International Black Sea University

Nino Partsvania

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Nino Partsvania

E-mail: npartsvania@ibsu.edu.ge

I graduated from the Mechanics and Mathematics Faculty of I. Javakhishvili Tbilisi State University (1988-1993) with honours. In 1993-1996, I was a post-graduate student at A. Razmadze Mathematical Institute of the Georgian Academy of Sciences. In 1999, I defended my thesis and received the Degree of Candidate of Physical & Mathematical Sciences (Ph. D. in Mathematics) at A. Razmadze Mathematical Institute. In 2002, I obtained a certificate of an Associate Professor (Docent) at I. Javakhishvili Tbilisi State University. Since 2001 I am a researcher (in 2001-2017 – senior researcher and since 2018 – chief researcher) at A. Razmadze Mathematical Institute of I. Javakhishvili Tbilisi State University, and since 2006 I have been holding the post of Director of the same institute. Since 2006, I am a Professor at International Black Sea University. Since 2018, I have been a visiting specialist at the Georgian Aviation University. In 1996-2006, I was an Academic Secretary of A. Razmadze Mathematical Institute of the Georgian Academy of Sciences. In 2000-2005, I was an Associate Professor (Docent) at the Department of Higher Mathematics of the Faculty of Physics at I. Javakhishvili Tbilisi State University, and in 2006-2009 – a Visiting Professor at Georgian American University. 

Within the framework of the fellowship of Development Foundation of Czech Universities, I carried out scientific activities at Masaryk University (Brno, Czech Republic, October-December, 1999).

Within the framework of the research grant from the Greek Ministry of Development, I carried out scientific activities at the Department of Mathematics of the University of Ioannina (Ioannina, Greece, February-April, 2001).

Within the framework of the research grant from the Italian Ministry of Foreign Affairs, I carried out scientific activities at the Faculty of Engineering Sciences and Methods of the University of Modena and Reggio Emilia (Reggio Emilia, Italy, February-May, 2003).

I have obtained 16 fellowships and research grants, participated in more than 60 international scientific conferences, and published 53 research papers.

  • 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.
  • 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.
  • 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.
  • Two-point boundary value problems for singular two-dimensional linear differential systems. Trans. A. Razmadze Math. Inst. 174 (2020), No. 3, 423-427.
  • 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.
  • 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.
  • 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.
  • On oscillatory and monotone solutions of nonlinear functional differential systems. Mem. Differential Equations Math. Phys. 69 (2016), 129-133.
  • 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.
  • 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.
  • 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.
  • On positive solutions of nonlinear boundary value problems for singular in phase variables two-dimensional differential systems (with B. Půža). Mem. Differential Equations Math. Phys. 63 (2014), 151-156.
  • The nonlinear Kneser problem for singular in phase variables second-order differential equations (with B. Půža). Boundary Value Problems 2014, 2014:147; doi: 10.1186/s13661-014-0147-x (http://www.boundaryvalueproblems.com/content/2014/1/147).
  • On a nonlocal boundary value problem for two-dimensional nonlinear singular differential systems. Mem. Differential Equations Math. Phys. 59 (2013), 121-125.
  • On two-point boundary value problems for two-dimensional nonlinear differential systems with strong singularities. Mem. Differential Equations Math. Phys. 58 (2013), 147-152.
  • 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.
  • 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).
  • 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.
  • On solvability and well-posedness of two-point weighted singular boundary value problems. Mem. Differential Equations Math. Phys. 54 (2011), 139-146.
  • 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.
  • 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.
  • Nonlocal boundary value problems for two-dimensional linear differential systems with strong singularities. Proc. A. Razmadze Math. Inst. 155 (2011), 162-165.
  • On a periodic problem for higher-order differential equations with a deviating argument (with S. Mukhigulashvili and B. Půža). Nonlinear Analysis: Theory, Methods & Applications 74 (2011), No. 10, 3232-3241; doi:10.1016/j.na.2011.02.002.
  • 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.
  • On two-point boundary value problems for two-dimensional linear differential systems with singular coefficients. Mem. Differential Equations Math. Phys. 51 (2010), 155-162.
  • A resonance periodic problem for differential equations with deviating arguments (with B. Půža). (Russian) Differentsial’nye Uravneniya 46 (2010), No. 6, 906-908; English transl. in: Differ. Equations 46 (2010), No. 6, 916-918.
  • Oscillatory properties of second order nonlinear differential equations (with Z. Došlá). Rokcy Mountain Journal of Mathematics 40 (2010), No. 2, 445-470.
  • 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.
  • Oscillation theorems for second order nonlinear differential equations (with Z. Došlá). Nonlinear Analysis: Theory, Methods & Applications 71 (2009), No. 12, e1649-e1658; doi:10.1016/j.na.2009.02.007.
  • 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.
  • On one problem with the condition at infinity for second order singular ordinary differential equations. Georgian Math. J. 15 (2008), No. 4, 753-758.
  • On periodic solutions of higher-order functional differential equations (with I. Kiguradze and B. Půža). Boundary Value Problems 2008, 1-18; Article ID 389028.
  • 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.
  • On a periodic boundary value problem for nonlinear differential equations with deviating arguments (with B. Půža). (Russian) Differentsial’nye Uravneniya 43 (2007), No. 11, 1578-1579; English transl. in: Differ. Equations 43 (2007), No. 11, 1621-1623.
  1. 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.
  • 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.
  • 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.
  • On minimal and maximal solutions of two-point singular boundary value problems (with I. Kiguradze). Mem. Differential Equations Math. Phys. 36 (2005), 147-152.
  • 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.
  • 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.
  • On lower and upper solutions of the Kneser problem (with I. Kiguradze). Mem. Differential Equations Math. Phys. 32 (2004), 155-158.
  • On vanishing at infinity solutions of second order differential equations (with I. Kiguradze). Mem. Differential Equations Math. Phys. 32 (2004), 129-135.
  • On the Kneser problem for two-dimensional differential systems with advanced arguments (with I. Kiguradze). J. Inequal. Appl. 7 (2002), No. 4, 453-477.
  • 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.
  • 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.
  • 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.
  • On a boundary value problem for the two-dimensional system of evolution functional differential equations. Mem. Differential Equations Math. Phys. 20 (2000), 154-158.
  • 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).
  • 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.
  • On oscillatory properties of second order systems of ordinary differential equations (with A. Lomtatidze). Mem. Differential Equations Math. Phys. 5 (1995), 122-124.

სალექციო კურსების კატალოგი

  • Mathematics 1
  • Mathematics 2

EDITORIAL ACTIVITIES

AWARDS

  • Certificate of Honor of the Georgian National Academy of Sciences for scientific achievements in the field of Mathematics (in connection with the International Day for Women and Girls in Science established by the United Nation) – 2017.
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