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Rotating periodic solutions for p-Laplacian differential systems

Part of: Qualitative theory General theory in ordinary differential equations

Published online by Cambridge University Press:  30 August 2023

Tiefeng Ye ,
Wenbin Liu  and
Tengfei Shen
Tiefeng Ye
Affiliation:
School of Mathematics, China University of Mining and Technology, Xuzhou, 221116 Jiangsu, PR China ([email protected], [email protected], [email protected])
Wenbin Liu
Affiliation:
School of Mathematics, China University of Mining and Technology, Xuzhou, 221116 Jiangsu, PR China ([email protected], [email protected], [email protected])
Tengfei Shen
Affiliation:
School of Mathematics, China University of Mining and Technology, Xuzhou, 221116 Jiangsu, PR China ([email protected], [email protected], [email protected])
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Abstract

In this paper, we study existence of rotating periodic solutions for p-Laplacian differential systems. We first build a new continuation theorem by topological degree, and then obtain the existence of rotating periodic solutions for two kinds of p-Laplacian differential systems via this continuation theorem, extend some existing relevant results.

Keywords

p-Laplacian differential systemsrotating periodic solutioncontinuation theoremtopological degree

MSC classification

Primary: 34A34: Nonlinear equations and systems, general
Secondary: 34C25: Periodic solutions
Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 154 , Issue 5 , October 2024 , pp. 1604 - 1633
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Copyright
Copyright © The Author(s), 2023. Published by Cambridge University Press on behalf of The Royal Society of Edinburgh

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