2018 |
Gontsov R., Goryuchkina I., The Maillet--Malgrange type theorem for generalized power series, Manuscripta Math., 2018, V. 156(1), P. 171-185. http://iitp.ru/https://arxiv.org/abs/1601.05778
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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. Dynam. 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://www.sciencedirect.com/science/article/pii/S0393044011001975, arXiv:0905.1436) http://arxiv.org/abs/0905.1436
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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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