Periodic solutions of a 2nth-order nonlinear difference equation

被引：40

作者：

Zhou Zhan ^{[1
]}

Yu JianShe ^{[1
]}

Chen YuMing ^{[2
]}

机构：

[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China

[2] Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada

来源：

SCIENCE CHINA-MATHEMATICS | 2010年 / 53卷 / 01期

基金：

加拿大自然科学与工程研究理事会; 中国国家自然科学基金;

关键词：

periodic solution; nonlinear difference equation; critical point theory; HAMILTONIAN-SYSTEMS; SUBHARMONIC SOLUTIONS; EXISTENCE; DISCONJUGACY; OSCILLATION; THEOREMS; GROWTH;

D O I：

10.1007/s11425-009-0167-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a 2nth-order nonlinear difference equation is considered. Using the critical point theory, we establish various sets of sufficient conditions of the nonexistence and existence of periodic solutions. Results obtained complement or improve the existing ones.

引用

页码：41 / 50

页数：10

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