WKB Method for Nonlinear Equations of Emden–Fowler Type-Reference-Cited by-同舟云学术

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WKB Method for Nonlinear Equations of Emden–Fowler Type

Published:2022-02 Issue:1 Volume:105 Page:39-44
ISSN:1064-5624
Container-title:Doklady Mathematics
language:en
Short-container-title:Dokl. Math.

Author:

Stepin S. A.,Shafarevich A. I.

Abstract

Abstract A method of asymptotic integration based on application of a generalized Prüfer transformation is elaborated for a class of Emden–Fowler type equations, and a relationship with two-scale expansion method is established.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.1134/S1064562422010112.pdf

Reference8 articles.

1. R. Bellman, Stability Theory of Differential Equations (McGraw-Hill, New York, 1953).

2. M. V. Fedoryuk, Asymptotic Analysis: Linear Ordinary Differential Equations (Nauka, Moscow, 1983; Springer, Berlin, 1993).

3. N. N. Moiseev, Asymptotic Methods in Nonlinear Mechanics (Nauka, Moscow, 1969) [in Russian].

4. I. T. Kiguradze and T. A. Chanturiya, Asymptotic Properties of Solutions to Nonautonomous Ordinary Differential Equations (Nauka, Moscow, 1990) [in Russian].

5. G. E. Kuzmak, J. Appl. Math. Mech. 23 (3), 730–744 (1959).

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