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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
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.
Received: 27.10.2021 Revised: 01.11.2021 Accepted: 16.12.2021
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
Linking options:
https://www.mathnet.ru/eng/danma237 https://www.mathnet.ru/eng/danma/v502/p46
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Abstract page: | 204 | References: | 26 |
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