一类时滞平均曲率p-Laplacian方程的周期解存在性与唯一性（英文）

Existence and Uniqueness of Periodic Solutions for a Prescribed Mean Curvature p-Laplacian Equation with a Deviating Argument

这篇文章主要讨论了一类时滞平均曲率p-Laplacian方程.通过运用重合度理论和一些分析技巧,得到此类方程周期解存在性与唯一性相关结论.我们给出相应的数字例子说明其方法以及给出条件的有效性并用MATLAB软件画出其数值解图.

This paper is concerned with the prescribed mean curvature p-Laplacian equation with a deviating argument. By employing Mawhin 's coincidence degree theorem and the analysis techniques,some new results on the existence and uniqueness of periodic solutions are obtained. A numerical example demonstrates the validity of the method and the numerical solution diagram is drawn out by MATLAB.