Periodic solutions for a second-order partial difference equation

被引：9
|
作者：
Wang, Shaohong [1 ,2 ]
Zhou, Zhan [1 ,2 ]
机构：
[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China
[2] Guangzhou Univ, Guangzhou Ctr Appl Math, Guangzhou 510006, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2023年 / 69卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Partial difference equation; Periodic solution; Critical point theory; Superlinear; Sublinear; Asymptotically linear; BOUNDARY-VALUE PROBLEM; SINH-POISSON EQUATION; MULTIPLE SOLUTIONS; HOMOCLINIC SOLUTIONS; POSITIVE SOLUTIONS; DISCRETE; EXISTENCE; ORBITS; ARRAYS;
D O I：
10.1007/s12190-022-01769-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A second-order partial difference equation is considered in this paper. By applying critical point theory, we not only establish a series of sufficient conditions on the existence of periodic solutions when the nonlinearity respectively is superlinear, sublinear and asymptotically linear, but also give sufficient conditions on the nonexistence of nontrivial periodic solutions. Finally, we present some examples to illustrate our main results.
引用
收藏
页码：731 / 752
页数：22
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