Periodic solutions of an infinite-dimensional Hamiltonian system

被引：9

作者：

Mao, Anmin ^{[1
]}

Luan, Shixia ^{[1
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Shanghai 273165, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 201卷 / 1-2期

基金：

中国国家自然科学基金;

关键词：

local linking; periodic solution; variational method;

D O I：

10.1016/j.amc.2007.11.047

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the existence of periodic solutions of the unbounded Hamiltonian system (H) {partial derivative(t)u - Delta(x)u = H(v)(t, x, u, v) -partial derivative(t)v - Delta(x)v = H(u)(t, x, u, v) for (t, x) is an element of R x Omega. Unlike previous work, in our case the energy functional does not satisfy the Palais-Smale conditions. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：800 / 804

页数：5

共 7 条

[1]

Barber B.M., 1995, J CORP FINANC, V1, P283

[2] Homoclinic solutions of an infinite-dimensional Hamiltonian system [J].