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.

引用

页码：609 / 622

页数：14

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