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

Joint Authors

Guo, Zhiming
Yuan, Yueding

Source

Abstract and Applied Analysis

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

Mathematics

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