Periodicity and stability in neutral nonlinear differential equations by Krasnoselskii‘s fixed point theorem

Bouzid Mansouri; Abdelouaheb Ardjouni; Ahcene Djoudi

doi:10.4067/S0719-06462017000300015

Periodicity and stability in neutral nonlinear differential equations by Krasnoselskii‘s fixed point theorem

Authors

Bouzid Mansouri Faculty of Sciences, Department of Mathematics Univ Annaba, P.O. Box 12, Annaba 23000, Algeria.
Abdelouaheb Ardjouni Faculty of Sciences and Technology, Department of Mathematics and Informatics Univ Souk Ahras, P.O. Box 1553, Souk Ahras, 41000, Algeria.
Ahcene Djoudi Applied Mathematics Lab, Faculty of Sciences, Department of Mathematics Univ Annaba, P.O. Box 12, Annaba 23000, Algeria.

DOI:

https://doi.org/10.4067/S0719-06462017000300015

Keywords:

Fixed point, periodic solutions, stability, neutral differential equations

Abstract

The nonlinear neutral functional differential equation with variable delay is investigated. By using Krasnoselskii‘s fixed point theorem we obtain the existence and the asymptotic stability of periodic solutions. Sufficient conditions are established for the existence and the stability of the above equation. Our results extend some results obtained in the work [19].

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Published

2017-10-01

How to Cite

[1]

B. Mansouri, A. Ardjouni, and A. Djoudi, “Periodicity and stability in neutral nonlinear differential equations by Krasnoselskii‘s fixed point theorem”, CUBO, vol. 19, no. 3, pp. 15–29, Oct. 2017.