Main Publications

 

(i)  Monographs and Surveys

  1. Some singular boundary value problems for ordinary differential equations. (Russian) Tbilisi University Press, Tbilisi, 1975.

  2. Boundary value problems for systems of ordinary differential equations. (Russian) Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Novejshie Dostizh. 30 (1987), 3-103; English transl.: J. Sov. Math. 43 (1988), No. 2, 2259-2339. pdf

  3. Singular boundary value problems for second order ordinary differential equations (with B. L. Shekhter). (Russian) Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Novejshie Dostizh. 30 (1987), 105-201; English transl.: J. Sov. Math. 43 (1988), No. 2, 2340-2417. pdf

  4. Asymptotic properties of solutions of nonautonomous ordinary differential equations (with T. Chanturia). (Russian) Nauka, Moscow, 1990.

  5. Asymptotic properties of solutions of nonautonomous ordinary differential equations (with T. Chanturia). Kluwer Academic Publishers, Dordrecht-Boston-London, 1993.

  6. On multi-point boundary value problems for systems of functional differential and difference equations (with Sh. Gelashvili). Mem. Differential Equations Math. Phys. 5 (1995), 1-113.

  7. Initial and boundary value problems for systems of ordinary differential equations, I. (Russian) Metsniereba, Tbilisi, 1997.

  8. Boundary value problems for systems of linear ordinary differential equations. (Czech) Masaryk University, Brno, 1997.

  9. Boundary value problems for systems of linear functional differential equations (with B. Puza). Masaryk University, Brno, 2003.

(ii) Papers

  1. On the oscillation of solutions of some ordinary differential equations. (Russian) Dokl. Akad. Nauk SSSR 144 (1962), No. 1, 33-36; English transl.: Sov. Math., Dokl. 3 (1962), 649-652.

  2. On oscillation conditions for solutions of the equation . (Russian) Časop. Pěstov. Mat. 87 (1962), No. 4, 492-495.

  3. On asymptotic properties of solutions of the equation . (Russian) Soobshch. Akad. Nauk Gruz. SSR 30 (1963), No. 2, 129-136.

  4. On the oscillation of solutions of the equation . (Russian) Mat. Sb. 65 (1964), No. 2, 172-187. pdf

  5. On the asymptotic representation of solutions of linear differential equations. (Russian) Trudy Tbiliss. Univ. Mat. Mekh. Astronom. 102 (1964), 149-167.

  6. On nonoscillatory solutions of the equation . (Russian) Soobshch. Akad. Nauk Gruz. SSR 35 (1964), No. 1, 15-22.

  7. A note on the boundedness of solutions of differential equations. (Russian) Trudy Tbiliss. Univ. Mat. Mekh. Astronom. 110 (1965), 103-108.

  8. Concerning the oscillation of solutions of nonlinear differential equations. (Russian) Differentsial地ye Uravneniya 1 (1965), No. 8, 995-1006; English transl.: Differ. Equations 1 (1965), 773-782.

  9. Comparison lemma and the question of uniqueness of solutions of the Cauchy problem for ordinary differential equations. (Russian) Soobshch. Akad. Nauk Gruz. SSR 39 (1965), No. 3, 513-518.

  10. On the Cauchy problem for ordinary differential equations with singularity. (Russian) Soobshch. Akad. Nauk Gruz. SSR 37 (1965), No. 1, 19-24.

  11. On the Cauchy problem for singular systems of ordinary differential equations. (Russian) Differentsial地ye Uravneniya 1 (1965), No. 10, 1271-1291; English transl.: Differ. Equations 1 (1965), 995-1011.

  12. Asymptotic properties of solutions of a nonlinear differential equation of Emden-Fowler type. (Russian) Izv. Akad. Nauk SSSR. Ser. Mat. 29 (1965), No. 5, 965-986. pdf

  13. On a priori estimates of derivatives of bounded functions satisfying second order differential inequalities. (Russian) Differentsial地ye Uravneniya 3 (1967), No. 7, 1043-1052; English transl.: Differ. Equations 3 (1967), 541-546.

  14. A note on the oscillation of solutions of the equation . (Russian) Časop. Pěstov. Mat. 92 (1967), No. 3, 343-350.

  15. Some remarks on the solutions of the equation  (with D. V. Izjumova). (Russian) Differentsial地ye Uravneniya 4 (1968), No. 4, 589-605; English transl.: Differ. Equations 4 (1968), 302-310.

