On the existence of periodic solutions to a p-Laplacian neutral differential equation in the critical case

被引：5

作者：

Lu, Shiping ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2009年 / 10卷 / 05期

关键词：

Periodic solution; Continuation theorem; Deviating argument;

D O I：

10.1016/j.nonrwa.2008.09.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the author studies the existence of periodic solutions for a second order neutral functional differential equation (phi(p)(x(t) - cx(t - tau))')' = f(x(t))x'(t) + g(t, x(t - mu(t))) + e(t) in the critical case vertical bar c vertical bar = 1. By analyzing some properties of the linear difference operator A : [Ax](t) = x(t) - cx(t - tau) and using Mawhin's continuation theorem, some new results are obtained. (C) 2009 Published by Elsevier Ltd

引用

页码：2884 / 2893

页数：10

共 7 条

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[4]

LU SP, NONLINEAR A IN PRESS

[5]

Mawhin J., 1993, LECT NOTES MATH, V1537, P74

[6] Periodic solutions for p-Laplacian neutral functional differential equation with multiple deviating arguments [J].

Zhu, Yanling ;

Lu, Shiping .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 336 (02) :1357-1367

[7] Periodic solutions for p-Laplacian neutral functional differential equation with deviating arguments [J].

Zhu, Yanling ;

Lu, Shiping .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 325 (01) :377-385

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