Existence of Periodic Solutions for a Class of Discrete Hamiltonian Systems

被引：6

作者：

Zhang, Qiongfen ^{[1
]}

Tang, X. H. ^{[1
]}

Zhang, Qi-Ming ^{[1
]}

机构：

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

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2011年 / 2011卷

关键词：

SUBHARMONIC SOLUTIONS;

D O I：

10.1155/2011/463480

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By applying minimax methods in critical point theory, we prove the existence of periodic solutions for the following discrete Hamiltonian systems Delta(2)u(t - 1) + del F(t, u(t)) = 0, where t is an element of Z, u is an element of R-N, F : Z x R-N -> R, F(t, x) is continuously differentiable in x for every t is an element of Z and is T-periodic in t; T is a positive integer.

引用

页数：14

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