Positive periodic solution for p-Laplacian neutral Rayleigh equation with singularity of attractive type

Yun Xin; Hongmin Liu; Zhibo Cheng

doi:10.1186/s13660-018-1654-6

Positive periodic solution for p-Laplacian neutral Rayleigh equation with singularity of attractive type

J Inequal Appl. 2018;2018(1):58. doi: 10.1186/s13660-018-1654-6. Epub 2018 Mar 14.

Authors

Yun Xin¹, Hongmin Liu¹, Zhibo Cheng^{2

3}

Affiliations

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

Abstract

In this paper, we consider a kind of p-Laplacian neutral Rayleigh equation with singularity of attractive type, [Formula: see text] By applications of an extension of Mawhin's continuation theorem, sufficient conditions for the existence of periodic solution are established.

Keywords: Neutral operator; Periodic solution; Rayleigh equation; Singularity of attractive type; p-Laplacian.