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p-laplacian differential systems

Proceedings of the Royal Society of Edinburgh Section A: Mathematics (1)

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Rotating periodic solutions for p-Laplacian differential systems
Part of
- Qualitative theory
- General theory in ordinary differential equations
Tiefeng Ye, Wenbin Liu, Tengfei Shen
Journal:

Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 154 / Issue 5 / October 2024

Published online by Cambridge University Press:

30 August 2023, pp. 1604-1633

Print publication:

October 2024
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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.