Existence of periodic solutions for a p-Laplacian neutral functional differential equation

被引：8

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 / 71卷 / 1-2期

基金：

欧洲研究理事会;

关键词：

Periodic solution; Continuation theorem; Neutral functional differential equation; p-Laplacian; Variable sign;

D O I：

10.1016/j.na.2008.10.122

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of periodic solutions for a p-Laplacian neutral functional differential equation, as follows (phi(p)(x'(t) - c(t)x'(t - r)))' = f(x(t))x'(t) + beta(t)g(x(t - tau(t))) + e(t). It is meaningful that c(t) is not a constant function, and that the functions c(t) and beta(t) are allowed to change signs, which are different from the corresponding ones of known literature. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：427 / 436

页数：10

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