On the existence of periodic solutions to Rayleigh differential equation of neutral type in the critical case

被引：2

作者：

Lu, Shiping ^{[1
]}

Gui, Zhanjie

机构：

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

[2] Hainan Normal Univ, Dept Math, Haikou 571158, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 67卷 / 04期

基金：

中国国家自然科学基金;

关键词：

periodic solution; continuation theorem; deviating argument;

D O I：

10.1016/j.na.2006.06.032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the authors study the existence of periodic solutions for a second order neutral functional differential equation (x (t) - cx (t - tau))'' = f (x'(t)) + g (t, x (t - mu(t))) + e (t) in the critical case \c\ = 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) 2006 Elsevier Ltd. All rights reserved.

引用

页码：1042 / 1054

页数：13

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