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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1982 Volume 118(160), Number 1(5), Pages 74–103 (Mi sm2239)

This article is cited in 10 papers

Asymptotic solutions of ordinary differential equations with degenerate symbol

V. V. Kucherenko, Yu. V. Osipov


Abstract: Formal asymptotic solutions which are uniform with respect to the parameter are constructed for ordinary differential equations with symbols depending smoothly on the parameter and having a nondegenerate stationary point.
Bibliography: 10 titles.

UDC: 517.94

MSC: Primary 34E05; Secondary 34E20

Received: 28.01.1981


 English version:
Mathematics of the USSR-Sbornik, 1983, 46:1, 75–104

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© Steklov Math. Inst. of RAS, 2024