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.
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页码：4021 / 4026
页数：6
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