Existence of homoclinic solutions for a class of second order systems

被引：15

作者：

Zhu, Wenzhuang ^{[1
,2
]}

机构：

[1] Nankai Univ, Sch Math, Chern Inst, Tianjin 300071, Peoples R China

[2] Nankai Univ, LPMC, Tianjin 300071, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 04期

关键词：

Second order systems; Homoclinic solutions; Variational method; Critical points; ORBITS;

D O I：

10.1016/j.na.2011.10.043

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 nontrivial homoclinic solutions for a second order differential equation of the form q + A(q) over dot - L(t)q + W-q(t, q) = 0. Here, we assume that A is a antisymmetric constant matrix, L(t) is a continuous positive definite symmetric matrix valued function depending periodically on t and assume that potential W is asymptotically quadratic as vertical bar q vertical bar -> 0 and vertical bar q vertical bar -> 8. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：2455 / 2463

页数：9

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