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

页数：14