R. Gontsov - Publications


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


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.


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


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


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


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


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


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


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


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


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


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


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


Gontsov R., Fuchs inequalities for systems of linear differential equations with regular singular points, J. Math. Sci., 2007, V. 145(5), P. 5165-5172.


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