Existence of periodic and subharmonic solutions for second-order superlinear difference equations

被引：0

作者：

Guo, ZM

Yu, JS ^{[1
]}

机构：

[1] Hunan Univ, Dept Appl Math, Changsha 410082, Peoples R China

[2] Taiyuan Normal Coll, Dept Math, Taiyuan 030012, Peoples R China

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS | 2003年 / 46卷 / 04期

关键词：

superlinear difference equation; periodic solution; subharmonic solution; critical point; linking;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By critical point theory, a new approach is provided to study the existence and multiplicity results of periodic and subharmonic solutions for difference equations. For secord-order difference equations Delta(2)x(n-1) + f(n, x(n)) = 0 some new results are obtained for the above problems when f (t, z) has superlinear growth at zero and at infinity in z.

引用

页码：506 / 515

页数：10

共 21 条

[1]

Agarwal RP, 1992, Difference equations and inequalities

[2]

[Anonymous], 1986, MINIMAX METHODS CRIT

[3] A CONTINUATION APPROACH TO SUPERLINEAR PERIODIC BOUNDARY-VALUE-PROBLEMS [J].