Multiple periodic solutions for superquadratic second-order discrete Hamiltonian systems

被引：23

作者：

Xue, Yan-Fang ^{[1
,2
]}

Tang, Chun-Lei ^{[1
]}

机构：

[1] Southwest Univ, Dept Math, Chongqing 400715, Peoples R China

[2] Xinyang Normal Univ, Coll Math & Informat Sci, Xinyang City 464000, Henan, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 196卷 / 02期

基金：

中国国家自然科学基金;

关键词：

discrete Hamiltonian systems; periodic solution; critical points; (PS) condition; local linking;

D O I：

10.1016/j.amc.2007.06.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some multiplicity results are obtained for periodic solutions of the nonautonomous superquadratic second-order discrete Hamiltonian systems Delta(2)u(t - 1) + Delta F(t, u(t)) = 0 for all t is an element of Z by using critical point theory, especially, a three critical points theorem proposed by Brezis and Nirenberg. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：494 / 500

页数：7

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