MAIN PUBLICATIONS

1. On the initial problem for systems of generalized ordinary differential  equations. (Russian) V kn. Kraev. Zadachy. Permsk. Politekh. Inst., Perm, 1984, 63-68.

2.  Оn a multipoint value problem for a system of generalized ordinary differential equations. (Russian)  Soobshch. Akad. Nauk Gruz. SSR  115 (1984), No. 1 , 17-20.

3.  On a nonlinear boundary value problem for a system of generalized ordinary differential equations. (Russian) Soobshch. Akad. Nauk Gruz. SSR 118 (1984), No. 2, 261-264.

4.  On the structure of the set of solutions of the Cauchy problem for a system of   generalized ordinary differential  equations. (Russian) Trudy Inst. Prikl. Mat.  im. I. N.   Vekua  17 (1986), 5-16.

5.  On the unique solvability of the Cauchy problem for a system of generalized ordinary differential equations. (Russian)  Kraev. Zadachy. Permsk. Politekh. Inst., Perm’, 1986, 65-70.

6.  On the Cauchy problem for a system of generalized ordinary differential  equations. (Russian) Trudy Inst. Prikl. Mat. im. I. N.  Vekua  22 (1987), 5-40.

7.  On the continuous dependence of solutions of the Cauchy problem for a system of generalized ordinary differential  equations. (Russian) Trudy Inst. Prikl. Mat. im. I. N.  Vekua  31 (1988), 5-22.

8.  On the solvability of quasi-linear boundary value problems for a system of generalized ordinary differential  equations. (Russian) Soobshch. Akad. Nauk Gruz. SSR  133 (1989), No. 2, 261-264.

9.  On the question of correctness of linear boundary value problems for a system of generalized ordinary differential equations (with D. G. Bitsadze). (Russian) Soobshch. Akad. Nauk Gruz. SSR  142 (1991), No. 3, 473-476.

10.  On the unique solvability and correctness of boundary value problems for systems of generalized ordinary differential equations. (Russian) Reports Enlarged Session Sem. I. N. Vekua Inst. Appl. Math. 7 (1992), No. 3, 12-15.

11.  On generalized differential inequalities. (Russian) Bull. Acad. Sc. Georgia 148 (1993), No. 2, 172-175.

12.  On the stability of solutions of linear boundary value problems for  a system of ordinary differential equations. Georgian  Math. J. 1 (1994), No. 4, 115-126.

13.  On the correctness of linear boundary value problems for systems of generalized ordinary differential equations. Georgian  Math. J. 1 (1994), No. 2, 343-351.

14.  Well-posedness of the Cauchy-Nicoletti problem for nonlinear systems of generalized ordinary differential equations. (Russian) Differentsial’nye Uravneniya  31 (1995), No. 3, 382-392.

15.  On the stability of solutions of nonlinear boundary value  problems for  systems of generalized ordinary differential equations. Mem. Differential Equations Math. Phys. 5 (1995), 117-118.

16.  On a method of  construction of the solution of the multipoint boundary value problem for  a system of generalized ordinary differential equations. Mem. Differential Equations Math. Phys. 5 (1995), 119-121.

17.  On the stability of solutions of the multipoint boundary value  problem for  the system of generalized ordinary differential equations. Mem. Differential Equations Math. Phys. 6 (1995), 1-57.

18.  On the question of solvability of the periodic boundary value  problem for a system of linear  generalized ordinary differential equations. Mem. Differential Equations Math. Phys. 6 (1995), 121-123.

19.  Conditions of existence and uniqueness of solutions of nonlinear boundary value problems for systems of generalized ordinary differential equations. (Russian) Differentsial’nye Uravneniya  32 (1996), No. 4, 441-449.

20.  Criteria of solvability of a multipoint boundary value problems for a system of generalized ordinary differential equations. (Russian) Differentsial’nye Uravneniya  32 (1996), No. 10, 1303-1311.

21.  On the correctness of nonlinear boundary value problems for systems of generalized ordinary differential equations. Georgian  Math. J. 3 (1996), No. 6, 501-524.

22.  Criteria of correctness of linear boundary value problems for systems of generalized ordinary differential equations. Czechoslovak Math. J. 46 (121) (1996), 385-404.

23.  On the solvability of the one multipoint boundary value  problem for  a system of generalized ordinary differential equations. Bull. Acad. Sc. Georgia 153 (1996), No. 1, 24-28.

24.  On the correctness of the multipoint boundary value  problem for  a system of generalized ordinary differential equations.  Bull. Acad. Sc. Georgia 154 (1996) No. 1, 9-14.

25.  On the question of the correctness of  nonlinear boundary value  problems  for systems of generalized ordinary differential equations. Reports Enlarged Session Sem. I. N. Vekua Inst. Appl. Math.  11 (1996),  No. 1-3 , 10-13.

26.  On the method of the construction of a solution of the periodic boundary value problem for  a system of linear generalized ordinary differential equations. Reports Enlarged Session Sem. I. N. Vekua Inst. Appl. Math.  11 (1996),  No. 1-3 , 14-17.

27.  On successive approximations for solving the Cauchy problem for a system  of linear generalized ordinary differential equations. Mem. Differential Equations Math. Phys. 10 (1997), 111-112.

28.  On  systems of linear generalized ordinary differential and integral inequalities. Mem. Differential Equations Math. Phys. 10 (1997), 122-124.

29.  On the existence of nonnegative solutions of the periodic boundary value  problem for  a system of generalized ordinary differential equations. Mem. Differential Equations Math. Phys. 10 (1997), 153-156.

30.  On the question of solvability of the periodic boundary value  problem for  a system of generalized ordinary differential equations. Mem. Differential Equations Math. Phys. 11 (1997), 159-162.

31.  Conditions of the existence and uniqueness of solutions of the multipoint boundary value  problem for  a system of generalized ordinary differential equations. Georgian Math. J. 5 (1998), No.1, 1-24.

32.  On the correctness of linear boundary value problems for linear systems of ordinary differential equations. (Georgian) Bull. Sukh. Branch Tbil. St. Un. 1 (1998), 19-22.

33.  On the general boundary value  problem for the system of difference equations. Extended Abst.  Fourth Int. Conf. Diff. Eq. Poland, Poznan, (1998), 27-30.

34.   On difference multipoint boundary value problems. Reports Enlarged Session Sem. I. N. Vekua Inst. Appl. Math. 14 (1999), No. 3, 6-11.

35.  On existence of solutions of the periodic boundary-value problem for nonlinear system of generalized ordinary differential equations. Mem. Differential Equations Math. Phys. 16 (1999), 150-153.

36.  On the solvability of linear boundary-value problems for systems of generalized ordinary differential equations. Functional Differential Equations 7 (2000), No. 1-2, 39-64.

37.  Criteria of correctness of linear boundary-value problems for systems of ordinary differential equations. Reports Enlarged Session Sem. I. N. Vekua Inst. Appl. Math. 15 (2000), No. 3, 40-43.

38.  On Lyapunov stability of linear systems of generalized ordinary differential equations. (with N. Kekelia). Mem. Differential Equations Math. Phys. 21 (2000), 134-137.

39.  On the questions of stability of linear systems of generalized ordinary differential equations. (with N. Kekelia). Mem. Differential Equations Math. Phys. 23 (2001), 147-151.

40.  On the exponentially asymptotically stability of linear systems of generalized ordinary differential equations (with N. Kekelia). Georgian Math. J. 8 (2001), No. 4, 645-664.

41.  Criteria of stability for linear systems of generalized ordinary differential equations. (with N. Kekelia and T.Chilachava). Mem. Differential Equations Math. Phys. 22 (2001), 143-146.

42.  On effective sufficient conditions for stability of linear systems of impulsive equations. (with N. Kekelia). Mem. Differential Equations Math. Phys. 28 (2003), 147-151.

43.  On the comparison theorems for stability of linear systems of impulsive equations. (with N. Kekelia). Mem. Differential Equations Math. Phys. 30 (2003), 149-152.

44.  On the stability of  linear systems of  ordinary differential, impulsive and difference equations (with N. Kekelia). (Georgian) Mem. First Georg. Sc. Conf. “AMA”, Kutaisi, 2003, 9-15.

45.  Well-posedness of the Cauchy problem for linear systems of generalized ordinary differential equations on an infinite interval (with N. Kekelia). (Russian) Differentsial’nye Uravneniya 40 (2004), No. 4, 443-454; English transl.: Differ. Equations 40 (2004), 477-490.

