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

页码：2333 / 2338

页数：6

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