A. M. Il'in, B. I. Suleimanov, “The coefficients of inner asymptotic expansions for solutions of some singular boundary value problems”, Dal'nevost. Mat. Zh., 4:1 (2003), 78

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Dal'nevostochnyi Matematicheskii Zhurnal, 2003, Volume 4, Number 1, Pages 78–85 (Mi dvmg148)

This article is cited in 1 scientific paper (total in 3 paper)

The coefficients of inner asymptotic expansions for solutions of some singular boundary value problems

A. M. Il'in^a, B. I. Suleimanov^b

^a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
^b Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences

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Abstract: Two special solutions of ordinary diferential equations are considered. The special solutions are described. They are connected to a wide class of solutions of partial diferential equations with small parameter in the case when the limit solutions have points of cusps. The existence of this two special solutions is proved.

Key words: asymptotic expansions, small parameter, matching.

Received: 10.06.2003

Document Type: Article

UDC: 517.928

MSC: 74H10

Language: Russian

Citation: A. M. Il'in, B. I. Suleimanov, “The coefficients of inner asymptotic expansions for solutions of some singular boundary value problems”, Dal'nevost. Mat. Zh., 4:1 (2003), 78–85

Citation in format AMSBIB

\Bibitem{IliSul03}

\by A.~M.~Il'in, B.~I.~Suleimanov

\paper The coefficients of inner asymptotic expansions for solutions of some singular boundary value problems

\jour Dal'nevost. Mat. Zh.

\yr 2003

\vol 4

\issue 1

\pages 78--85

\mathnet{http://mi.mathnet.ru/dvmg148}

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https://www.mathnet.ru/eng/dvmg/v4/i1/p78

This publication is cited in the following 3 articles:

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