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

Haihua Lu; Tianjue Shi; Haihua Lu; Tianjue Shi

doi:10.3934/math.2025412

AIMS Mathematics

2025, Volume 10, Issue 4: 8988-9010. doi: 10.3934/math.2025412

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Research article

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

Received: 28 December 2024 Revised: 04 April 2025 Accepted: 15 April 2025 Published: 18 April 2025
MSC : 34B15, 34C25

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.
- periodic solutions,
- Poincaré-Birkhoff theorem,
- parameterized,
- sign-changing
Citation: Haihua Lu, Tianjue Shi. Multiple periodic solutions of parameterized systems coupling asymmetric components and linear components[J]. AIMS Mathematics, 2025, 10(4): 8988-9010. doi: 10.3934/math.2025412

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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.

References

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