On the Existence and Stability of Periodic Solutions for a Nonlinear Neutral Functional Differential Equation

被引：2

作者：

Yuan, Yueding ^{[1
,2
,3
]}

Guo, Zhiming ^{[1
,3
]}

机构：

[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China

[2] Yichun Univ, Sch Math & Comp Sci, Yichun 336000, Peoples R China

[3] Guangzhou Univ, Guangdong Higher Educ Inst, Key Lab Math & Interdisciplinary Sci, Guangzhou 510006, Guangdong, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2013年

基金：

中国国家自然科学基金;

关键词：

BOUNDARY VALUE PROBLEMS; DISTRIBUTED NETWORK; FORCED-OSCILLATIONS;

D O I：

10.1155/2013/175479

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the existence and stability of periodic solutions for the following nonlinear neutral functional differential equation (d/dt)Du(t) = p(t) - au(t) - aqu(t - r) - h(u(t), u(t-r)). By using Schauder-fixed-point theorem and Krasnoselskii-fixed-point theorem, some sufficient conditions are obtained for the existence of asymptotic periodic solutions. Main results in this paper extend the related results due to Ding (2010) and Lopes (1976).

引用

页数：8

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