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Research Article | Open Access

Infinitely many periodic solutions for ordinary p(t)-Laplacian differential systems

Chungen Liu( ), Yuyou Zhong
School of Mathematics and Information Science, Guangzhou University, Guangzhou, 510006, China
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Abstract

In this paper, we consider the existence of infinitely many periodic solutions for some ordinary p(t)-Laplacian differential systems by minimax methods in critical point theory.

Keywords

periodic solutionsp(t)-Laplacian systemcritical pointsvariational method

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Electronic Research Archive
Volume 30 Issue 5,
May 2022
Pages 1653-1667
DOI: 10.3934/era.2022083

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Cite this article:
Liu C, Zhong Y. Infinitely many periodic solutions for ordinary p(t)-Laplacian differential systems. Electronic Research Archive, 2022, 30(5): 1653-1667. https://doi.org/10.3934/era.2022083

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Received: 14 September 2021
Revised: 08 November 2021
Accepted: 09 December 2021
Published: 15 May 2022
©2022 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)