  16. On the monotone solutions of nonlinear n-th order ordinary differential equations. (Russian) Dokl. Akad. Nauk SSSR 181 (1968), No. 5, 1054-1057; English transl.: Sov. Math., Dokl. 9 (1968), 980-983.

  17. On some singular boundary value problems for nonlinear second order ordinary differential equュations. (Russian) Differentsial地ye Uravneniya 4 (1968), No. 10, 1753-1773; English transl.: Differ. Equations 4 (1968), 901-910.

  18. On periodic solutions of nonlinear second order differential equations. Proc. of IV Conf. on Nonlinear Oscillations. Academia, Prague, 1968, 175-180.

  19. On non-negative non-increasing solutions of non-linear second order differential equations. Ann. Mat. Pura ed Appl. 81 (1969), 169-192.

  20. On the singular problem of Nicoletti. (Russian) Dokl. Akad. Nauk SSSR 86 (1969), No. 4, 769-772; English transl.: Sov. Math., Dokl. 10 (1969), 663-666.

  21. On nonoscillation conditions for singular linear second order differential equations. (Russian) Mat. Zametki 6 (1969), No. 5, 633-639. pdf

  22. On monotone solutions of nonlinear n-th order ordinary differential equations. (Russian) Izv. Akad. Nauk SSSR. Ser. Mat. 33 (1969), No. 6, 1373-1398; English transl.: Math. USSR, Izv. 3 (1969), 1293-1317. pdf

  23. On a singular two-point boundary value problem. (Russian) Differentsial地ye Uravneniya 5 (1969), No. 11, 2002-2016; English transl.: Differ. Equations 5 (1969), 1493-1504.

  24. On a singular multi-point boundary value problem. Ann. Mat. Pura Appl. 86 (1970), 367-399.

  25. On oscillatory solutions of nonlinear ordinary differential equations. (Russian) Proc. of 5-th Inュtern. Conf. on Nonlinear Oscillations, 1, Kiev, 1970, 293-298.

  26. On a singular boundary value problem. J. Math. Anal. Appl. 30 (1970), No. 3, 475-489.

  27. On the existence and uniqueness of solutions of singular boundary value problem. Fasc. Math. (1970), No. 5(74), 5-16.

  28. On a singular boundary value problem for the n-th order ordinary differential equation. (Russian) Dokl. Akad. Nauk SSSR 192 (1970), No. 5, 973-975; English transl.: Sov. Math., Dokl. 11 (1970), 755-757.

  29. Remarks on the asymptotic behaviour of solutions of the equation  (with T. A. Chanturia). (Russian) Differentsial地ye Uravneniya 6 (1970), No. 6, 115-117; English transl.: Differ. Equations 6 (1970), 855-857.

  30. On a boundary value problem for a system of two differential equations. (Russian) Proc. Tbilisi Univ. 1(137) A (1971), 77-87.

  31. On a boundary value problem for the system of ordinary differential equations (with M. A. Kakabadze). (Russian) Differentsial地ye Uravneniya 7 (1971), No. 9, 1611-1616; English transl.: Differ. Equations 7 (1971), 1225-1229.

  32. On periodic solutions of the system of ordinary differential equations with singularities. (Russian) Dokl. Akad. Nauk SSSR 198 (1971), No. 2, 286-289; English transl.: Sov. Math., Dokl. 12 (1971), 777-781.

  33. On a singular boundary value problem for an n-th order ordinary differential equation. (Russian) Trudy Inst. Prikl. Mat. Tbiliss. Univ. 3 (1972), 187-206.

  34. Oscillatory solutions for a generalized sublinear second order differential equation (with J. W. Heidel). Proc. Amer. Math. Soc. 38 (1973), No. 1, 80-82.

  35. On oscillation conditions for solutions of nonlinear ordinary differential equations, I. (Russian) Differentsial地ye Uravneniya 10 (1974), No. 8, 1387-1399; English transl.: Differ. Equations 10 (1974), 1073-1082.

  36. On oscillation conditions for solutions of nonlinear ordinary differential equations, II. (Russian) Differentsial地ye Uravneniya 10 (1974), No. 9, 1586-1594; English transl.: Differ. Equations 10 (1974), 1224-1230.

