Periodic solutions to a second order nonlinear neutral functional differential equation in the critical case

被引：6
作者：
Lu, SP [1 ]
Gui, ZJ
Ge, WG
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
[3] Beijing Inst Technol, Dept Appl Math, Beijing 100081, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2006年 / 64卷 / 07期
基金：
中国国家自然科学基金;
关键词：
periodic solution; Mawhin's continuation theorem; critical case;
D O I：
10.1016/j.na.2005.06.055
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))x'(t) + g(t, x(t - mu(t))) + e(t) in the critical case vertical bar c vertical bar = 1. By employing Mawhin's continuation theorem and some analysis techniques, sufficient conditions are given for the existence of periodic solutions. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1587 / 1607
页数：21
相关论文
共 14 条
[11]   On the existence of periodic solutions for a kind of second order neutral functional differential equation [J].
Lu, SP ;
Ge, WG .
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2005, 21 (02) :381-392
[12]  
Ma SW, 1998, NONLINEAR ANAL-THEOR, V34, P443, DOI 10.1016/S0362-546X(97)00664-0
[13]  
Mawhin J., 1993, Lecture Notes in Math., LNM, V1537, P74
[14]   PERIODIC-SOLUTIONS FOR SOME NONLINEAR DIFFERENTIAL-EQUATIONS OF NEUTRAL TYPE [J].
SERRA, E .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1991, 17 (02) :139-151
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