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Gontsov, Renat Ravilevich

Associate professor
Candidate of physico-mathematical sciences (2005)
E-mail:
Website: http://iitp.ru/ru/users/371.htm

Subject:

Analytic theory of differential equations


https://www.mathnet.ru/eng/person14020
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/735007
https://elibrary.ru/author_items.asp?authorid=147318

Publications in Math-Net.Ru Citations
2019
1. Moulay A. Barkatou, Renat R. Gontsov, “Linear Differential Systems with Small Coefficients: Various Types of Solvability and their Verification”, SIGMA, 15 (2019), 058, 15 pp.  mathnet  isi  scopus
2. R. R. Gontsov, I. V. Goryuchkina, “Convergence of formal Dulac series satisfying an algebraic ordinary differential equation”, Mat. Sb., 210:9 (2019),  3–18  mathnet  mathscinet  zmath  elib; Sb. Math., 210:9 (2019), 1207–1221  isi  scopus 6
2017
3. R. R. Gontsov, “On the Dimension of the Subspace of Liouvillian Solutions of a Fuchsian System”, Mat. Zametki, 102:2 (2017),  178–185  mathnet  mathscinet  elib; Math. Notes, 102:2 (2017), 149–155  isi  scopus 1
2012
4. I. V. Vyugin, R. R. Gontsov, “On the question of solubility of Fuchsian systems by quadratures”, Uspekhi Mat. Nauk, 67:3(405) (2012),  183–184  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 67:3 (2012), 585–587  isi  elib  scopus 5
5. Yu. P. Bibilo, R. R. Gontsov, “Some properties of Malgrange isomonodromic deformations of linear $2\times2$ systems”, Trudy Mat. Inst. Steklova, 277 (2012),  22–32  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 277 (2012), 16–26  isi  elib  scopus
2011
6. R. R. Gontsov, V. A. Poberezhnyi, G. F. Helminck, “On deformations of linear differential systems”, Uspekhi Mat. Nauk, 66:1(397) (2011),  65–110  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 66:1 (2011), 63–105  isi  elib  scopus 6
2010
7. R. R. Gontsov, “On Movable Singularities of Garnier Systems”, Mat. Zametki, 88:6 (2010),  845–858  mathnet  mathscinet; Math. Notes, 88:6 (2010), 806–818  isi  scopus 3
8. I. V. V'yugin, R. R. Gontsov, “Construction of a system of linear differential equations from a scalar equation”, Trudy Mat. Inst. Steklova, 271 (2010),  335–351  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 271 (2010), 322–338  isi  scopus 1
2008
9. R. R. Gontsov, “On Solutions of the Schlesinger Equation in the Neigborhood of the Malgrange $\Theta$-Divisor”, Mat. Zametki, 83:5 (2008),  779–782  mathnet  mathscinet  zmath  elib; Math. Notes, 83:5 (2008), 707–711  isi  elib  scopus 3
10. R. R. Gontsov, V. A. Poberezhnyi, “Various versions of the Riemann–Hilbert problem for linear differential equations”, Uspekhi Mat. Nauk, 63:4(382) (2008),  3–42  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 63:4 (2008), 603–639  isi  elib  scopus 8
2006
11. I. V. Vyugin, R. R. Gontsov, “Additional parameters in inverse problems of monodromy”, Mat. Sb., 197:12 (2006),  43–64  mathnet  mathscinet  zmath  elib; Sb. Math., 197:12 (2006), 1753–1773  isi  scopus 13
2004
12. R. R. Gontsov, “Refined Fuchs inequalities for systems of linear differential equations”, Izv. RAN. Ser. Mat., 68:2 (2004),  39–52  mathnet  mathscinet  zmath; Izv. Math., 68:2 (2004), 259–272  isi  scopus 7
13. R. R. Gontsov, “Orders of Zeros of Polynomials on Trajectories of Solutions of a System of Linear Differential Equations with Regular Singular Points”, Mat. Zametki, 76:3 (2004),  473–477  mathnet  mathscinet  zmath; Math. Notes, 76:3 (2004), 438–442  isi  scopus 2

14. R. R. Gontsov, “Letter to the editors”, Izv. RAN. Ser. Mat., 68:6 (2004),  221–222  mathnet  mathscinet  zmath; Izv. Math., 68:6 (2004), 1277–1279  isi  scopus 1
15. A. V. Chernavskii, V. P. Leksin, M. Butuzov, I. V. Vyugin, R. R. Gontsov, V. A. Poberezhnyi, Yu. S. Ilyashenko, A. G. Sergeev, S. P. Konovalov, “Reminiscences about Andrei Andreevich Bolibrukh”, Uspekhi Mat. Nauk, 59:6(360) (2004),  207–215  mathnet  mathscinet; Russian Math. Surveys, 59:6 (2004), 1213–1224  isi

Presentations in Math-Net.Ru
1. Constructing solutions of a triangular Schlesinger system via periods of meromorphic differentials on Riemann surfaces
R. R. Gontsov
Constructive Methods of the Theory of Riemann Surfaces and Applications
November 16, 2023 12:00   
2. System of Schlesinger equations for triangular matrices: representation of solutions by periods of meromorphic differentials
R. R. Gontsov
Seminar "Complex analysis in several variables" (Vitushkin Seminar)
March 22, 2023 16:45
3. Представление решений уравнения Шлезингера периодами мероморфных дифференциалов
R. R. Gontsov

March 31, 2022 18:30
4. Solving triangular Schlesinger systems via periods of meromorphic differentials
R. R. Gontsov
Dynamics in Siberia - 2019
February 25, 2019 15:50
5. Полиномиальные решения уравнения Шлезингера
R. R. Gontsov
Seminar on analytic theory of differential equations
October 31, 2018 14:30
6. Алгебро-геометрические решения треугольных систем Шлезингера
R. R. Gontsov

December 21, 2017 15:30   
7. Power series and Dirichlet series solving ODEs
R. R. Gontsov
Seminar "Complex analysis in several variables" (Vitushkin Seminar)
April 5, 2017 16:45
8. Solvability of linear differential systems with small exponents in the Liouvillian sense
R. R. Gontsov
Seminar on Complex Analysis (Gonchar Seminar)
May 18, 2015 18:00
9. Local solvability by quadratures over the field of meromorphic germs
R. R. Gontsov
Seminar on analytic theory of differential equations
May 13, 2015 14:00
10. О разрешимости систем линейных дифференциальных уравнений в явном виде
R. R. Gontsov
Seminar "Optimal Control and Dynamical Systems"
March 13, 2013 12:00
11. On Galois theory of linear differential equations
R. R. Gontsov
Seminar of M. S. Pinsker Laboratory 1 IITP RAS
November 17, 2011 16:00
12. Seminar dedicated to the 60th anniversary of the birthday of academician A. A. Bolibrukh
D. V. Anosov, Yu. S. Ilyashenko, V. P. Leksin, R. R. Gontsov
Steklov Mathematical Institute Seminar
April 22, 2010 16:00   
13. Классическая проблема Римана–Гильберта и некоторые ее обобщения
Renat Gontsov
Seminar "Optimal Control and Dynamical Systems"
March 4, 2009 12:00
14. Функция Лобачевского и ее свойства
R. R. Gontsov
Seminar "Optimal Control and Dynamical Systems"
May 14, 2008 15:00
15. О числе дополнительных параметров в обратных задачах монодромии
I. V. Vyugin, R. R. Gontsov
Seminar "Optimal Control and Dynamical Systems"
October 12, 2005

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