  37. Concerning the solvability of nonlinear two-point boundary value problems (with N. R. Lezhava). (Russian) Mat. Zametki 16 (1974), No. 3, 479-490; English transl.: Math. Notes 16 (1974), 873-880. pdf

  38. Concerning nonoscillatory singular linear second order differential equations (with N. V. Gogiberidze). (Russian) Differentsial地ye Uravneniya 10 (1974), No. 11, 2064-2067; English transl.: Differ. Equations 10 (1974), 1598-1601.

  39. On some nonlinear two-point boundary value problems (with N. R. Lezhava). (Russian) Differentsial地ye Uravneniya 10 (1974), No. 12, 2147-2161; English transl.: Differ. Equations 10 (1974), 1660-1671.

  40. On a singular problem of Cauchy-Nicoletti. Ann. Mat. Pura Appl. 104 (1975), 151-175.

  41. On the modified problem of Cauchy-Nicoletti. Ann. Mat. Pura Appl. 104 (1975), 177-186.

  42. On some boundary value problems for a system of ordinary differential equations (with B. Pů杪). (Russian) Differentsial地ye Uravneniya 12 (1976), No. 12, 2139-2148; English transl.: Differ. Equations 12 (1976), 1493-1500.

  43. On a nonlinear boundary-value problem (with N. R. Lezhava). Function Theoretic Methods in Diff. Equations. Pitman Publ., London, 1976, 259-276.

  44. On the periodic boundary value problem for the two-dimensional differential system. (Russian) Differentsial地ye Uravneniya 13 (1977), No. 6, 996-1007; English transl.: Differ. Equations 13 (1977), 685-694.

  45. On oscillatory and monotone solutions of ordinary differential equations. Arch. Math. 14 (1978), No. 1, 21-44.

  46. On the solvability of a nonlinear Kneser type problem (with I. Rachůnkov). (Russian) Differentsial地ye Uravneniya 15 (1979), No. 10, 1754-1765; English transl.: Differ. Equations 15 (1980), 1248-1256.

  47. On a certain nonlinear problem for two-dimensional differential systems (with I. Rachůnkov). Arch. Math. 15 (1980), No. 1, 15-38.

  48. On asymptotic behaviour of solutions of nonlinear non-autonomous ordinary differential equations. Qual. Theory Differ. Equations, V. 1, Amsterdam e.a., 1981, 507-554.

  49. On strongly increasing solutions of nonlinear ordinary differential equations (with G. G. Kvinikadze). Ann. Math. Pura Appl. 130 (1982), 67-87.

  50. On some singular boundary-value problems for ordinary differential equations. Equadiff 5, Proc. 5 Czech. Conf. Differ. Equations and Appl., Teubner Verlagsgesselschaft, Leipzig, 1982, 174-178.

  51. On numerical solution of two-point boundary value problems for second order ordinary differrential equations (with G. S. Tabidze). (Russian) Trudy Inst. Prikl. Mat. im. I. N. Vekua 14 (1983), 69-127.

  52. On vanishing at infinity solutions of ordinary differential equations. Czechoslovak Math. J. 33 (1983), No. 4, 613-646.

  53. On certain boundary-value problems for second-order linear ordinary differential equations with singularities (with A. G. Lomtatidze). J. Math. Anal. Appl. 101 (1984), No. 2, 325-347.

  54. On two-point boundary value problems for systems of nonlinear ordinary differential equations. (Russian) IX Intern. Conf. in Nonlinear Oscillations, 1, Naukova Dumka, Kiev, 1984, 168-173.

  55. On the stability of the set of solutions of nonlinear boundary value problems (with D. G. Bitsadze). (Russian) Differentsial地ye Uravneniya 20 (1984), No. 9, 1495-1501; English transl.: Differ. Equations 20 (1984), 1073-1078.

  56. On the behaviour of solutions of higher order ordinary differential equations in the neighbourhood of a singular point. (Russian) Differentsial地ye Uravneniya 20 (1984), No. 10, 1703-1709; English transl.: Differ. Equations 20 (1984), 1216-1221.

  57. On a multi-point boundary value problem for systems of ordinary differential equations. Trudy Tbiliss. Univ. 259 (1984), 110-121.

