Periodic solutions of some non-autonomous second order Hamiltonian systems

被引：7
|
作者：
Yang, Rigao [1 ]
机构：
[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 69卷 / 08期
关键词：
periodic solutions; critical point; non-autonomous second order Hamiltonian systems; Sobolev's inequality;
D O I：
10.1016/j.na.2007.08.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the existence of periodic Solutions of some non-autonomous second order Hamiltonian systems {u(t) = del F (t, u(t)), a.e. t epsilon [0, T], u(0) - u (T) = (u) over dot (0) - (u) over dot (T) = 0. We obtain some new existence theorems by the least action principle. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2333 / 2338
页数：6
相关论文
共 50 条
12345