Asymptotics at infinity of solutions of equations close to Hamiltonian equations

被引：0

作者：

L. A. Kalyakin

机构：

[1] Russian Academy of Sciences,Institute of Mathematics with Computation Center

来源：

Journal of Mathematical Sciences | 2009年 / 157卷 / 3期

关键词：

Asymptotic Expansion; Asymptotic Solution; Recursive Formula; Principal Part; Initial Equation;

D O I：

10.1007/s10958-009-9332-3

中图分类号：

学科分类号：

摘要：

A nonlinear non-autonomous system of two ordinary differential equations is considered. It is assumed that the equations corresponding to the principal part in the asymptotics at infinity with respect to the independent variable are integrable and written in the action-angle variables. In the case where the lower terms in the equation periodically depend on the angle, the asymptotic expansion at infinity of the two-parametric family of solutions is constructed.

引用

页码：526 / 542

页数：16

共 12 条

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