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Research Article | Open Access

Multiple periodic solutions of parameterized systems coupling asymmetric components and linear components

Haihua Lu( ), Tianjue Shi
School of Mathematics and Statistics, Nantong University, Nantong 226019, China
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Abstract

We investigated the multiplicity of periodic solutions for parameterized systems coupling asymmetric components and linear components, where the nonlinearity is allowed to be sign-changing. Our approach was based on an extended version of the Poincaré-Birkhoff theorem, a rotation number approach, and a new existence result.

Keywords

periodic solutionsPoincaré-Birkhoff theoremparameterizedsign-changing
CLC number: 34B15, 34C25

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AIMS Mathematics
Volume 10 Issue 4,
April 2025
Pages 8988-9010
DOI: 10.3934/math.2025412

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Lu H, Shi T. Multiple periodic solutions of parameterized systems coupling asymmetric components and linear components. AIMS Mathematics, 2025, 10(4): 8988-9010. https://doi.org/10.3934/math.2025412

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Received: 28 December 2024
Revised: 04 April 2025
Accepted: 15 April 2025
Published: 15 April 2025
©2025 the Author(s), licensee AIMS Press.

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