{"id":52211,"date":"2025-01-29T16:23:33","date_gmt":"2025-01-29T12:23:33","guid":{"rendered":"https:\/\/ibsu.edu.ge\/?page_id=52211"},"modified":"2025-05-19T15:40:52","modified_gmt":"2025-05-19T11:40:52","slug":"nino-partsvania","status":"publish","type":"page","link":"https:\/\/ibsu.edu.ge\/en\/schools\/school-of-business\/lecturers\/nino-partsvania\/","title":{"rendered":"Nino Partsvania"},"content":{"rendered":"

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  1. \r\n \r\n \r\n \r\n \r\n <\/i>Home <\/a>\r\n <\/span>\r\n \r\n <\/li>
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  3. Nino Partsvania<\/span><\/li>\t\t\t\t\t<\/ol>\r\n\t\t\t\t\t
    <\/div>\r\n\t\t\t\t<\/div>\r\n\t\t\t<\/div>\r\n\t\t\t[\/vc_column_text][\/vc_column][\/vc_row][vc_row el_class=”single-personal”][vc_column width=”1\/4″ el_class=”bio”][vc_column_text el_class=”margin-top-20″]<\/p>\n

    Nino Partsvania<\/h4>\n

    E-mail: npartsvania@ibsu.edu.ge<\/a>[\/vc_column_text][\/vc_column][vc_column width=”3\/4″][vc_tabs][vc_tab title=”About” tab_id=”1730700380-1-33″][vc_column_text]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 \u2013 senior researcher and since 2018 \u2013 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 <\/span>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.\u00a0<\/span><\/p>\n

