Multiple solutions of fourth-order functional difference equation with periodic boundary conditions

被引：14
|
作者：
Wang, Shaohong [1 ,2 ]
Long, Yuhua [1 ,2 ]
机构：
[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China
[2] Guangzhou Univ, Ctr Appl Math, Guangzhou 510006, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2020年 / 104卷 / 104期
关键词：
Multiple nontrivial solution; Fourth-order periodic boundary-value problem; Invariant sets of descending flow; EXISTENCE;
D O I：
10.1016/j.aml.2020.106292
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper, we investigate the existence of multiple solutions, including sign-changing solutions, positive solutions and negative solutions, of a discrete fourth-order periodic boundary-value problem. The main results are based on the invariant sets of descending flow and variational techniques. Additionally, We provide an example to demonstrate the application of our theoretical results. (C) 2020 Elsevier Ltd. All rights reserved.
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页数：7
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