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.

引用

页码：1149 / 1158

页数：10

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