Multiple periodic solutions for resonant difference equations

被引:3
作者
Zhang, Jianming [1 ]
Wang, Shuli [1 ]
Liu, Jinsheng [1 ]
Cheng, Yurong [1 ]
机构
[1] Taiyuan Univ Technol, Coll Math, Taiyuan 030024, Shanxi, Peoples R China
来源
ADVANCES IN DIFFERENCE EQUATIONS | 2014年
基金
中国国家自然科学基金;
关键词
difference equations; periodic solutions; homological linking; critical group; Morse theory; BOUNDARY-VALUE-PROBLEMS; POSITIVE SOLUTIONS; NONTRIVIAL SOLUTIONS; EXISTENCE;
D O I
10.1186/1687-1847-2014-236
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we study the existence of multiple periodic solutions for nonlinear second-order difference equations with resonance at origin. The approach is based on critical point theory, minimax methods, homological linking and Morse theory.
引用
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页数:14
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