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

共 50 条

[21] Periodic solutions for third order p-Laplacian equation with a deviating argument
Jin, Shan
Lu, Shiping
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2009, 346 (02): : 126 - 135
[22] Homoclinic solutions for a class of prescribed mean curvature Lienard equations
Lu, Shiping
ADVANCES IN DIFFERENCE EQUATIONS, 2015,
[23] Positive periodic solution of p-Laplacian Lienard type differential equation with singularity and deviating argument
Xin, Yun
Cheng, Zhibo
ADVANCES IN DIFFERENCE EQUATIONS, 2016, : 1 - 11
[24] Existence and uniqueness of periodic solutions for a p-Laplacian Duffing equation with a deviating argument
Gao, Fabao
Lu, Shiping
Zhang, Wei
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (10) : 3567 - 3574
[25] Periodic solutions for a kind of prescribed mean curvature Liénard equation with a singularity and a deviating argument
Shiping Lu
Fanchao Kong
Advances in Difference Equations, 2015
[26] Periodic solutions for a fourth-order p-Laplacian differential equation with a deviating argument
Shan, Jin
Lu Shiping
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (5-6) : 1710 - 1718
[27] New results on the existence of periodic solutions to a p-Laplacian differential equation with a deviating argument
Shiping Lu
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 336 (02) : 1107 - 1123
[28] Existence of periodic solutions for a fourth-order p-Laplacian equation with a deviating argument
Lu, Shiping
Jin, Shan
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 230 (02) : 513 - 520
[29] Existence of periodic solutions for a prescribed mean curvature Liénard p-Laplacian equation with two delays
Zhiyan Li
Tianqing An
Weigao Ge
Advances in Difference Equations, 2014
[30] Periodic solutions for p-Laplacian Rayleigh equations with a deviating argument
Peng, Shiguo
Zhu, Siming
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 67 (01) : 138 - 146

← 1 2 3 4 5 →