New results on periodic solutions for a p-Laplacian Lienard equation with a deviating argument

被引：0

作者：

Dexiang-Ma ^{[1
]}

Weigao-Ge

Xuegang-Chen

机构：

[1] N China Elect Power Univ, Dept Math, Beijing 102206, Peoples R China

[2] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China

来源：

HOUSTON JOURNAL OF MATHEMATICS | 2006年 / 32卷 / 04期

关键词：

periodic solution; Mawhin's continuation theorem; deviating argument; p-Laplacian;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By employing Mawhin's continuation theorem, the existence of periodic solutions of the p-Laplacian Lienard equation with a deviating argument (phi(p)(x'))'(t) + f(x(t))x'(t) + g (x (t - tau (t, x(t)))) = e(t) under various assumptions are obtained. We give no restriction on the deviating function tau.

引用

页码：1227 / 1239

页数：13

共 50 条

[31] New results of periodic solutions for a Rayleigh equation with a deviating argument
Yong Wang
Zeitschrift für angewandte Mathematik und Physik, 2009, 60 : 583 - 593
[32] Existence and uniqueness of periodic solutions for a kind of Lienard equation with a deviating argument
Liu, Bingwen
Huang, Lihong
APPLIED MATHEMATICS LETTERS, 2008, 21 (01) : 56 - 62
[33] New results of periodic solutions for a Rayleigh equation with a deviating argument
Wang, Yong
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2009, 60 (04): : 583 - 593
[34] A new method for the existence of periodic solution to a p-Laplacian Lienard equation
Du, Bo
Zhao, Xiangkui
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2009, 29 (1-2) : 481 - 490
[35] Periodic solutions for prescribed mean curvature Lienard equation with a deviating argument
Feng, Meiqiang
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2012, 13 (03) : 1216 - 1223
[36] PERIODIC SOLUTIONS TO p-LAPLACIAN GENERALIZED LINARD EQUATION WITH DEVIATING ARGUMENTS
Zhu Yanling
Annals of Applied Mathematics, 2008, (02) : 246 - 252
[37] Periodic solutions for p-Laplacian neutral functional differential equation with deviating arguments
Zhu, Yanling
Lu, Shiping
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 325 (01) : 377 - 385
[38] Existence and uniqueness of periodic solutions for a kind of Lienard type p-Laplacian equation
Liu, Bingwen
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (02) : 724 - 729
[39] THE EXISTENCE OF ANTI-PERIODIC SOLUTION TO A p-LAPLACIAN FUNCTIONAL DIFFERENTIAL EQUATION WITH A DEVIATING ARGUMENT
Feng Liang
Annals of Applied Mathematics, 2010, 26 (03) : 267 - 271
[40] A necessary and sufficient condition for existence and uniqueness of periodic solutions for a p-Laplacian Lienard equation
Zhang, Liehui
Wang, Yong
Tian, Junkang
Zhang, Liang
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2011, (62) : 1 - 7

← 1 2 3 4 5 →