations. (with I. P. Stavroulakis) J Inequalities Appl. 7 (2002), N 4, 517-553.
27. Oscillation criteria for a class of partial functional-differential equations of higher order. (with T. Kusano and N. Yoshida) J. Appl. Math. Stochastic Anal. 15 (2002), N 3, 271-282.
28. On well-posedness of initial-boundary value problems for higher order linear hyperbolic equations with two independent variables. (with T. Kusano) (Russian) Differ. Uravn. 39 (2003), N 4, 516-526.
29. On ill-posed initial-boundary value problems for higher order linear hyperbolic equations with two independent variables. (with T. Kusano) (Russian) Differ. Uravn. 39 (2003), N 10, 1379-1394.
30. On initial-boundary value problems for degenerate linear hyperbolic systems. Mem. Differential Equations Math. Phys. 28 (2003), 141-146.
31. On initial--boundary value problems for degenerate nonlinear hyperbolic systems. Mem. Differential Equations Math. Phys. 31 (2004), 113-116.
32. On some boundary value problems for nonlinear degenerate hyperbolic equations of higher order. Mem. Differential Equations Math. Phys. 31 (2004), 117-122.
33. On bounded solutions of third order nonlinear hyperbolic equations higher order. Mem. Differen-tial Equations Math. Phys. 32 (2004), 151-153.
34. On bounded and periodic in a strip solutions of nonlinear hyperbolic systems with two independent variables. (with T. Kusano) Comput. and Math. 49 (2005), 335-364.
35. Existence and uniqueness theorems on periodic solutions to multidimensional linear hyperbolic equations. Mem. Differential Equations Math. Phys. 36 (2005), 142-146.
36. On Lidstone boundary value problem for higher order nonlinear hyperbolic equations with two independent variables. Mem. Differential Equations Math. Phys. 6 (2005), 153-156.
37. On initial-boundary value problems in bounded and unbounded domains for a class of nonlinear hyperbolic equations of the third order. (with V. Lakshmikantham) J Math. Anal. Appl. 324 (2006), 1242-1261.
38. On doubly periodic solutions of quasilinear hyperbolic equations of the fourth order. (with T. Smith) Proc. Confer. Differential & Difference Equations Appl. (Melbourne, Florida), 2006, 541-553.
39. On blow-up solutions of initial characteristic problem for nonlinear hyperbolic systems with two independent variables. (with I. Kiguradze) Mem. Differential Equations Math. Phys. 38 (2006), 146-149.
40. On doubly periodic solutions of nonlinear hyperbolic equations of higher order. Georgian Math. J 14 (2007), N 3, 457-469.
41. On solvability and well-posedness of initial-boundary value problems for higher order nonlinear hyperbolic equations. Mem. Differential Equations Math. Phys. 42 (2007), 145-152.
42. On solvability if ill posed initial--boundary value problems for higher order nonlinear hyperbolic equations. Mem. Differential Equations Math. Phys. 42 (2007), 153-160.
43. On solvability of boundary value problems for higher order nonlinear hyperbolic equations. (with I. Kiguradze) Nonlinear Analysis 69 (2008), 1914–1933.
44. On solvability and well-posedness of boundary value problems for nonlinear hyperbolic equations of the fourth order. Georgian Math. J 15 (2008), N 3, 555-569.
45. On solvability and unique solvability of two--point singular boundary value problems. Nonlinear Analysis 71 (2009), 789-798.
46. On some nonlocal boundary value problems for linear singular differential equations of higher order. Mem. Differential Equations Math. Phys. 47 (2009), 169-174.
47. The Vallée-Poussin Problem for Higher Order Nonlinear Hyperbolic Equations. Computer and Mathematics with Applications 59 (2010), 994-1002.
48. Estimates for the Cauchy function of linear singular differential equations and some applications. Differ. Uravn. 46 (2010), No. 1, 29-46; translation in Differ. Equ. 46 (2010), No. 1, 30-47.
49. On conditions for linear singular boundary value problems to be well-posed. Differ. Uravn. 46 (2010), No. 2, 183-190; translation in Differ. Equ. 46 (2010), No. 2, 187-194.
50. Global and blow-up solutions of the characteristic initial value problem for second order nonlinear hyperbolic equations. Mem. Differential Equations Math. Phys. 49 (2010), 121-138.
51. Optimal conditions of solvability of nonlocal problems for second-order ordinary differential equations. (with I. Kiguradze) Nonlinear Analysis 74 (2011), 757-767.