MAIN PUBLICATIONS

  1. On oscillatory properties of second order systems of ordinary differential equations (with A. Lomtatidze). Mem. Differential Equations Math. Phys. 5 (1995), 122-124.
  2. Oscillation and nonoscillation criteria for two-dimensional systems of first order linear ordinary differential equations (with A. Lomtatidze). Georgian Math. J. 6 (1999), No. 3, 285-298.
  3. On nonnegative solutions of nonlinear two-point boundary value problems for two-dimensional differential systems with advanced arguments (with I. Kiguradze). E. J. Qualitative Theory of Diff. Equ., 1999, No. 5, 1-22 (http://www.math.u-szeged.hu/ejqtde/1999/199905.html).
  4. On a boundary value problem for the two-dimensional system of evolution functional differential equations. Mem. Differential Equations Math. Phys. 20 (2000), 154-158.
  5. On advanced functional differential equations with properties A and B (with I. Kiguradze and I. P. Stavroulakis). Mem. Differential Equations Math. Phys. 24 (2001), 146-150.
  6. On oscillatory solutions of nonlinear differential equations with advanced arguments (with I. Kiguradze and I. P. Stavroulakis). Mem. Differential Equations Math. Phys. 25 (2002), 156-158.
  7. Oscillatory properties of higher-order advance functional-differential equations (with I. Kiguradze and I. P. Stavroulakis). (Russian) Differentsial'nye Uravneniya 38 (2002), No. 8, 1030-1041; English transl. in: Differ. Equations 38 (2002), No. 8, 1095-1107.
  8. On the Kneser problem for two-dimensional differential systems with advanced arguments (with I. Kiguradze). J. Inequal. Appl. 7 (2002), No. 4, 453-477.
  9. On vanishing at infinity solutions of second order differential equations (with I. Kiguradze). Mem. Differential Equations Math. Phys. 32 (2004), 129-135.
  10. On lower and upper solutions of the Kneser problem (with I. Kiguradze). Mem. Differential Equations Math. Phys. 32 (2004), 155-158.
  11. Oscillation properties of first order neutral differential equations near the critical states (with Y. Domshlak and I. P. Stavroulakis). Nonlinear Funct. Anal. & Appl. 9 (2004), No. 2, 173-184.
  12. On transitional solutions of second order nonlinear differential equations (with L. Malaguti and C. Marcelli). J. Math. Anal. Appl. 303 (2005), No. 1, 258-273.
  13. On minimal and maximal solutions of two-point singular boundary value problems (with I. Kiguradze). Mem. Differential Equations Math. Phys. 36 (2005), 147-152.
  14. On bounded solutions of nonlinear nonstationary second-order differential equations. (Russian) Differentsial'nye Uravneniya 42 (2006), No. 11, 1579-1580; English transl. in: Differ. Equations 42 (2006), No. 11, 1655-1656.
  15. On the solvability of boundary value problems for nonlinear second-order differential equations. (Russian) Differentsial'nye Uravneniya 43 (2007), No. 2, 275-277; English transl. in: Differ. Equations 43 (2007), No. 2, 286-289.
  16. On a priori estimates of solutions of systems of higher order nonlinear functional-differential inequalities (with I. Kiguradze). Georgian Math. J. 14 (2007), No. 3, 445-456.
  17. On a periodic boundary value problem for nonlinear differential equations with deviating arguments (with B. Puza). (Russian) Differentsial'nye Uravneniya 43 (2007), No. 11, 1578-1579; English transl. in: Differ. Equations 43 (2007), No. 11, 1621-1623.
  18. On the solvability of boundary value problems for nonlinear differential systems. (Russian) Differentsial'nye Uravneniya 44 (2008), No. 2, 211-216; English transl. in: Differ. Equations 44 (2008), No. 2, 219-225.
  19. On periodic solutions of higher-order functional differential equations (with I. Kiguradze and B. Puza). Boundary Value Problems 2008, 1-18; Article ID 389028.
  20. On one problem with the condition at infinity for second order singular ordinary differential equations. Georgian Math. J. 15 (2008), No. 4, 753-758.
  21. On a certain nonlocal resonance problem for nonlinear second-order differential equations (with I. Kiguradze). (Russian) Differentsial'nye Uravneniya 44 (2008), No. 11, 1583-1584; English transl. in: Differ. Equations 44 (2008), No. 11, 1647-1649.
  22. Oscillation theorems for second order nonlinear differential equations (with Z. Dosla). Nonlinear Analysis: Theory, Methods & Applications 71 (2009), No. 12, e1649-e1658; doi:10.1016/j.na.2009.02.007.
  23. Problem on transient solutions for nonlinear differential equations of the second order. (Russian) Differentsial'nye Uravneniya 45 (2009), No. 6, 904-906; English transl. in: Differ. Equations 45 (2009), No. 6, 924-926.
  24. Oscillatory properties of second order nonlinear differential equations (with Z. Dosla). Rokcy Mountain Journal of Mathematics 40 (2010), No. 2, 445-470.
  25. A resonance periodic problem for differential equations with deviating arguments (with B. Puza). (Russian) Differentsial'nye Uravneniya 46 (2010), No. 6, 906-908; English transl. in: Differ. Equations 46 (2010), No. 6, 916-918.
