Periodic solutions of p-Laplacian equations with singularities

被引：0

作者：

Shipin Lu

Tao Zhong

Yajing Gao

机构：

[1] Nanjing University of Information Science and Technology,College of Mathematics and Statistics

来源：

Advances in Difference Equations | / 2016卷

关键词：

Liénard equation; topological degree; singularity; periodic solution;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, the problem of existence of periodic solution is studied for p-Laplacian Liénard equations with singular at x=0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$x=0$\end{document} and x=+∞\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$x=+\infty$\end{document}. By using the topological degree theory, some new results are obtained, and an example is given to illustrate the effectiveness of our results. Our research enriches the contents of second order differential equations with singularity.

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