  58. On bounded and periodic solutions of linear higher order differential equations. (Russian) Mat. Zametki 37 (1985), No. 1, 48-62; English transl.: Math. Notes 37 (1985), 28-36. pdf

  59. On a priori estimates of solutions of nonlinear higher order differential inequalities. (Russian) Differentsial地ye Uravneniya 21 (1985), No. 2, 198-213; English transl.: Differ. Equations 21 (1985), 136-149.

  60. On the solvability of the Vall馥-Poussin problem. (Russian) Differentsial地ye Uravneniya 21 (1985), No. 3, 391-398; English transl.: Differ. Equations 21 (1985), 249-255.

  61. On oscillatory properties of a class of differential equations with deviating argument (with D. V. Izjumova). (Russian) Differentsial地ye Uravneniya 21 (1985), No. 4, 588-596; English transl.: Differ. Equations 21 (1985), 384-391.

  62. On periodic solutions of systems of nonautonomous ordinary differential equations. (Russian) Mat. Zametki 39 (1986), No. 4, 562-575; English transl.: Math. Notes 39 (1986), 308-315. pdf

  63. On a boundary value problem with a condition at infinity for higher order ordinary differential equations. (Russian) Trudy Vsesojuznogo Simpoziuma po Diff. Uravnenijam v Chastnykh Proizvodnykh, Tbilis. Univ. Press, Tbilisi, 1986, 91-105.

  64. On some boundary value problems for systems of nonlinear ordinary differential equations. Equadiff 7, Proceedings of the Conference held in Prague, 1989. Teubner Verlagsgessellschaft, Leipzig, 1990, 37-46.

  65. On the Kneser problem for functional differential equations (with D. I. Chichua). (Russian) Differentsial地ye Uravneniya 27 (1991), No. 11, 1879-1892; English transl.: Differ. Equations 27 (1991), No. 11, 1322-1335.

  66. An oscillation criterion for a class of ordinary differential equations. (Russian) Differentsial地ye Uravneniya 28 (1992), No. 2, 207-219; English transl.: Differ. Equations 28 (1992), No. 2, 180-190.

  67. On the two-point boundary value problems for systems of higher order ordinary differential equations with singularities (with G. Tskhovrebadze). Georgian Math. J. 1 (1994), No. 1, 31-45.

  68. On some properties of solutions of second order linear functional differential equations. Georgian Math. J. 1 (1994), No. 5, 487-494.

  69. On asymptotic properties of solutions of third order linear differential equations with deviating arguments. Arch. Math. 30 (1994), No. 1, 59-72.

  70. On some boundary value problems with integral conditions for functional differential equations (with D. Chichua). Georgian Math. J. 2 (1995), No. 2, 165-188.

  71. On proper oscillatory and vanishing at infinity solutions of differential equations with a deviating argument (with D. Chichua). Georgian Math. J. 2 (1995), No. 4, 395-418.

  72. Concerning the uniqueness of solution of the Cauchy problem for functional differential equations (with Z. Sokhadze). (Russian) Differentsial地ye Uravneniya 31 (1995), No. 12, 1977-1988; English transl.: Differ. Equations 31 (1995), No. 12, 1947-1958.

  73. On the singular Cauchy problem for systems of linear ordinary differential equations. (Russian) Differentsial地ye Uravneniya 32 (1996), No. 2, 215-223; English transl.: Differ. Equations 32 (1996), No. 2, 173-180.

  74. On the correctness of Cauchy problem for the linear differential system on an infinite interval. Georgian Math. J. 3 (1996), No. 5, 475-484.

  75. On a certain singular boundary value problem for linear differential equations with deviating arguments (with B. Pů杪). Czechoslovak Math. J. 47 (1997), No. 2, 233-244.

  76. On boundary value problems for systems of linear functional differential equations (with B.Pů杪). Czechoslovak Math. J. 47 (1997), No. 2, 341-373.

  77. On the Vall馥-Poussin problem for singular differential equations with deviating arguments (with B. Pů杪). Arch. Math. 33 (1997), No. 1-2, 127-138.

  78. On periodic solutions of systems of linear functional differential equations (with B.Pů杪). Arch. Math. 33 (1997), No. 3, 197-212.

  79. On the Cauchy problem for singular evolution functional differential equations (with Z. Sokhadze). (Russian) Differentsial地ye Uravneniya 33 (1997), No. 1, 48-59; English transl.: Differ. Equations 33 (1997), No. 1, 47-58.

