一类奇性 $\phi$-Laplacian Rayleigh 型方程周期解的存在性

Abstract

Abstract:

In this paper, we consider a class of $\phi$-Laplacian Rayleigh equation, where the nonlinear term is non-autonomous and has a singularity at the origin. By applications of Mawhin's continuation theorem and some analysis methods, we prove the existence of periodic solutions to the equation with a strong singularity of repulsive type (or weak and strong singularities of attractive type).

Key words: Singularity, Rayleigh equation, $\phi$-Laplacian, Periodic solution

CLC Number:

O175.1

Qian Yuting, Zhou Xueliang, Cheng Zhibo. Existence of Periodic Solutions for $\phi$-Laplacian Rayleigh Equations with a Singularity[J].Acta mathematica scientia,Series A, 2024, 44(4): 896-906.

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References 19

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Existence of Periodic Solutions for $\phi$-Laplacian Rayleigh Equations with a Singularity

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