Homoclinic orbits for second order discrete Hamiltonian systems with potential changing sign

被引：34

作者：

Deng, Xiaoqing ^{[1
]}

Cheng, Gong ^{[2
]}

机构：

[1] Hunan Business Coll, Dept Informat, Changsha 410205, Hunan, Peoples R China

[2] Cent S Univ, Sch Geosci & Environm Engn, Changsha 410083, Peoples R China

来源：

ACTA APPLICANDAE MATHEMATICAE | 2008年 / 103卷 / 03期

关键词：

homoclinic orbits; second order discrete Hamiltonian systems; critical point theory;

D O I：

10.1007/s10440-008-9237-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a class of second order discrete Hamiltonian systems without any periodicity assumptions are considered. Base on the critical point theory, some sufficient conditions for the existence of homoclinic orbits are obtained. The results obtained extend the results in [2006] by relaxing the assumptions on the sign of the potential.

引用

页码：301 / 314

页数：14

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