The main purpose of this paper is to investigate the existence of a positive periodic solution for a prescribed mean curvature generalized Liénard equation with a singularity (weak and strong singularities of attractive type, or weak and strong singularities of repulsive type). Our proof is based on an extension of Mawhin’s continuation theorem.

中文翻译：

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具有奇异性的规定平均曲率广义Liénard方程的正周期解

本文的主要目的是研究具有奇异性（吸引型的弱奇异性和强奇异性，排斥型的弱奇异性和强奇异性）的规定平均曲率广义Liénard方程的正周期解的存在性。我们的证明是基于Mawhin连续定理的扩展。