Homoclinic Solutions for a Prescribed Mean Curvature Lienard p-Laplacian Equation with a Deviating Argument  

作　　者：兰德新 陈文斌 

机构地区：[1]Department of Mathematics,Wuyi University,Wuyishan

出　　处：《Journal of Donghua University(English Edition)》2016年第3期392-398,共7页东华大学学报（英文版）

基　　金：Natural Foundation of Wuyi University,China(No.XQ201305);Young-Middle-Aged Teachers Education Scientific Research Project in Fujian Province,China(No.JA15524)

摘　　要：Homoclinic solutions were introduced for a prescribed mean curvature Lienard p-Laplacian equation with a deviating argument.It was divided into three parts to discuss the existence of homoclinic solutions.By using an extension of Mawhin's continuation theorem,the existence of a set with 2kT-periodic for a prescribed mean curvature Lienard p-Laplacian equation with a deviating argument was studied.According to a limit on a certain subsequence of 2kT-periodic set,homoclinic solutions were obtained.A numerical example demonstrates the validity of the main results.Homoclinic solutions were introduced for a prescribed mean curvature Lienard p-Laplacian equation with a deviating argument.It was divided into three parts to discuss the existence of homoclinic solutions.By using an extension of Mawhin＇s continuation theorem,the existence of a set with 2kT-periodic for a prescribed mean curvature Lienard p-Laplacian equation with a deviating argument was studied.According to a limit on a certain subsequence of 2kT-periodic set,homoclinic solutions were obtained.A numerical example demonstrates the validity of the main results.

关 键 词：homoclinic solution Lienard p-Laplacian equation continuation theorem prescribed mean curvature 

分 类 号：O175.1[理学—数学] O175.3[理学—基础数学]