  80. Conti-Opial type theorems for systems of functional differential equations (with B. Pů杪). (Russian) Differentsial地ye Uravneniya 33 (1997), No. 2, 185-194; English transl.: Differ. Equations 33 (1997), No. 2, 184-193.

  81. On singular functional differential inequalities (with Z. Sokhadze). Georgian Math. J. 4 (1997), No. 3, 259-278.

  82. On global solvability of the Cauchy problem for singular functional differential equations (with Z. Sokhadze). Georgian Math. J. 4 (1997), No. 4, 355-372.

  83. On systems of ordinary differential equations and differential inequalities with multi-point boundary conditions. (Russian) Differentsial地ye Uravneniya 33 (1997), No. 5, 646-652; English transl.: Differ. Equations 33 (1997), No. 5, 649-655.

  84. On boundary value problems for functional differential equations (with B. Pů杪). Mem. Differential Equations Math. Phys. 12 (1997), 106-113. pdf

  85. On the solvability of nonlinear boundary value problems for functional differential equations (with B. Pů杪). Georgian Math. J. 5 (1998), No. 3, 251-262.

  86. On existence of proper oscillatory solutions of advanced differential equations (with I. P. Stavroulakis). (Russian) Differentsial地ye Uravneniya 34 (1998), No. 6, 751-757; English transl.: Differ. Equations 34 (1998), No. 6, 748-754.

  87. On the structure of the set of solutions of the weighted Cauchy problem for evolution singular functional differential equations (with Z. Sokhadze). Fasc. Math., 1998, No. 28, 71-92.

  88. On vanishing at infinity solutions of second order linear differential equations with advanced arguments (with Z. Do嗟). Funkcial. Ekvac. 41 (1998), No.2, 189-205.

  89. On the oscillation of solutions of higher order Emden-Fowler advanced differential equations (with I. P. Stavroulakis). Appl. Anal. 70 (1998), No. 1-2, 97-112.

  90. On periodic solutions of nonlinear functional differential equations (with B. Pů杪). Georgian Math. J. 6 (1999), No. 1, 47-66.

  91. On periodic solutions of higher order nonautonomous ordinary differential equations (with T. Kusano). Differentsial地ye Uravneniya 35 (1999), No. 1, 72-78; English transl.: Differ. Equations 35 (1999), No. 1, 71-77.

  92. On boundedness and stability of solutions of second order linear differential equations with advanced arguments (with Z. Do嗟). Adv. Math. Sci. Appl. 9 (1999), No. 1, 1-24.

  93. On nonnegative solutions of nonlinear two-point boundary value problems for two-dimensional differential systems with advanced arguments (with N. Partsvania). E. J. Qualitative Theory of Diff. Equ., 1999, No. 5, 1-22.

  94. On periodic solutions of nth order ordinary differential equations. Nonlinear Anal. 40 (2000), No. 1-8, 309-321.

  95. On periodic solutions of systems of differential equations with deviating arguments (with B. Pů杪). Nonlinear Anal. 42 (2000), No. 2, 229-242. pdf

  96. Upper and lower solutions of boundary value problems for functional differential equations and theorems on functional differential inequalities (with R. Hakl and B. Pů杪). Georgian Math. J. 7 (2000), No. 3, 489-512.

  97. On Kneser solutions of the Emden-Fowler differential equation with a negative exponent. Tr. In-ta matematiki NAN Belarusi 4 (2000), 69-77.

  98. On conditions for the existence and uniqueness of periodic solutions of nonautonomous differrential equations (with T. Kusano). (Russian) Differentsial地ye Uravneniya 36 (2000), No. 10, 1301-1306; English transl.: Differ. Equations 36 (2000), No. 10, 1436-1442.

  99. On blow-up Kneser solutions of higher order nonlinear differential equations. (Russian) Differentsial地ye Uravneniya 37 (2001), No. 6, 735-743; English transl.: Differ. Equations 37 (2001), No. 6, 768-777.

  100. On periodic solutions of even-order ordinary differential equations (with T. Kusano). Ann. Mat. Pura Appl. 180 (2001), No. 3, 285-301.

  101. On singular boundary value problems for functional differential equations of higher order (with B. Pů杪 and I. P. Stavroulakis). Georgian Math. J. 8 (2001), No. 4, 791-814.

  102. On periodic boundary value problem for the equation  with one-sided growth restrictions on f (with S. Staněk). Nonlinear Anal. 48 (2002), No. 7, 1065-1075.

