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Research Article | Open Access

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

Yuhua Long1,2( ), Dan Li1,2
School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China
Guangzhou Center for Applied Mathematics, Guangzhou University, Guangzhou 510006, China
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Abstract

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.

Keywords

critical point theorypartial difference equationnontrivial periodic solutionsvariational technique

References

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Electronic Research Archive
Volume 31 Issue 3,
March 2023
Pages 1596-1612
DOI: 10.3934/era.2023082

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Cite this article:
Long Y, Li D. Multiple nontrivial periodic solutions to a second-order partial difference equation. Electronic Research Archive, 2023, 31(3): 1596-1612. https://doi.org/10.3934/era.2023082

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Received: 21 October 2022
Revised: 09 January 2023
Accepted: 15 January 2023
Published: 15 March 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)