Stability in totally nonlinear neutral differential equations with variable delay

A Ardjouni, I Derrardjia, A Djoudi - Acta Mathematica …, 2014 - iam.fmph.uniba.sk
In this paper, we use a fixed point technique and the concept of large contractions to prove
asymptotic stability results of the zero solution of a class of the totally nonlinear neutral …

Asymptotic stability in Caputo-Hadamard fractional dynamic equations

A Ardjouni - Results in Nonlinear Analysis, 2021 - dergipark.org.tr
Asymptotic stability in Caputo-Hadamard fractional dynamic equations Page 1 Results in
Nonlinear Analysis 4 (2021) No. 2, 77 86 https://doi.org/10.53006/rna.865900 Available online …

Study of the stability in nonlinear neutral differential equations with functional delay using Krasnoselskii–Burton's fixed-point

MB Mesmouli, A Ardjouni, A Djoudi - Applied Mathematics and …, 2014 - Elsevier
In this paper, we use a modification of Krasnoselskii's fixed point theorem introduced by
Burton (2002)(see [6] Theorem 3) to obtain stability results of the zero solution of the totally …

Stability in totally nonlinear neutral dynamic equations on time scales

M Belaid, A Ardjouni, A Djoudi - International Journal of Analysis and …, 2016 - etamaths.com
Let T be a time scale which is unbounded above and below and such that 0∈ T. Let id-Ï
„:[0,∞) ∩ Tâ†'T be such that (id-Ï „)([0,∞) ∩ T) is a time scale. We use the Krasnoselskii …

Stability in neutral nonlinear differential equations with functional delay using Krasnoselskii-Burton's fixed-point.

MB Mesmouli, A Ardjouni, A Djoudi - Nonlinear Studies, 2014 - search.ebscohost.com
In this paper, we use a modification of Krasnoselskii's fixed point theorem introduced by
Burton (see [6] Theorem 3) to obtain stability results of the zero solution of the totally …

[PDF][PDF] Asymptotic stability in nonlinear neutral Levin-Nohel integro-differential equations

K Bessioud, A Ardjouni, A Djoudi - Journal of Nonlinear …, 2017 - scholar.archive.org
In this paper we use the contraction mapping theorem to obtain asymptotic stability results
about the zero solution for the following nonlinear neutral Levin-Nohel integro-differential …

Stability in nonlinear Levin-Nohel integro-differential equations.

MB Mesmouli, A Ardjouni, A Djoudi - Nonlinear Studies, 2015 - search.ebscohost.com
In this paper, we use a Banach fixed point theorem to obtain stability results of the zero
solution of a nonlinear Levin-Nohel integro-differential equations with functional delay. To …

Stability by Krasnoselskii's fixed point theorem for nonlinear fractional dynamic equations on a time scale

M Belaid, A Ardjouni, H Boulares… - Honam Mathematical …, 2019 - koreascience.kr
In this paper, we give sufficient conditions to guarantee the asymptotic stability of the zero
solution to a kind of nonlinear fractional dynamic equations of order ${\alpha} $(1< ${\alpha} …

Study of asymptotic behavior of solutions of neutral mixed type difference equations

M Gouasmia, A Ardjouni… - Open Journal of …, 2020 - article.researchpromo.com
Study of asymptotic behavior of solutions of neutral mixed type difference equations Page 1
Article Study of asymptotic behavior of solutions of neutral mixed type difference equations …

[PDF][PDF] Global asymptotic stability in nonlinear neutral dynamic equations on time scales

M Belaid, A Ardjouni, A Djoudi - Journal of Nonlinear Functional …, 2018 - scholar.archive.org
This paper is mainly concerned the global asymptotic stability of the zero solution of a class
of nonlinear neutral dynamic equations in C1 rd. By converting the nonlinear neutral …