Multibump solutions of a class of second-order discrete Hamiltonian systems

被引：3

作者：

Zhang, Xu ^{[1
]}

机构：

[1] Shandong Univ, Dept Math, Jinan 250100, Shandong, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 236卷

关键词：

Discrete Hamiltonian system; Homoclinic orbit; Multibump solution; Variational method; HOMOCLINIC ORBITS; SUBHARMONIC SOLUTIONS;

D O I：

10.1016/j.amc.2014.02.077

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a class of second- order discrete Hamiltonian systems Delta(2)x(t-1) - L(t)x(t) + V'(x()t,x(t)) = 0. we investigate the existence of homoclinic orbits by applying variational method, where L and V(.,x) are periodic functions. Further, we show that there exist either uncountable many homoclinic orbits or multibump solutions under certain conditions. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：129 / 149

页数：21

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