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.
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页码：506 / 515
页数：10
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