Abstract and Applied Analysis

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

Yueding Yuan and Zhiming Guo

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Abstract

This paper deals with the existence and stability of periodic solutions for the following nonlinear neutral functional differential equation (d / d t) D u t = p ( t ) - a u ( t ) - a q u ( 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).

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 175479, 8 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393449451

Digital Object Identifier
doi:10.1155/2013/175479

Mathematical Reviews number (MathSciNet)
MR3039158

Zentralblatt MATH identifier
1279.34083

Citation

Yuan, Yueding; Guo, Zhiming. On the Existence and Stability of Periodic Solutions for a Nonlinear Neutral Functional Differential Equation. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 175479, 8 pages. doi:10.1155/2013/175479. https://projecteuclid.org/euclid.aaa/1393449451


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