Periodic Solutions for a Class of Second-Order Ordinary Differential Equations

被引：0

作者：

S. G. Ji

S. Y. Shi

机构：

[1] Jilin University,Institute of Mathematics

[2] Jilin University,College of Mathematics

来源：

Journal of Optimization Theory and Applications | 2006年 / 130卷

关键词：

Periodic solutions; differential equations; calculus of variations; equivalent variational problem;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper is devoted to the study of periodic solutions for a class of second-order ordinary differential equations by utilizing a technique for obtaining solutions to free problems in the calculus of variations originating in the work of Carathéodory (Ref. 1, 1935). The key of this technique is to find some suitable transformation which transfers the periodic solution problem to an equivalent variational problem in which the minimizer is more easily determined. Some applications are presented to illustrate the utility of this technique.

引用

页码：125 / 137

页数：12

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