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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1984 Volume 123(165), Number 1, Pages 130–140 (Mi sm1990)

This article is cited in 2 papers

Formal asymptotic solutions of a class of ordinary differential equations in the neighborhood of a turning point

L. Yu. Motylev


Abstract: Formal asymptotic solutions are constructed for a class of ordinary differential equations of $n$th order with small parameter that have a turning point. An integral representation is proposed for solutions in a small neighborhood of the turning point.
Bibliography: 10 titles.

UDC: 517.91

MSC: Primary 34E20; Secondary 34C20

Received: 18.02.1983


 English version:
Mathematics of the USSR-Sbornik, 1985, 51:1, 129–139

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