Power-elliptic expansions of solutions to an ordinary differential equation

被引：0

作者：

A. D. Bruno

机构：

[1] Russian Academy of Sciences,Keldysh Institute of Applied Mathematics

来源：

Computational Mathematics and Mathematical Physics | 2012年 / 52卷

关键词：

ordinary differential equation; asymptotic expansion of solutions; elliptic asymptotic behavior; first and second Painlevé equations;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A rather general ordinary differential equation is considered that can be represented as a polynomial in variables and derivatives. For this equation, the concept of power-elliptic expansions of its solutions is introduced and a method for computing them is described. It is shown that such expansions of solutions exist for the first and second Painlevé equations.

引用

页码：1650 / 1661

页数：11

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