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On the Existence and Stability of Periodic Solutions for a Nonlinear Neutral Functional Differential Equation
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-31
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
This paper deals with the existence and stability of periodic solutions for the following nonlinear neutral functional differential equation (d/dt)Dut=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).
American Psychological Association (APA)
Yuan, Yueding& Guo, Zhiming. 2013. On the Existence and Stability of Periodic Solutions for a Nonlinear Neutral Functional Differential Equation. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-451960
Modern Language Association (MLA)
Yuan, Yueding& Guo, Zhiming. On the Existence and Stability of Periodic Solutions for a Nonlinear Neutral Functional Differential Equation. Abstract and Applied Analysis No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-451960
American Medical Association (AMA)
Yuan, Yueding& Guo, Zhiming. On the Existence and Stability of Periodic Solutions for a Nonlinear Neutral Functional Differential Equation. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-451960
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-451960