  103. On the Kneser problem for two-dimensional differential systems with advanced arguments (with N. Partsvania). J. Inequal. Appl. 7 (2002), No. 4, 453-477. pdf

  104. On oscillatory properties of higher order advanced functional differential equations (with N. Partsvania and I. P. Stavroulakis). (Russian) Differentsial地ye Uravneniya 38 (2002), No. 8, 1030-1041; English transl.: Differ. Equations 38 (2002), No. 8, 1095-1107. pdf_russian, pdf_english

  105. Conti-Opial type existence and uniqueness theorems for nonlinear singular boundary value problems (with B. Pů杪). Funct. Differ. Equ. 9 (2002), No. 3-4, 405-422.

  106. On boundary value problems for linear differential systems with singularities. (Russian) Differentsial地ye Uravneniya 39 (2003), No. 2, 198-209; English. transl.: Differ Equations 39 (2003), No. 2, 212-225. pdf

  107. Some optimal conditions for the solvability of two-point singular boundary value problems. Funct. Differ. Equ. 10 (2003), No. 1-2, 259-281. pdf

  108. On periodic type solutions of systems of linear ordinary differential equations. Abstr. Appl. Anal. (2004), No. 5, 395-406. pdf

  109. On nonlinear boundary value problems for two-dimensional differential systems (with S. Mukhigulashvili). (Russian) Differentsial地ye Uravneniya 40 (2004), No. 6, 747-755; English transl.: Differ. Equations 40 (2004), No. 6, 797-806. pdf_russian, pdf_english

  110. On multi-point boundary value problems for linear ordinary differential equations with singularities (with R. Agarwal). J. Math. Anal. Appl. 297 (2004), 131-151. pdf

  111. On two-point boundary value problems for higher order singular ordinary differential equations. Mem. Differential Equations Math. Phys. 32 (2004), 101-107. pdf

  112. On periodic solutions of two-dimensional nonautonomous differential systems (with S. Mukhigulashvili). Nonlinear Anal. 60 (2005), No. 2, 241-256. pdf

  113. On two-point boundary value problems for second order singular functional differential equations (with B. Pů杪). Functional Differential Equations 12 (2005), No. 3-4, 271-294. pdf

  114. On some boundary value problems for fourth order functional differential equations (with B. Pů杪). Mem. Differential Equations Math. Phys. 35 (2005), 55-64. pdf

  115. On the unique solvability of a periodic boundary value problem for third order linear differential equations (with S. Baslandze). (Russian) Differentsial地ye Uravneniya 42 (2006), No. 2, 153-158; English transl.: Differential Equations 42 (2006), No. 2, 165-171. pdf_russian, pdf_english

  116. Two-point boundary value problems for higher-order linear differential equations with strong singularities (with R. P. Agarwal). Boundary Value Problems 2006, 1-32; Article ID 83910. pdf

  117. On nonlinear boundary value problems for higher order ordinary differential equations. Proceedings of the Conference on Differential & Difference Equations and Applications, Hindawi Publ. Corp., 2006, 529-540. pdf

  118. On a priori estimates of solutions of systems of higher order nonlinear functional-differential inequalities (with N. Partsvania). Georgian Math. J. 14 (2007), No. 3, 445-456.

  119. A priori estimates of solutions of systems of functional differential inequalities, and some of their applications (with Z. Sokhadze). Mem. Differential Equations Math. Phys. 41 (2007), 43-67. pdf

  120. On nonnegative solutions of singular boundary value problems for Emden-Fowler-type differential systems (with M. Cecchi, Z. Dosla, and M. Marini). Differential and Integral Equations 20 (2007), No. 10, 1081-1106. pdf

  121. On solvability of boundary value problems for higher order nonlinear hyperbolic equations (with T. Kiguradze). J. Nonlinear Analysis: Theory, Methods & Applications 69 (2008), 1914-1933. pdf

  122. On a resonance periodic problem for non-autonomous high order differential equations. (Russian) Differentsial地ye Uravneniya 44 (2008), No. 8, 1022-1032; English transl.: Differential Equations 44 (2008), No. 8, 1053-1063. pdf_russian, pdf_english

  123. On solvability conditions for nonlinear operator equations. Mathematical and Computer Modelling 48 (2008), No. 11-12, 1914-1924. pdf

  124. On periodic solutions of higher order functional differential equations (with N. Partsvania and B. Pů杪). Boundary Value Problems 2008, ID 389028, 18pp. pdf

  125. Beurling-Borg type theorem for two-dimensional linear differential systems. Georgian Math. J. 15 (2008), No. 4, 677-682.

