Existence and multiplicity of periodic solutions for a class of second-order Hamiltonian systems

被引：37

作者：

Tang, X. H. ^{[1
]}

Jiang, Jianchu ^{[1
]}

机构：

[1] Cent South Univ, Sch Math Sci & Comp Technol, Changsha 410083, Hunan, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 12期

关键词：

Second-order Hamiltonian systems; Periodic solution; Mountain Pass Theorem; Symmetric Mountain Pass Theorem; HOMOCLINIC SOLUTIONS; SUBHARMONIC SOLUTIONS; INDEX;

D O I：

10.1016/j.camwa.2010.03.039

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence and multiplicity of periodic solutions of the following second-order Hamiltonian system u(t) + del[-K(t, u(t)) + W(t, u(t))] = 0. The existence of a nontrivial periodic solution is obtained when del W is asymptotically linear at infinity, and the existence of infinitely many periodic solutions is also obtained when del W is superlinear. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：3646 / 3655

页数：10

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