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Ïóáëèêàöèé íà ñòðàíèöå:    Page: 1
2023 year
Authors: 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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2023 year
Authors: 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 year
Authors: 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.
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2021 year
Authors: Dragovic V., Gontsov R., Shramchenko V.

Triangular Schlesinger systems and superelliptic curves, Physica D, 2021, V. 424, 132947.
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2020 year
Authors: 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.
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2020 year
Authors: 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.
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2019 year
Authors: Gontsov R., Goryuchkina I.

Convergence of formal Dulac series satisfying an algebraic ordinary differential equation, Sbornik: Mathematics, 2019, V. 210(9), P. 1207-1221.
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2019 year
Authors: 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 year
Authors: Gontsov R., Goryuchkina I.

The Maillet--Malgrange type theorem for generalized power series, Manuscripta Math., 2018, V. 156(1), P. 171-185.
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2017 year
Authors: 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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2017 year
Authors: Gontsov R.

On the dimension of the subspace of Liouvillian solutions of a Fuchsian system, Math. Notes, 2017, V. 102(2), P. 149-155.
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2016 year
Authors: 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.
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2015 year
Authors: 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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2015 year
Authors: Gontsov R., Goryuchkina I.

On the convergence of generalized power series satisfying an algebraic ODE, Asympt. Anal., 2015, V. 93(4), P. 311-325.
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2014 year
Authors: 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.
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2012 year
Authors: Vyugin I., Gontsov R.

On the question of solubility of Fuchsian systems by quadratures, Russian Math. Surveys, 2012, V. 67(3), P. 585-587.
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2012 year
Authors: Bibilo Y., Gontsov R.

Some properties of Malgrange isomonodromic deformations of linear 2x2 systems, Proc. Steklov Inst. Math., 2012, V. 277, P. 16-26.
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2011 year
Authors: Gontsov R., Poberezhny V.A., Helminck G.F.

On deformations of linear differential systems, Russian Math. Surveys, 2011, V. 66(1), P. 63-105.
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2011 year
Authors: 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.
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2010 year
Authors: Gontsov R.

On movable singularities of Garnier systems, Math. Notes, 2010, V. 88(6), P. 806-818.
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2010 year
Authors: 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.
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2009 year
Authors: 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 year
Authors: 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.
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2008 year
Authors: 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.
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2006 year
Authors: Vyugin I., Gontsov R.

Additional parameters in inverse monodromy problems, Sbornik: Mathematics, 2006, V. 197(12), P. 1753-1773.
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2005 year
Authors: 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 year
Authors: Gontsov R.

Refined Fuchs inequalities for systems of linear differential equations, Izvestiya: Mathematics, 2004, V. 68(2), P. 259-272.
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