On the Existence and Stability of Periodic Solutions for a Nonlinear Neutral Functional Differential Equation. (31st March 2013)

• Record Type: Journal Article
• Authors: Yuan, Yueding; Guo, Zhiming
• Other Names: Huang Chuangxia Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2013(2013)
• Publication Date: 2013-03-31
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2013/175479
• Languages: English
• ISSNs: 1085-3375

Abstract

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).