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.
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页码：1042 / 1054
页数：13
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