Nontrivial solutions for discrete boundary value problems with multiple resonance via computations of the critical groups

被引：8

作者：

Liu, Jinsheng ^{[1
]}

Wang, Shuli ^{[1
]}

Zhang, Jianming ^{[1
]}

Zhang, Fuwei ^{[1
]}

机构：

[1] Taiyuan Univ Technol, Coll Math, Taiyuan 030024, Shanxi, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 09期

基金：

美国国家科学基金会;

关键词：

Difference equations; Multiple resonance; Critical group; Morse theory; POSITIVE SOLUTIONS; EXISTENCE;

D O I：

10.1016/j.na.2012.02.003

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 nontrivial solutions for a class of second-order difference equations with multiple resonance at both infinity and the origin by applying the critical point theory and Morse theory. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：3809 / 3820

页数：12

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