Periodic Solutions of Nonautonomous Second Order Hamiltonian Systems

被引：0
|
作者：
Shi Xia LUAN An Min MAO Department of Mathematics
机构：
来源：
Acta Mathematica Sinica(English Series) | 2005年 / 21卷 / 04期
关键词：
Non-autonomous Hamiltonian systems; Periodic solutions; Local linking; Critical point theory; Variational method;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
In this paper,we develop the local linking theorem given by Li and Willem by replacingthe Palais-Smale condition with a Cerami one,and apply it to the study of the existence of periodicsolutions of the nonautonomous second order Hamiltonian systems ü+A(t)u+▽V(t,u)=0,u∈R~N,t∈R.We handle the case of superquadratic nonlinearities which differ from those used previously.Our resultsextend the theorems given by Li and Willein.
引用
收藏
页码：685 / 690
页数：6
相关论文
共 50 条
12345