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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2010, Volume 271, Pages 335–351
(Mi tm3246)
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This article is cited in 1 scientific paper (total in 1 paper)
Construction of a system of linear differential equations from a scalar equation
I. V. V'yugin, R. R. Gontsov Institute for Information Transmission Problems (Kharkevich Institute), Russian Academy of Sciences, Moscow, Russia
Abstract:
As is well known, given a Fuchsian differential equation, one can construct a Fuchsian system with the same singular points and monodromy. In the present paper, this fact is extended to the case of linear differential equations with irregular singularities.
Received in January 2010
Citation:
I. V. V'yugin, R. R. Gontsov, “Construction of a system of linear differential equations from a scalar equation”, Differential equations and topology. II, Collected papers. In commemoration of the centenary of the birth of Academician Lev Semenovich Pontryagin, Trudy Mat. Inst. Steklova, 271, MAIK Nauka/Interperiodica, Moscow, 2010, 335–351; Proc. Steklov Inst. Math., 271 (2010), 322–338
Linking options:
https://www.mathnet.ru/eng/tm3246 https://www.mathnet.ru/eng/tm/v271/p335
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