Existence of multiple solutions to second-order discrete Neumann boundary value problems

被引：37
|
作者：
Long, Yuhua [1 ]
Chen, Jiali
机构：
[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2018年 / 83卷
关键词：
Difference equation; Neumann boundary value problem; Sign-changing solution; Invariant set of descending flow; SIGN-CHANGING SOLUTIONS;
D O I：
10.1016/j.aml.2018.03.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By using the invariant set of descending flow and variational method, we establish the existence of multiple solutions to a class of second-order discrete Neumann boundary value problems. The solutions include sign-changing solutions, positive solutions, and negative solutions. An example is given to illustrate our results. (C) 2018 Elsevier Ltd. All rights reserved.
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页码：7 / 14
页数：8
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