Periodicity and stability in neutral nonlinear differential equations by Krasnoselskii‘s fixed point theorem
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Bouzid Mansouri
mansouri.math@yahoo.fr
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Abdelouaheb Ardjouni
abd_ardjouni@yahoo.fr
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Ahcene Djoudi
abd_ardjouni@yahoo.fr
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DOI:
https://doi.org/10.4067/S0719-06462017000300015Abstract
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.
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