文章基本信息

标题：Singularities of attractive and repulsive type for p -Laplacian generalized Liénard equation
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作者：Yun Xin ; Hongmin Liu
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2018
卷号：2018
期号：1
页码：471
DOI：10.1186/s13662-018-1921-3
语种：English
出版社：Hindawi Publishing Corporation
摘要：This paper is devoted to an investigation of a kind of p-Laplacian generalized Liénard equations with singularities of attractive and repulsive type, where the nonlinear term g has a singularity at the origin. The novelty of the present article is that we show that singularities of attractive and repulsive type enable the achievement of a new existence criterion of a positive periodic solution through an application of the Manásevich–Mawhin theorem on continuity of the topological degree, recent results in the literature are generalized and significantly improved. Finally, some examples are given to show applications of the theorems.
关键词：Positive periodic solution ; p -Laplacian ; Singularity of attractive type ; Singularities of repulsive type ; Generalized Liénard equation