Homoclinic solutions for a class of second order discrete Hamiltonian systems

被引：8
|
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
收藏
页码：609 / 622
页数：14
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