    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).<\/span><\/p>\n

    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).<\/span><\/p>\n

    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).<\/span><\/p>\n

    I have obtained 16 fellowships and research grants, participated in more than 60 international scientific conferences, and published 53 research papers.<\/span>[\/vc_column_text][\/vc_tab][vc_tab title=”Publications” tab_id=”1730702471047-2-3″][vc_column_text]<\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
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    • Rapidly growing and blow-up solutions to higher order nonlinear delay ordinary differential equations (with I. Kiguradze). <\/span>Mem. Differential Equations Math. Phys.<\/span><\/i> 90<\/b> (2023), 39-54.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • The Cauchy weighted problem for singular in time and phase variables higher order delay differential equations (with I. Kiguradze). <\/span>Mem. Differential Equations Math. Phys.<\/span><\/i> 87<\/b> (2022), 63-76.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • Some optimal conditions for the unique solvability of the Dirichlet problem for second order singular linear differential equations with a deviating argument. <\/span>Trans. A. Razmadze Math. Inst. <\/span><\/i>175<\/b> (2021), No. 3, 455-459.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • Two-point boundary value problems for singular two-dimensional linear differential systems. <\/span>Trans. A. Razmadze Math. Inst. <\/span><\/i>174<\/b> (2020), No. 3, 423-427.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • The weighted right focal boundary value problem for second order singular in the time variable functional differential equations. <\/span>Trans. A. Razmadze Math. Inst. <\/span><\/i>173<\/b> (2019), No. 2, 157-160.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • Some optimal conditions for the solvability and unique solvability of the two-point Neumann problem (with I. Kiguradze). <\/span>Mem. Differential Equations Math. Phys.<\/span><\/i> 75<\/b> (2018), 115-128.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • On some nonlocal boundary value problems for nonlinear ordinary differential equations with delay. <\/span>Researches in Mathematics and Mechanics <\/span><\/i>22 <\/b>(2017), No. 2(30), 116-121.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • On oscillatory and monotone solutions of nonlinear functional differential systems. <\/span>Mem. Differential Equations Math. Phys.<\/span><\/i> 69<\/b> (2016), 129-133.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • Oscillatory and monotone solutions of first-order nonlinear delay differential equations (with Z. Sokhadze). <\/span>Georgian Math. J.<\/span><\/i> 23 <\/b>(2016), No. 2, 269-277; doi: 10.1515\/gmj-2016-0015.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • On some nonlinear boundary value problems on a finite and an infinite intervals for systems of functional differential equations. <\/span>Mem. Differential Equations Math. Phys.<\/span><\/i> 67<\/b> (2016), 137-140.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • Boundary value problems on an infinite interval for singular in phase variables two-dimensional differential systems. <\/span>Bull. Georg. Natl. Acad. Sci. <\/span><\/i>9<\/b> (2015), No. 2, 13-18.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • On positive solutions of nonlinear boundary value problems for singular in phase variables two-dimensional differential systems (with B. P\u016f\u017ea). <\/span>Mem. Differential Equations Math. Phys.<\/span><\/i> 63<\/b> (2014), 151-156.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • The nonlinear Kneser problem for singular in phase variables second-order differential equations (with B. P\u016f\u017ea). <\/span>Boundary Value Problems <\/span><\/i>2014, <\/span>2014:<\/b>147; doi: 10.1186\/s13661-014-0147-x (http:\/\/www.boundaryvalueproblems.com\/content\/2014\/1\/147).<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • On a nonlocal boundary value problem for two-dimensional nonlinear singular differential systems. <\/span>Mem. Differential Equations Math. Phys.<\/span><\/i> 59<\/b> (2013), 121-125.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • On two-point boundary value problems for two-dimensional nonlinear differential systems with strong singularities. <\/span>Mem. Differential Equations Math. Phys.<\/span><\/i> 58<\/b> (2013), 147-152.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • On one estimate for solutions of two-point boundary value problems for higher-order strongly singular linear differential equations (with S. Mukhigulashvili). <\/span>Mem. Differential Equations Math. Phys.<\/span><\/i> 58<\/b> (2013), 65-77.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • Some multi-point boundary value problems for second order singular differential equations (with I. Kiguradze and A. Lomtatidze). <\/span>Mem. Differential Equations Math. Phys.<\/span><\/i> 56<\/b> (2012), 133-141.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • On solvability and well-posedness of two-point weighted singular boundary value problems. <\/span>Mem. Differential Equations Math. Phys.<\/span><\/i> 54<\/b> (2011), 139-146.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • On two-point boundary value problems for higher order functional differential equations with strong singularities (with S. Mukhigulashvili). <\/span>Mem. Differential Equations Math. Phys.<\/span><\/i> 54<\/b> (2011), 134-138.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • On extremal solutions of two-point boundary value problems for second order nonlinear singular differential equations. <\/span>Bull. Georg. Natl. Acad. Sci. <\/span><\/i>5<\/b> (2011), No. 2, 31-36.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • Nonlocal boundary value problems for two-dimensional linear differential systems with strong singularities. <\/span>Proc. A. Razmadze Math. Inst. <\/span><\/i>155<\/b> (2011), 162-165.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • On a periodic problem for higher-order differential equations with a deviating argument (with S. Mukhigulashvili and B. P\u016f\u017ea). <\/span>Nonlinear Analysis: Theory, Methods & Applications <\/span><\/i>74<\/b> (2011), No. 10, 3232-3241; doi:10.1016\/j.na.2011.02.002.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • A priori estimates of solutions of boundary value problems for two-dimensional systems of singular differential inequalities. <\/span>Georgian Math. J.<\/span><\/i> 18<\/b> (2011), No. 1, 163-175; doi:10.1515\/GMJ.2011.0010.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • On two-point boundary value problems for two-dimensional linear differential systems with singular coefficients. <\/span>Mem. Differential Equations Math. Phys.