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Mat. Sb. (N.S.), 1984, Volume 123(165), Number 1, Pages 130–140 (Mi msb1990)  

This article is cited in 2 scientific papers (total 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.

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

Bibliographic databases:

UDC: 517.91
MSC: Primary 34E20; Secondary 34C20
Received: 18.02.1983

Citation: L. Yu. Motylev, “Formal asymptotic solutions of a class of ordinary differential equations in the neighborhood of a turning point”, Mat. Sb. (N.S.), 123(165):1 (1984), 130–140; Math. USSR-Sb., 51:1 (1985), 129–139

Citation in format AMSBIB
\Bibitem{Mot84}
\by L.~Yu.~Motylev
\paper Formal asymptotic solutions of a~class of ordinary differential equations in the neighborhood of a~turning point
\jour Mat. Sb. (N.S.)
\yr 1984
\vol 123(165)
\issue 1
\pages 130--140
\mathnet{http://mi.mathnet.ru/msb1990}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=728934}
\zmath{https://zbmath.org/?q=an:0586.34050}
\transl
\jour Math. USSR-Sb.
\yr 1985
\vol 51
\issue 1
\pages 129--139
\crossref{https://doi.org/10.1070/SM1985v051n01ABEH002851}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Motylev L., “Perturbation-Theory in the Complex-Domain for Turritin Equations with a Small Parameter Multiplying the Derivative”, Differ. Equ., 23:11 (1987), 1288–1295  mathscinet  zmath  isi
    2. Motylev L., “An Asymptotic Method for Ordinary Differential-Equations with an Infinite-Order Turning Point”, 304, no. 1, 1989, 32–36  mathscinet  zmath  isi
  • Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics (from 1967)
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