一类具有偏差变元的p-Laplacian Liénard型方程在吸引奇性条件下周期解的存在性

Abstract

Abstract:

In this paper, we consider a kind of $p$-Laplacian singular Liénard equation with time-dependent deviating argument

$(\varphi_p(x'(t)))'+f(x(t))x'(t)+g(t, x(t-\sigma(t)))=e(t), $

where $g$ has a attractive singularity at $x=0$. By applications of Manásevich-Mawhin continuation theorem and some analysis skills, sufficient conditions for the existence of periodic solution is established.

Key words: Liénard equation, Periodic solution, Attractive singularity, p-Laplacian, Time-dependent deviating argument

CLC Number:

O175.12

Zhibo Cheng,Zhonghua Bi,Shaowen Yao. Periodic Solution for p-Laplacian Liénard Equation with Attractive Singularity and Time-Dependent Deviating Argument[J].Acta mathematica scientia,Series A, 2019, 39(2): 277-285.

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References 14

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Periodic Solution for p-Laplacian Liénard Equation with Attractive Singularity and Time-Dependent Deviating Argument

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