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

被引：0

作者：

兰德新 ^{[1
]}

陈文斌 ^{[1
]}

机构：

[1] Department of Mathematics,Wuyi University,Wuyishan

来源：

JournalofDonghuaUniversity(EnglishEdition) | 2016年 / 33卷 / 03期

关键词：

homoclinic solution; Lienard p-Laplacian equation; continuation theorem; prescribed mean curvature;

D O I：

10.19884/j.1672-5220.2016.03.009

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

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.

引用

页码：392 / 398

页数：7

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