<\/span><\/i> 51<\/b> (2010), 155-162.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • A resonance periodic problem for differential equations with deviating arguments (with B. P\u016f\u017ea). (Russian) <\/span>Differentsial’nye Uravneniya <\/span><\/i>46<\/b> (2010), No. 6, 906-908; English transl. in: <\/span>Differ. Equations<\/span><\/i> 46 <\/b>(2010), No. 6, 916-918.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • Oscillatory properties of second order nonlinear differential equations (with Z. Do\u0161l\u00e1). <\/span>Rokcy Mountain Journal of Mathematics <\/span><\/i>40<\/b> (2010), No. 2, 445-470.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • Problem on transient solutions for nonlinear differential equations of the second order. (Russian) <\/span>Differentsial’nye Uravneniya<\/span><\/i> 45<\/b> (2009), No. 6, 904-906; English transl. in: <\/span>Differ. Equations<\/span><\/i> 45 <\/b>(2009), No. 6, 924-926.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • On a certain nonlocal resonance problem for nonlinear second-order differential equations (with I. Kiguradze). (Russian) <\/span>Differentsial’nye Uravneniya <\/span><\/i>44 <\/b>(2008), No. 11, 1583-1584; English transl. in: <\/span>Differ. Equations<\/span><\/i> 44 <\/b>(2008), No. 11, 1647-1649.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • On one problem with the condition at infinity for second order singular ordinary differential equations. <\/span>Georgian Math. J.<\/span><\/i> 15 <\/b>(2008), No. 4, 753-758.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • On periodic solutions of higher-order functional differential equations (with I. Kiguradze and B. P\u016f\u017ea). <\/span>Boundary Value Problems <\/span><\/i>2008, 1-18; Article ID 389028.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • On the solvability of boundary value problems for nonlinear differential systems. (Russian) <\/span>Differentsial’nye Uravneniya <\/span><\/i>44 <\/b>(2008), No. 2, 211-216; English transl. in: <\/span>Differ. Equations<\/span><\/i> 44 <\/b>(2008), No. 2, 219-225.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • On a periodic boundary value problem for nonlinear differential equations with deviating arguments (with B. P\u016f\u017ea). (Russian) <\/span>Differentsial’nye Uravneniya <\/span><\/i>43 <\/b>(2007), No. 11, 1578-1579; English transl. in: <\/span>Differ. Equations<\/span><\/i> 43 <\/b>(2007), No. 11, 1621-1623.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    1. On a priori estimates of solutions of systems of higher order nonlinear functional-differential inequalities (with I. Kiguradze). <\/span>Georgian Math. J.<\/span><\/i> 14 <\/b>(2007), No. 3, 445-456.<\/span><\/li>\n<\/ol>\n<\/td>\n<\/tr>\n
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    • On the solvability of boundary value problems for nonlinear second-order differential equations. (Russian) <\/span>Differentsial’nye Uravneniya <\/span><\/i>43 <\/b>(2007), No. 2, 275-277; English transl. in: <\/span>Differ. Equations<\/span><\/i> 43 <\/b>(2007), No. 2, 286-289.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • On bounded solutions of nonlinear nonstationary second-order differential equations. (Russian) <\/span>Differentsial’nye Uravneniya <\/span><\/i>42 <\/b>(2006), No. 11, 1579-1580; English transl. in: <\/span>Differ. Equations<\/span><\/i> 42 <\/b>(2006), No. 11, 1655-1656.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • On minimal and maximal solutions of two-point singular boundary value problems (with I. Kiguradze). <\/span>Mem. Differential Equations Math. Phys.<\/span><\/i> 36<\/b> (2005), 147-152.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • On transitional solutions of second order nonlinear differential equations (with L. Malaguti and C. Marcelli). <\/span>J. Math. Anal. Appl.<\/span><\/i> 303<\/b> (2005), No. 1, 258-273.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • Oscillation properties of first order neutral differential equations near the critical states (with Y. Domshlak and I. P. Stavroulakis). <\/span>Nonlinear Funct. Anal. & Appl.<\/span><\/i> 9<\/b> (2004), No. 2, 173-184.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • On lower and upper solutions of the Kneser problem (with I.\u00a0Kiguradze). <\/span>Mem. Differential Equations Math. Phys.<\/span><\/i> 32<\/b> (2004), 155-158.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • On vanishing at infinity solutions of second order differential equations (with I. Kiguradze). <\/span>Mem. Differential Equations Math. Phys.<\/span><\/i> 32<\/b> (2004), 129-135.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • On the Kneser problem for two-dimensional differential systems with advanced arguments (with I. Kiguradze). <\/span>J. Inequal. Appl.<\/span><\/i> 7<\/b> (2002), No. 4, 453-477.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • Oscillatory properties of higher-order advance functional-differential equations (with I. Kiguradze and I. P. Stavroulakis). (Russian) <\/span>Differentsial’nye Uravneniya<\/span><\/i> 38 <\/b>(2002), No. 8, 1030-1041; English transl. in: <\/span>Differ. Equations<\/span><\/i> 38 <\/b>(2002), No. 8, 1095-1107.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • On oscillatory solutions of nonlinear differential equations with advanced arguments<\/span> (with \u00a0 \u00a0 \u00a0 I. Kiguradze and I. P. Stavroulakis). <\/span>Mem. Differential Equations Math. Phys.<\/span><\/i> 25<\/b> (2002), 156-158.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • On advanced functional differential equations with properties <\/span>A<\/span><\/i> and <\/span>B <\/span><\/i>(with I. Kiguradze and \u00a0 I. P. Stavroulakis). <\/span>Mem. Differential Equations Math. Phys.<\/span><\/i> 24<\/b> (2001), 146-150.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • On a boundary value problem for the two-dimensional system of evolution functional differential equations. <\/span>Mem. Differential Equations Math. Phys.<\/span><\/i> 20 <\/b>(2000), 154-158.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • On nonnegative solutions of nonlinear two-point boundary value problems for two-dimensional differential systems with advanced arguments (with I. Kiguradze). <\/span>E. J. Qualitative Theory of Diff. Equ.<\/span><\/i>, 1999, No. 5, 1-22 (http:\/\/www.math.u-szeged.hu\/ejqtde\/1999\/199905.html).<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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    • Oscillation and nonoscillation criteria for two-dimensional systems of first order linear ordinary differential equations (with A. Lomtatidze). <\/span>Georgian Math. J<\/span><\/i>. <\/span>6 <\/b>(1999), No. 3, 285-298.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
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