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

[31] PERIODIC SOLUTIONS TO A p-LAPLACIAN NEUTRAL RAYLEIGH EQUATION WITH DEVIATING ARGUMENT
Du, Bo
Hu, Xueping
APPLICATIONS OF MATHEMATICS, 2011, 56 (03) : 253 - 264
[32] Periodic solutions for p-Laplacian neutral Rayleigh equation with a deviating argument
Peng, Shiguo
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (5-6) : 1675 - 1685
[33] 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
[34] PERIODIC SOLUTIONS OF A KIND OF LIENARD EQUATIONS WITH TWO DEVIATING ARGUMENTS
Ma, Tiantian
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2014, 44 (02) : 337 - 348
[35] PERIODIC SOLUTIONS FOR P-LAPLACIAN NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH MULTIPLE DEVIATING ARGUMENTS
Anane, Aomar
Chakrone, Omar
Moutaouekkil, Loubna
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
[36] Existence of periodic solutions for a prescribed mean curvature Lienard p-Laplacian equation with two delays
Li, Zhiyan
An, Tianqing
Ge, Weigao
ADVANCES IN DIFFERENCE EQUATIONS, 2014,
[37] p-Laplacian and Lienard-type equation
Manasevich, R
Sedziwy, S
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1997, 27 (02) : 611 - 617
[38] 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
[39] Periodic solutions for p-Laplacian neutral functional differential equation with deviating arguments (vol 325, pg 377, 2007)
Zhu, Yanling
Lu, Shiping
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 335 (02) : 1482 - 1483
[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 →