46.  On Lyapunov stability of a class of linear systems of generalized ordinary differential equations and linear impulsive systems. Mem. Differential Equations Math. Phys. 31 (2004), 139-144.

47.  On the Fredholm property of boundary-value problems for systems of generalized ordinary differential equations with singularities. Mem. Differential Equations Math. Phys. 32 (2004), 137-141.

48.  On Lyapunov stability of a class of linear systems of difference equations. Mem. Differential Equations Math. Phys. 31 (2004), 149-152.

49.  On the general and multipoint boundary value problems for linear systems of generalized ordinary differential equations, linear impulse and linear difference systems. Mem. Differential Equations Math. Phys. 36 (2005), 1-80.

50.  Lyapunov stability of systems of linear generalized ordinary differential equations. Computers and Mathematics with Applications 50 (2005), 957-982.

51.  On linear boundary value problems for systems of difference equations. (Georgian) Bull. Sukh. Branch Tbil. St. Un.  3 (2005), 15-18.

52.  On boundary value problems for systems of linear generalized ordinary differential equations with singularities. (Russian) Differentsial’nye Uravneniya 42 (2006), No. 3, 291-301; English transl.: Differ. Equations 42 (2006), 307-319.

53.  Criteria of correctness of linear boundary value problems for systems of impulsive equations with finite and fixed points of impulses actions (with G. Ekhvaia). Mem. Differential Equations Math. Phys. 37 (2006), 154-157.

54.  On comparision theorems of stability between linear systems of ordinary, impulsive and difference equations and linear systems of generalized ordinary differential equations (with N. Kekelia). Mem. Differential Equations Math. Phys. 39 (2006), 143-148.

55.   On a method for constructing solutions of boundary value problems for linear generalized differential systems. (Russian) Differentsial’nye Uravneniya  43 (2007), No. 10, 1299-1310; English transl.: Differ. Equations  43 (2007),  1327-1339.

56.  On a priori estimates of  bounded solutions of systems of linear generalized ordinary differential Inequalities. Mem. Differential Equations Math. Phys. 41 (2007), 151-157.

57.  On the solvability of a multipoint boundary value problem for systems of nonlinear generalized ordinary differential equations. Mem.    Differential Equations Math. Phys. 43 (2008), 143-152.

58. On the solvability of a multipoint boundary value problem for systems of nonlinear impulsive  equations with finite and fixed points of impulses actions (with G. Ekhvaia). Mem. Differential Equations Math. Phys. 43  (2008), 153-158.

59. On the solvability of the periodic type boundary value problem for linear systems  of generalized ordinary differential equations. Mem. Differential Equations Math. Phys. 44 (2008),  133-142.

60. On the solvability of the periodic type boundary value problem for linear impulsive systems. Mem. Differential Equations Math. Phys. 44 (2008),  143-150 (with Sh. Akhalaia).

61. On the existence of bounded solutions for systems of  nonlinear generalized ordinary differential equations. Mem. Differential Equations Math. Phys. 45 (2008),  125-130.

62. On the existence of bounded solutions for systems of  nonlinear impulsive  equations. Mem. Differential Equations Math. Phys. 45 (2008),  131-134.

63. On sufficient conditions for stability of linear systems of difference equations of first order. (Georgian) Bull. Sukh. St. Un.  4(2008), 7-13. (with N. Kekelia).

64. On the Necessary and Sufficient Conditions for the Stability of Linear Systems of Generalized Ordinary Differential Equations. Mem. Differential Equations Math. Phys. 46 (2009), 115-128. (with Sh. Akhalaia and N. Kekelia).

65. On the solvability of boundary value problems on an infinity interval for nonlinear two dimensional generalized and impulsive differential systems. Mem. Differential Equations Math. Phys. 46 (2009), 159-167.

66. On the Necessary and Sufficient Conditions for the Stability of Linear Generalized Ordinary Differential, Linear Impulsive and Linear Difference Systems. Georgian Math. J. 16(2009), №4 (with Sh. Akhalaia and N. Kekelia) (in print).

67. On some boundary value problems for linear generalized differential systems  with singularities. (Russian) Differentsial’nye Uravneniya 42 (2010), №2 (in print).