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Preprints of the Keldysh Institute of Applied Mathematics, 2011, 060, 19 pp. (Mi ipmp166)  

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

Power-elliptic expansions of solutions to an ODE

A. D. Bruno
Full-text PDF (429 kB) Citations (1)
References:
Abstract: We consider an ordinary differential equation of a very general form. For it, we introduce the notion of a power-elliptic expansion of its solutions and give a method of calculation of the expansion. We show that the first and second Painlevé equations have got such expansions of solution.
Document Type: Preprint
Language: Russian
Citation: A. D. Bruno, “Power-elliptic expansions of solutions to an ODE”, Keldysh Institute preprints, 2011, 060, 19 pp.
Citation in format AMSBIB
\Bibitem{Bru11}
\by A.~D.~Bruno
\paper Power-elliptic expansions of solutions to an ODE
\jour Keldysh Institute preprints
\yr 2011
\papernumber 060
\totalpages 19
\mathnet{http://mi.mathnet.ru/ipmp166}
Linking options:
  • https://www.mathnet.ru/eng/ipmp166
  • https://www.mathnet.ru/eng/ipmp/y2011/p60
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Препринты Института прикладной математики им. М. В. Келдыша РАН
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    Abstract page:167
    Full-text PDF :92
    References:40
     
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