Homoclinic solutions for a class of second order discrete Hamiltonian systems

被引：10

作者：

Tang, Xian Hua ^{[1
]}

Lin, Xiao Yan ^{[1
,2
]}

机构：

[1] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Peoples R China

[2] Huaihua Coll, Dept Math, Huaihua 418008, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2012年 / 28卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Homoclinic solution; discrete Hamiltonian system; critical point; ADJOINT DIFFERENCE-EQUATIONS; PERIODIC-SOLUTIONS; ORBITS; EXISTENCE;

D O I：

10.1007/s10114-012-9233-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Consider the second order discrete Hamiltonian systems Delta(2)u(n - 1) - L(n)u(n) + del W(n, u(n)) = f(n), n is an element of Z, u is an element of R-N and W : Z x R-N --> R and f : Z --> R-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.

引用

页码：609 / 622

页数：14

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