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.
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页码：129 / 149
页数：21
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