Multiple periodic solutions for resonant difference equations

Advances in Difference Equations

Jinsheng Liu¹  Jianming Zhang¹  Shuli Wang¹  Yurong Cheng¹ 

[1] College of Mathematics, Taiyuan University of Technology, Taiyuan, Shanxi, P.R. China

关键词: difference equations;    periodic solutions;    homological linking;    critical group;    Morse theory;   

DOI  :  10.1186/1687-1847-2014-236

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY