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., 2003, Volume 4, Number 1,Pages <nobr>78

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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

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.

UDC: 517.928

MSC: 74H10

Received: 10.06.2003