2023 |
Dragovic V., Gontsov R., Goryuchkina I., From formal to actual Puiseux series solutions of algebraic differential equations of first order, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), 2023, V. 24(4), P. 2201-2213.
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Gontsov R., Goryuchkina I., Generalized power series solutions of q-difference equations and the small divisors phenomenon, In: "Computer Algebra. 5th International Conference Materials. Moscow, June 26 – 28, 2023", P. 75–78.
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2022 |
Gontsov R., Goryuchkina I., Lastra A., On the convergence of generalized power series solutions of q-difference equations, Aequat. Math., 2022, V. 96(3), P. 579-597. http://iitp.ru/https://arxiv.org/abs/2011.06384
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2021 |
Dragovic V., Gontsov R., Shramchenko V., Triangular Schlesinger systems and superelliptic curves, Physica D, 2021, V. 424, 132947.
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2020 |
Gontsov R., Goryuchkina I., On the convergence of formal exotic series solutions of an ODE, Comput. Methods Funct. Theory, 2020, V. 20(2), P. 279-295. http://iitp.ru/https://rdcu.be/b0255
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Gontsov R., Goryuchkina I., A note on the convergence of multivariate formal power series solutions of meromorphic Pfaffian systems, J. Dyn. Control Syst., 2020, V. 26(1), P. 149-158. http://iitp.ru/https://rdcu.be/bywWV
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2019 |
Gontsov R., Goryuchkina I., Convergence of formal Dulac series satisfying an algebraic ordinary differential equation, Sbornik: Mathematics, 2019, V. 210(9), P. 1207-1221. http://mi.mathnet.ru/msb9064
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Gontsov R., Barkatou M., Linear differential systems with small coefficients: various types of solvability and their verification, SIGMA, 2019, V. 15, 058, 15p.
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2018 |
Gontsov R., Goryuchkina I., The Maillet--Malgrange type theorem for generalized power series, Manuscripta Math., 2018, V. 156(1), P. 171-185. http://rdcu.be/uvh6
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2017 |
Gontsov R., Barkatou M., Smallness of the formal exponents of an irregular linear differential system, with an application to solvability by quadratures, In: "Computer Algebra. Materials of the International Conference. Moscow, October, 30 – November, 3, 2017", P. 11–16.
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Gontsov R., On the dimension of the subspace of Liouvillian solutions of a Fuchsian system, Math. Notes, 2017, V. 102(2), P. 149-155. http://mi.mathnet.ru/mz11385
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2016 |
Gontsov R., Goryuchkina I., An analytic proof of the Malgrange theorem on the convergence of formal solutions of an ODE, J. Dyn. Control Syst., 2016, V. 22(1), P. 91-100. http://arxiv.org/abs/1311.6416
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2015 |
Gontsov R., Vyugin I., Solvability of linear differential systems with small exponents in the Liouvillian sense, Arnold Math. J., 2015, V. 1(4), P. 445-471.
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Gontsov R., Goryuchkina I., On the convergence of generalized power series satisfying an algebraic ODE, Asympt. Anal., 2015, V. 93(4), P. 311-325. http://arxiv.org/abs/1407.1330
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2014 |
Gontsov R., Leksin V., On the reducibility of Schlesinger isomonodromic families, In: "Analytic Methods of Analysis and Differential Equations: AMADE-2012", Cambridge Scientific Publishers, Cottengham, UK, 2014. P. 21-34. http://arxiv.org/abs/1309.7592
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2012 |
Vyugin I., Gontsov R., On the question of solubility of Fuchsian systems by quadratures, Russian Math. Surveys, 2012, V. 67(3), P. 585-587. http://mi.mathnet.ru/umn9438
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Bibilo Y., Gontsov R., Some properties of Malgrange isomonodromic deformations of linear 2x2 systems, Proc. Steklov Inst. Math., 2012, V. 277, P. 16-26. http://mi.mathnet.ru/tm3384
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2011 |
Gontsov R., Poberezhny V.A., Helminck G.F., On deformations of linear differential systems, Russian Math. Surveys, 2011, V. 66(1), P. 63-105. http://mi.mathnet.ru/umn9404
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Gontsov R., Vyugin I., Apparent singularities of Fuchsian equations and the Painlevé property for Garnier systems,
J. Geom. Phys., 2011, V. 61(12), P. 2419-2435.
http://iitp.ru/https://www.sciencedirect.com/science/article/pii/S0393044011001975?via%3Dihub
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2010 |
Gontsov R., On movable singularities of Garnier systems, Math. Notes, 2010, V. 88(6), P. 806-818. http://mi.mathnet.ru/mz8915
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Vyugin I., Gontsov R., Construction of a system of linear differential equations from a scalar equation, Proc. Steklov Inst. Math., 2010, V. 271, P. 322-338. http://mi.mathnet.ru/tm3246
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2009 |
Gontsov R., Vyugin I., Some addition to the generalized Riemann-Hilbert problem, Ann. Fac. Sci. Toulouse, 2009, V. 18(3), P. 527-542.
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2008 |
Gontsov R., Poberezhnyi V., Various versions of the Riemann--Hilbert problem for linear differential equations, Russian Math. Surveys, 2008, V. 63(4), P. 603-639. http://mi.mathnet.ru/rus/umn/v63/i4/p3
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Gontsov R., On solutions of the Schlesinger equation in the neighborhood of the Malgrange theta-divisor, Math. Notes, 2008, V. 83(5), P. 707-711. http://mi.mathnet.ru/rus/mz/v83/i5/p779
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2006 |
Vyugin I., Gontsov R., Additional parameters in inverse monodromy problems, Sbornik: Mathematics, 2006, V. 197(12), P. 1753-1773. http://mi.mathnet.ru/rus/msb/v197/i12/p43
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2005 |
Gontsov R., Fuchs inequalities for systems of linear differential equations with regular singular points, J. Math. Sci., 2007, V. 145(5), P. 5165-5172.
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2004 |
Gontsov R., Refined Fuchs inequalities for systems of linear differential equations, Izvestiya: Mathematics, 2004, V. 68(2), P. 259-272. http://mi.mathnet.ru/rus/izv/v68/i2/p39
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