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
收藏
页码：392 / 398
页数：7
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