New results of periodic solutions for Rayleigh type p-Laplacian equation with a variable coefficient ahead of the nonlinear term

被引：4

作者：

Liang Feng ^{[1
]}

Guo Lixiang ^{[1
]}

Lu Shiping ^{[1
]}

机构：

[1] Anhui Normal Univ, Dept Math, Wuhu 241000, Anhui, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 05期

基金：

欧洲研究理事会;

关键词：

Periodic solution; p-Laplacian; Variable sign; Rayleigh equation; Deviating argument; Manasevich-Mawhin continuation theorem;

D O I：

10.1016/j.na.2008.02.107

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the existence of periodic solutions for the Rayleigh type p-Laplacian equation with a deviating argument (phi(p)(x'(t)))' + f(x'(t)) + beta(t)g(x(t - tau(t))) = e(t). The interest is that the function f(x) and the coefficient beta(t) are allowed to change signs, which is different from the corresponding ones of known literature. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：2072 / 2077

页数：6

共 7 条

[1]

[Anonymous], 2004, INTRO NONLINEAR FUNC

[2] Periodic solutions for p-Laplacian Rayleigh equations [J].

Cheung, Wing-Sum ;

Ren, Jingli .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 65 (10) :2003-2012

[3]

GAO F, 2007, NONLINEAR ANAL TMA

[4]

LIU B, 2007, NONLINEAR ANAL TMA

[5] On the existence of periodic solutions to p-Laplacian Rayleigh differential equation with a delay [J].

Lu, Shiping ;

Gui, Zhanjie .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 325 (01) :685-702

[6] Periodic solutions for nonlinear systems with p-Laplacian-like operators [J].

Manasevich, R ;

Mawhin, J .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1998, 145 (02) :367-393

[7] Periodic solutions for p-Laplacian Rayleigh equations with a deviating argument [J].

Peng, Shiguo ;

Zhu, Siming .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 67 (01) :138-146

← 1 →