摘要
利用Schauder不动点定理讨论概周期解存在性,往往会遇到算子紧性证明的困难.为了将研究周期解存在的方法推广到概周期解情形,在稍强的条件下利用压缩映射原理来证明Lienard方程概周期解的存在性.
There is always difficult in the proof of compact operator when we discuss the existence of almost periodic solution by Schauder fixed point theorem.In this paper,the existence of almost periodic solution for Lienard equation is investigated by constriction mapping principle under little strong condition.
出处
《福州大学学报（自然科学版）》
CAS
CSCD
北大核心
2010年第6期797-802,共6页
Journal of Fuzhou University(Natural Science Edition)
基金
福建省教育厅科研资助项目(JB826733)
关键词
LIENARD方程
概周期解
压缩映射原理
Lienard equation
almost periodic solution
constriction mapping principle
