Subharmonic solutions and homoclinic orbits of second order discrete Hamiltonian systems with potential changing sign

被引：14

作者：

Deng, Xiaoqing ^{[1
]}

Cheng, Gong ^{[2
]}

Shi, Haiping ^{[3
]}

机构：

[1] Hunan Univ Commerce, Coll Informat, Changsha 410205, Hunan, Peoples R China

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

[3] Guangdong Baiyun Inst, Basic Courses Dept, Guangzhou 510450, Guangdong, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2009年 / 58卷 / 06期

关键词：

Periodic solutions; Subharmonic solutions; Homoclinic orbits; Second order discrete Hamiltonian systems; Critical point theory; BOUNDARY-VALUE-PROBLEMS; PERIODIC-SOLUTIONS; EXISTENCE;

D O I：

10.1016/j.camwa.2009.06.045

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 with periodicity assumptions is considered. Based on the critical point theory, some sufficient conditions for the existence of subharmonic solutions and homoclinic orbits are obtained. The results obtained extend the results in 2007 by relaxing the assumptions on the sign of the potential. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1198 / 1206

页数：9

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