Homoclinic solutions for a class of second order discrete Hamiltonian systems期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Homoclinic solutions for a class of second order discrete Hamiltonian systems

Authors:	Xian Hua Tang Xiao Yan Lin

Affiliation:	(1) School of Mathematical Sciences and Computing Technology, Central South University, Changsha, 410083, P. R. China;(2) Department of Mathematics, Huaihua College, Huaihua, 418008, P. R. China

Abstract:	Consider the second order discrete Hamiltonian systems $Delta ^2 u(n - 1) - L(n)u(n) + nabla W(n,u(n)) = f(n),$ where n ∈ ?, u ∈ ?^N and W: ? × ?^N → ? and f: ? → ?^N 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.

Keywords:	Homoclinic solution discrete Hamiltonian system critical point
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