Multiple nontrivial periodic solutions to a second-order partial difference equation-Reference-Cited by-同舟云学术

Multiple nontrivial periodic solutions to a second-order partial difference equation

Published:2023 Issue:3 Volume:31 Page:1596-1612
ISSN:2688-1594
Container-title:Electronic Research Archive
language:
Short-container-title:era

Author:

Long Yuhua¹²,Li Dan¹²

Affiliation:

1. School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China

2. Guangzhou Center for Applied Mathematics, Guangzhou University, Guangzhou 510006, China

Abstract

<abstract><p>In this article, applying variational technique as well as critical point theory, we establish a series of criteria to ensure the existence and multiplicity of nontrivial periodic solutions to a second-order nonlinear partial difference equation. Our results generalize some known results. Moreover, numerical stimulations are presented to illustrate applications of our major findings.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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