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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2022, Volume 502, Pages 46–51
DOI: https://doi.org/10.31857/S2686954322010118 (Mi danma237) 		 
MATHEMATICS

WKB method for nonlinear equations of Emden–Fowler type

S. A. Stepina, A. I. Shafarevichab

a Lomonosov Moscow State University, Moscow, Russia
b Moscow Center for Fundamental and Applied Mathematics, Moscow, Russia
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DOI: https://doi.org/10.31857/S2686954322010118
Abstract: A method of asymptotic integration based on application of generalized Prufer transform is elaborated for a class of Emden–Fowler type equations and a relationship with two-scales expansions method is established.
Keywords: Emden–Fowler type equation, generalized prufer transform, asymptotic integration, two-scales expansions method.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00474
Russian Science Foundation 21-11-00341
Stepin’s research was supported by the Russian Foundation for Basic Research (project no. 19-01-00474), and Shafarevich’s research was supported by the Russian Science Foundation (grant no. 21-11-00341).
Received: 27.10.2021
Revised: 01.11.2021
Accepted: 16.12.2021
English version:
Doklady Mathematics, 2022, Volume 105, Issue 1, Pages 39–44
DOI: https://doi.org/10.1134/S1064562422010112
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: S. A. Stepin, A. I. Shafarevich, “WKB method for nonlinear equations of Emden–Fowler type”, Dokl. RAN. Math. Inf. Proc. Upr., 502 (2022), 46–51; Dokl. Math., 105:1 (2022), 39–44
Citation in format AMSBIB
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\pages 46--51
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\transl
\jour Dokl. Math.
\yr 2022
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\pages 39--44
\crossref{https://doi.org/10.1134/S1064562422010112}
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