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

被引：1
|
作者：
Lu, SP [1 ]
Ge, WG
Zheng, ZX
机构：
[1] Anhui Normal Univ, Dept Math, Wuhu 241000, Peoples R China
[2] Beijing Inst Technol, Dept Appl Math, Beijing 100081, Peoples R China
[3] Anhui Univ, Dept Math, Hefei 230039, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2005年 / 21卷 / 05期
基金：
中国国家自然科学基金;
关键词：
periodic solution; Mawhin's continuation theorem; neutral functional differential equation in the critical case;
D O I：
10.1007/s10114-005-0533-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the authors consider the existence of periodic solutions for a kind of second neutral functional differential equation as follows: (x(t) - cx(t - tau))'' = 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, some new results are obtained.
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页码：1149 / 1158
页数：10
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