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Preprints of the Keldysh Institute of Applied Mathematics, 2007, 062, 33 pp. (Mi ipmp517)  

This article is cited in 2 scientific papers (total in 2 papers)

All base asymptotic expansions of solutions to the equation P6 in the case $a\cdot b\ne0$

A. D. Bruno, I. V. Goryuchkina
Full-text PDF (761 kB) Citations (2)
Abstract: With the methods of power geometry we obtained those asymptotic expansions of solutions to the equation P6 near its singular point $x=0$, which have the order of the first term less one. These expansions are named base expansions. They organize 19 families and include expansions of four types: power, power-logarithmic, complicated and exotic. All other asymptotic expansions of solutions to the equation P6 near its singular points $x=0$, $x=1$ and $x=\infty$ compute from the base expansions by means of symmetries of the equation. The most of these expansions are new.
Document Type: Preprint
UDC: 517.91
Language: Russian
Citation: A. D. Bruno, I. V. Goryuchkina, “All base asymptotic expansions of solutions to the equation P6 in the case $a\cdot b\ne0$”, Keldysh Institute preprints, 2007, 062, 33 pp.
Citation in format AMSBIB
\Bibitem{BruGor07}
\by A.~D.~Bruno, I.~V.~Goryuchkina
\paper All base asymptotic expansions of solutions to the equation~P6 in the case $a\cdot b\ne0$
\jour Keldysh Institute preprints
\yr 2007
\papernumber 062
\totalpages 33
\mathnet{http://mi.mathnet.ru/ipmp517}
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  • https://www.mathnet.ru/eng/ipmp517
  • https://www.mathnet.ru/eng/ipmp/y2007/p62
    See also
    This publication is cited in the following 2 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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