Existence of infinitely many solutions of nonlinear fourth-order discrete boundary value problems

被引：0
|
作者：
Chen, Yanshan [1 ,2 ]
Zhou, Zhan [1 ,2 ]
机构：
[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou, Peoples R China
[2] Guangzhou Univ, Guangzhou Ctr Appl Math, Guangzhou, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2022年 / 2022卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Infinitely many solutions; Fourth order; Discrete boundary value problem; Critical point theory; POSITIVE SOLUTIONS;
D O I：
10.1186/s13661-022-01640-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The fourth-order discrete Dirichlet boundary value problem is also a discrete elastic beam problem. In this paper, the existence of infinitely many solutions to this problem is investigated through the critical point theory. By an important inequality we established and the oscillatory behavior of f either near the origin or at infinity, we obtain the existence of infinitely many solutions, which either converge to zero or unbounded. In the end, two examples are presented to illustrate our results.
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页数：13
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