  126. Second-order nonlinear differential equations with infinite set of periodic solutions. Nonlinear Oscillations 11 (2008), No. 4, 521-526. pdf

  127. The Neumann problem for the second order nonlinear ordinary differential equations at resonance. Functional Differential Equations 16 (2009), No. 2. 353-371. pdf

  128. Bounded and vanishing at infinity solutions of nonlinear differential systems. Georgian Math. J. 16 (2009), No. 4, 711-724.

  129. On boundary value problems with conditions at infinity for nonlinear differential systems. Nonlinear Analysis: Theory, Methods & Applications 71 (2009), 1503-1512. pdf

  130. Periodic solutions of nonautonomous ordinary differential equations (with A. Lomtatidze). Monatsh. Math. 159 (2010), No. 3, 235-252. pdf

  131. Optimal conditions of solvability and unsolvability of nonlocal problems for essentially nonlinear differential systems. Comm. Math. Anal. 8 (2010), No. 3, 92-01. pdf

  132. Optimal conditions of solvability of nonlocal problems for second-order ordinary differential equations (with T. Kiguradze). Nonlinear Anal. 74 (2011), No. 3, 757-767. pdf

  133. Conditions for the well-posedness of nonlocal probュlems for second-order linear differential equations (with T. Kiguradze). (Russian) Differentsial地ye Uravneniya 47 (2011), No. 10, 1400-1411; English transl.: Differ. Equ. 47 (2011), No. 10, 1414-1425. pdf_russian, pdf_english

  134. Conditions for well-posedness of nonlocal problems for higher order linear differential equations with singularities (with T. Kiguradze). Georgian Math. J. 18 (2011), No. 4, 735-760.

  135. Solvability conditions for non-local boundary value problems for two-dimensional half-linear differential systems (with J. 較emr). Nonlinear Anal. 74 (2011), 6537-6552. pdf

  136. The Dirichlet and focal boundary value problems for higher order quasi-half linear singular differential equations. Mem. Differential Equations Math. Phys. 54 (2011), 126-133. pdf

  137. Some multi-point boundary value problems for second order singular differential equations (with A. Lomtatidze and N. Partsvania). Mem. Differential Equations Math. Phys. 56 (2012), 133-141. pdf

  138. On nonlocal problems with nonlinear boundary conditions for singular ordinary differential equations. Mem. Differential Equations Math. Phys. 59 (2013), 113-119. pdf

  139. The Cauchy problem for singular in phase variables nonlinear ordinary differential equations. Georgian Math. J. 20 (2013), No. 4, 707-720.

  140. A priori estimates of solutions of nonlinear boundary value problems for singular in a phase variable second order differential inequalities. Georgian Math. J. 21 (2014), No. 2, 211-224.

  141. Nonlinear nonlocal problems for second order singular in a phase variable differential equations. (Russian)  Differentsial地ye Uravneniya  50 (2014), 1018-1034; English transl.: Differ. Equ. 50 (2014), No. 3, 1025-1041. pdf_russian, pdf_english

  142. Positive solutions of periodic type boundary value problems for first order singular functional differential equations (with Z. Sokhadze). Georgian Math. J. 21 (2014), No. 3, 303-311.

  143. A priori estimates of solutions of nonlinear boundary value problems for singular in phase variables higher order differential inequalities and systems of differential inequalities. Mem. Differential Equations Math. Phys. 63 (2014), 105-121. pdf

  144. On nonlinear boundary value problems for higher order functional differential equations (with Z. Sokhadze). Georgian Math. J. 23 (2016), No. 4, 537-550.

  145. On a boundary value problem on an infinite interval for nonlinear functional differential equations (with Z. Sokhadze). Georgian Math. J. 24 (2017), No. 2, 217-225.

  146. On an analogue of Fredholm's theorem for nonlinear differential equations of higher order (with T. Kiguradze). (Russian) Differ. Uravn. 53 (2017), No. 8, 1024-1032; English transl.: Differ. Equ. 53 (2017), No. 8, 996-1004.