Homoclinic solutions for a class of nonperiodic and noneven second-order Hamiltonian systems

被引：21

作者：

Wu, Dong-Lun ^{[1
]}

Wu, Xing-Ping ^{[1
]}

Tang, Chun-Lei ^{[1
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 367卷 / 01期

关键词：

Homoclinic solutions; (C) condition; Mountain Pass theorem; Second-order Hamiltonian systems; Sobolev's embedding theorem; ORBITS; EXISTENCE;

D O I：

10.1016/j.jmaa.2009.12.046

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of homoclinic solutions is obtained for second-order Hamiltonian systems -u(t) + L(t)u(t) = del W(t, u(t)) - f(t), as the limit of the solutions of a sequence of nil-boundary-value problems which are obtained by the Mountain Pass theorem, when L(t) and W(t, x) are neither periodic nor even with respect to t. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：154 / 166

页数：13

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