  26. On two-point boundary value problems for two-dimensional linear differential systems with singular coefficients. Mem. Differential Equations Math. Phys. 51 (2010), 155-162.
  27. A priori estimates of solutions of boundary value problems for two-dimensional systems of singular differential inequalities. Georgian Math. J. 18 (2011), No. 1, 163-175; doi:10.1515/GMJ.2011.0010.
  28. On a periodic problem for higher-order differential equations with a deviating argument (with S. Mukhigulashvili and B. Puza). Nonlinear Analysis: Theory, Methods & Applications 74 (2011), No. 10, 3232-3241; doi:10.1016/j.na.2011.02.002.
  29. Nonlocal boundary value problems for two-dimensional linear differential systems with strong singularities. Proc. A. Razmadze Math. Inst. 155 (2011), 162-165.
  30. On extremal solutions of two-point boundary value problems for second order nonlinear singular differential equations. Bull. Georg. Natl. Acad. Sci. 5 (2011), No. 2, 31-36.
  31. On two-point boundary value problems for higher order functional differential equations with strong singularities (with S. Mukhigulashvili). Mem. Differential Equations Math. Phys. 54 (2011), 134-138.
  32. On solvability and well-posedness of two-point weighted singular boundary value problems. Mem. Differential Equations Math. Phys. 54 (2011), 139-146.
  33. Some multi-point boundary value problems for second order singular differential equations (with I. Kiguradze and A. Lomtatidze). Mem. Differential Equations Math. Phys. 56 (2012), 133-141.
  34. Two-point boundary value problems for strongly singular higher-order linear differential equations with deviating arguments (with S. Mukhigulashvili). E. J. Qualitative Theory of Diff. Equ., 2012, No. 38, 1-34 (http://www.math.u-szeged.hu/ejqtde/p1045.pdf).
  35. On one estimate for solutions of two-point boundary value problems for higher-order strongly singular linear differential equations (with S. Mukhigulashvili). Mem. Differential Equations Math. Phys. 58 (2013), 65-77.
  36. On two-point boundary value problems for two-dimensional nonlinear differential systems with strong singularities. Mem. Differential Equations Math. Phys. 58 (2013), 147-152.
  37. On a nonlocal boundary value problem for two-dimensional nonlinear singular differential systems. Mem. Differential Equations Math. Phys. 59 (2013), 121-125.
  38. The nonlinear Kneser problem for singular in phase variables second-order differential equations (with B. Puza). Boundary Value Problems 2014, 2014:147; doi: 10.1186/s13661-014-0147-x (http://www.boundaryvalueproblems.com/content/2014/1/147).
  39. On positive solutions of nonlinear boundary value problems for singular in phase variables two-dimensional differential systems (with B. Puza). Mem. Differential Equations Math. Phys. 63 (2014), 151-156.
  40. Boundary value problems on an infinite interval for singular in phase variables two-dimensional differential systems. Bull. Georg. Natl. Acad. Sci. 9 (2015), No. 2, 13-18.
  41. On some nonlinear boundary value problems on a finite and an infinite intervals for systems of functional differential equations. Mem. Differential Equations Math. Phys. 67 (2016), 137-140.
  42. Oscillatory and monotone solutions of first-order nonlinear delay differential equations (with Z. Sokhadze). Georgian Math. J. 23 (2016), No. 2, 269-277; doi: 10.1515/gmj-2016-0015.
  43. On oscillatory and monotone solutions of nonlinear functional differential systems. Mem. Differential Equations Math. Phys. 69 (2016), 129-133.
  44. On some nonlocal boundary value problems for nonlinear ordinary differential equations with delay. Researches in Mathematics and Mechanics 22 (2017), No. 2(30), 116-121.
  45. Some optimal conditions for the solvability and unique solvability of the two-point Neumann problem (with I. Kiguradze). Mem. Differential Equations Math. Phys. 75 (2018), 115-128.
  46. The weighted right focal boundary value problem for second order singular in the time variable functional differential equations. Trans. A. Razmadze Math. Inst. 173 (2019), No. 2, 157-160.
  47. Two-point boundary value problems for singular two-dimensional linear differential systems. Trans. A. Razmadze Math. Inst. 174 (2020), No. 3, 423-427.
  48. Some optimal conditions for the unique solvability of the Dirichlet problem for second order singular linear differential equations with a deviating argument. Trans. A. Razmadze Math. Inst. 175 (2021), No. 3, 455-459.
  49. The Cauchy weighted problem for singular in time and phase variables higher order delay differential equations (with I. Kiguradze). Mem. Differential Equations Math. Phys. 87 (2022), 63-76.
  50. Optimal conditions for the solvability of the Cauchy weighted problem for higher order singular in time and phase variables ordinary differential equations. REPORTS OF QUALITDE 1 (2022), 169-173; https://rmi.tsu.ge/eng/QUALITDE-2022/Reports_workshop_2022.pdf.
  51. Rapidly growing and blow-up solutions to higher order nonlinear delay ordinary differential equations (with I. Kiguradze). Mem. Differential Equations Math. Phys. 90 (2023), 39-54.
  52. Rapidly growing solutions to two-dimensional nonlinear differential systems. REPORTS OF QUALITDE 2 (2023), 154-158; https://rmi.tsu.ge/eng/QUALITDE-2023/Reports_QUALITDE_2023.pdf  (E ISSN 1512-3391).