Periodic solutions for Lienard type p-Laplacian equation with two deviating arguments

被引：0

作者：

Wang, Lijuan ^{[2
]}

Shao, Jianying ^{[2
]}

Meng, Hua ^{[1
]}

Xiao, Bing ^{[1
]}

Long, Fei ^{[3
]}

机构：

[1] Hunan Univ Arts & Sci, Dept Math, Changde 415000, Hunan, Peoples R China

[2] Jiaxing Univ, Coll Math & Informat Engn, Jiaxing 314001, Zhejiang, Peoples R China

[3] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 224卷 / 02期

关键词：

p-Laplacian; Lienard equation; Deviating argument; Periodic solution; Coincidence degree; DIFFERENTIAL-EQUATION; KIND;

D O I：

10.1016/j.cam.2008.06.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the Lienard type p-Laplacian equation with two deviating arguments (phi(p)(x'(t)))' + f(x(t))x'(t) + g(1)(t.x(t - tau(1)(t))) + g(2)(t.x(t - tau(2)(t))) = e(t) is studied. By applying the coincidence degree theory, we obtain some new results oil the existence of periodic solutions to this equation. Our results improve and extend some existing ones in the literature. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：751 / 758

页数：8

共 50 条

[1] Periodic solutions for Lienard type p-Laplacian equation with a deviating argument
Liu, Bingwen
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 214 (01) : 13 - 18
[2] Periodic solutions for Rayleigh type p-Laplacian equation with deviating arguments
Zong, Minggang
Liang, Hongzhen
APPLIED MATHEMATICS LETTERS, 2007, 20 (01) : 43 - 47
[3] Periodic solutions for p-Laplacian Lienard equation with a deviating argument
Cheung, WS
Ren, JL
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 59 (1-2) : 107 - 120
[4] Existence of periodic solutions for a Lienard type p-Laplacian differential equation with a deviating argument
Gao, Fabao
Lu, Shiping
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (12) : 4754 - 4763
[5] Periodic solutions for p-Laplacian differential equation with multiple deviating arguments
Cheung, WS
Ren, JL
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 62 (04) : 727 - 742
[6] PERIODIC SOLUTIONS FOR A LIENARD EQUATION WITH TWO DEVIATING ARGUMENTS
Wang, Yong
Tian, Junkang
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2009,
[7] Existence of periodic solutions to a p-Laplacian Lienard differential equation with a deviating argument
Lu, Shiping
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (06) : 1453 - 1461
[8] New results on periodic solutions for a p-Laplacian Lienard equation with a deviating argument
Dexiang-Ma
Weigao-Ge
Xuegang-Chen
HOUSTON JOURNAL OF MATHEMATICS, 2006, 32 (04): : 1227 - 1239
[9] Periodic solutions for a Lienard type p-Laplacian differential equation
Meng, Hua
Long, Fei
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 224 (02) : 696 - 701
[10] PERIODIC SOLUTIONS TO p-LAPLACIAN GENERALIZED LINARD EQUATION WITH DEVIATING ARGUMENTS
Zhu Yanling
Annals of Differential Equations, 2008, (02) : 246 - 252

← 1 2 3 4 5 →