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

作　　者：陈文斌[1] 董良[1] CHEN Wen-bin DONG Liang(School of Mathematics and Computer Science, Wuyi University, Wuyishan 354300, Chin)

机构地区：[1]武夷学院数学与计算机学院,福建武夷山354300

出　　处：《烟台大学学报（自然科学与工程版）》2016年第4期244-251,共8页Journal of Yantai University(Natural Science and Engineering Edition)

基　　金：福建省中青年教师教育科研项目(JA15524);武夷学院青年教师科研项目(XQ201305)

摘　　要：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.

关 键 词：周期解 平均曲率 重合度定理 Duffing型 P-LAPLACIAN方程 

分 类 号：O175.1[理学—数学] O177.92[理学—基础数学]