Homoclinic Solutions for a Class of Second Order Discrete Hamiltonian Systems

被引：0
|
作者：
Xian Hua TANG [1 ]
Xiao Yan LIN [1 ,2 ]
机构：
[1] School of Mathematical Sciences and Computing Technology, Central South University
[2] Department of Mathematics, Huaihua College
来源：
Acta Mathematica Sinica,English Series | 2012年 / 03期
基金：
中国国家自然科学基金;
关键词：
Homoclinic solution; discrete Hamiltonian system; critical point;
D O I：
暂无
中图分类号：
O241.6 [线性代数的计算方法];
学科分类号：
070102 ;
摘要：
Consider the second order discrete Hamiltonian systems Δ2u(n-1)-L(n)u(n) + ▽W (n, u(n)) = f(n),where n ∈ Z, u ∈ RN and W : Z × RN → R and f : Z → RN are not necessarily periodic in n. Under some comparatively general assumptions on L, W and f , we establish results on the existence of homoclinic orbits. The obtained results successfully generalize those for the scalar case.
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页码：609 / 622
页数：14
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