R. Gontsov - Publications

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
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

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
Gontsov R., Barkatou M., Linear differential systems with small coefficients: various types of solvability and their verification, SIGMA, 2019, V. 15, 058, 15p.

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

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. 1116.
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

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

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.
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

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

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
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

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
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

2010

Gontsov R., On movable singularities of Garnier systems, Math. Notes, 2010, V. 88(6), P. 806-818. http://mi.mathnet.ru/mz8915
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

2009

Gontsov R., Vyugin I., Some addition to the generalized Riemann-Hilbert problem, Ann. Fac. Sci. Toulouse, 2009, V. 18(3), P. 527-542.

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
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

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

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.

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