Existence of homoclinic solutions for a class of second-order non-autonomous Hamiltonian systems

被引：3

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：

MATHEMATICA SLOVACA | 2012年 / 62卷 / 05期

基金：

中国国家自然科学基金;

关键词：

homoclinic solutions; critical point; second-order Hamiltonian systems; Mountain Pass Theorem; ORBITS;

D O I：

10.2478/s12175-012-0054-5

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 second-order Hamiltonian systems is obtained. The result obtained generalizes and improves some known works.

引用

页码：909 / 920

页数：12

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