Study on a kind of ϕ-Laplacian Liénard equation with attractive and repulsive singularities

Yun Xin; Zhibo Cheng

doi:10.1186/s13660-017-1410-3

Study on a kind of ϕ-Laplacian Liénard equation with attractive and repulsive singularities

J Inequal Appl. 2017;2017(1):180. doi: 10.1186/s13660-017-1410-3. Epub 2017 Aug 3.

Authors

Yun Xin¹, Zhibo Cheng^{2

3}

Affiliations

¹ College of Computer Science and Technology, Henan Polytechnic University, Jiaozuo, China.
² School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, 454000 China.
³ Department of Mathematics, Sichuan University, Chengdu, 610064 China.

Abstract

In this paper, by application of the Manasevich-Mawhin continuation theorem, we investigate the existence of a positive periodic solution for a kind of ϕ-Laplacian singular Liénard equation with attractive and repulsive singularities.

Keywords: Liénard equation; attractive singularity; positive periodic solution; repulsive singularity; ϕ-Laplacian.