Existence and Nonexistence of Periodic Solutions for a Class of Fourth-Order Partial Difference Equations

In this paper, we investigate multiplicity, existence, and nonexistence of periodic solutions to a fourth-order partial difference equation via linking theorem and saddle point theorem. Our obtained results significantly generalize and improve some existing ones. We also provide examples and numeric...

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Bibliographic Details
Main Authors: Dan Li, Yuhua Long
Format: Article
Language:English
Published: Wiley 2025-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/jom/2982321
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Summary:In this paper, we investigate multiplicity, existence, and nonexistence of periodic solutions to a fourth-order partial difference equation via linking theorem and saddle point theorem. Our obtained results significantly generalize and improve some existing ones. We also provide examples and numerical simulations to illustrate applications of our main results.
ISSN:2314-4785