Existence of homoclinic solutions for a class of asymptotically quadratic non-autonomous Hamiltonian systems

被引：10

作者：

Zhang, Qiongfen ^{[1
]}

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

机构：

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

来源：

MATHEMATISCHE NACHRICHTEN | 2012年 / 285卷 / 5-6期

关键词：

Homoclinic solutions; critical point; asymptotically quadratic; Mountain Pass Theorem MSC (2010) 34C37; 35A15; 37J45; ORBITS;

D O I：

10.1002/mana.201000096

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By using the variant version of Mountain Pass Theorem, the existence of homoclinic solutions for a class of asymptotically quadratic non-autonomous Hamiltonian systems is obtained. The result obtained generalizes and improves some known works.

引用

页码：778 / 789

页数：12

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