摘要
一、引言 关于Lienard型方程的周期解的存在性问题,很早以来就受到重视,对于非自治系统的情形,主要有两方面的工作:早期是在耗散性条件下得到的(见文献[1,2]),随着泛函分析工具的引入,又出现了大量避开耗散性假设的结果。最近文献[10]应用Mawhin等建立的延拓(continuation)
In this paper we consider the existence of periodic solutions for n-limensional lienard equations.By using Mawhin's continuation principle and the property of odd operators,four existence theorems are proved.These theorems extend the related known results and give some new conditions which guarantee the existence of periodic solutions.
出处
《应用数学学报》
CSCD
北大核心
1991年第3期368-375,共8页
Acta Mathematicae Applicatae Sinica
