New existence of periodic solutions for second order non-autonomous Hamiltonian systems

被引：22

作者：

Zhang, Qiongfen ^{[1
]}

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

机构：

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 369卷 / 01期

关键词：

Periodic solutions; Mountain pass theorem; Local link theorem; Hamiltonian systems; Local superquadratic condition; HOMOCLINIC SOLUTIONS; MULTIPLICITY; INDEFINITE;

D O I：

10.1016/j.jmaa.2010.03.033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using mountain pass theorem and local link theorem, some existence theorems are obtained for periodic solutions of second order non-autonomous Hamiltonian systems under local superquadratic condition and other suitable conditions. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：357 / 367

页数：11

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