一类Duffing型p-Laplacian平均曲率方程周期解

Periodic Solutions for a Kind of Prescribed Mean Curvature Duffing-type p-Laplacian Equation with a Deviating Argument

考虑了一类Duffing型p-Laplacian平均曲率方程周期解存在性问题.通过运用Mawhin重合度拓展定理和一些积分分析技巧,获得了此类平均曲率方程至少存在一个T-周期解.一个具体的数值例子充分说明了本文方法与结论的有效性.此外,用Matlab画出了其数值解图.

Laplacian theory and results. In We investigate the existence of periodic solutions for a class of prescribed mean curvature Duffing-type pequation with a deviating argument. One T-periodic solution is devised by using the coincidence degree some integral analysis methods. A numerical example demonstrates the validity of the main method and addition, the numerical solution diagram is obtained by Matlab.