A periodic solution for a second-order asymptotically linear Hamiltonian system

被引：16

作者：

Zhao, Fukun ^{[1
]}

Chen, Jin ^{[1
,2
]}

Yang, Minbo ^{[3
]}

机构：

[1] Yunnan Normal Univ, Dept Math, Kunming 650092, Yunnan, Peoples R China

[2] Zhaotong Teachers Coll, Dept Math, Zhaotong 657000, Yunnan, Peoples R China

[3] Zhejiang Normal Univ, Dept Math, Jinhua 321000, Zhejiang, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 11期

关键词：

Second-order Hamiltonian system; Periodic solution; Critical point; HOMOCLINIC SOLUTIONS; INDEX;

D O I：

10.1016/j.na.2008.08.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of a periodic solution of the following second-order Hamiltonian system: u(t) + del F(t, u(t)) = 0, t is an element of [0, T], where F(t, x) = -K(t, x) + W(t, x). Assuming that K satisfies the "pinching" condition and W is asymptotically linear at infinity, the existence of a nontrivial periodic solution is obtained via the Mountain Pass Theorem. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：4021 / 4026

页数：6

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