Search Results - "Lakrib, Mustapha"

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  1. 1

    Averaging method for ordinary differential inclusions with maxima by Bachir Bar, Mustapha Lakrib

    “…We consider ordinary differential inclusions with maxima perturbed by a small parameter and give justification of the method of averaging for this type of…”
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    Journal Article
  2. 2

    Solvability and stability analysis of a coupled system involving generalized fractional derivatives by Djaout, Abdallah, Benbachir, Maamar, Lakrib, Mustapha, Matar, Mohammed M., Khan, Aziz, Abdeljawad, Thabet

    Published in AIMS mathematics (2023)
    “…In this article, we investigate the existence of unique maximal and minimal solutions for a coupled differential system in terms of generalized fractional…”
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  3. 3

    Averaging for ordinary differential equations perturbed by a small parameter by Mustapha Lakrib, Tahar Kherraz, Amel Bourada

    Published in Mathematica bohemica (01-01-2016)
    “…In this paper, we prove and discuss averaging results for ordinary differential equations perturbed by a small parameter. The conditions we assume on the…”
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    Journal Article
  4. 4

    Existence of solutions for impulsive neutral functional differential equations with multiple delays by Mustapha Lakrib

    “…In this paper an existence result for initial value problems for first order impulsive neutral functional differential equations with multiple delay is proved…”
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  5. 5

    Time averaging for ordinary differential equations and retarded functional differential equations by Lakrib, Mustapha, Sari, Tewfik

    “…We prove averaging theorems for non-autonomous ordinary differential equations and retarded functional differential equations in the case where the vector…”
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  6. 6

    TIME AVERAGING FOR FUNCTIONAL DIFFERENTIAL EQUATIONS by Lakrib, Mustapha

    Published in Journal of Applied Mathematics (2003)
    “…We present a result on the averaging for functional differential equations on finite time intervals. The result is formulated in both classical mathematics and…”
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  7. 7

    On the averaging method for differential equations with delay by Mustapha Lakrib

    “…In this paper, we present averaging results for delay differential equations under weak conditions. The main result is formulated in both classical mathematics…”
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  8. 8

    The operating diagram of a model of two competitors in a chemostat with an external inhibitor by Dellal, Mohamed, Lakrib, Mustapha, Sari, Tewfik

    Published in Mathematical biosciences (01-08-2018)
    “…•We study a model of competition in the chemostat with an inhibitor and general growth functions.•Inhibition of the most efficient species can lead to a stable…”
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  9. 9

    Substrate inhibition can produce coexistence and limit cycles in the chemostat model with allelopathy by Zitouni, Nour El Houda, Dellal, Mohamed, Lakrib, Mustapha

    Published in Journal of mathematical biology (01-07-2023)
    “…In this work, we consider a model of two microbial species in a chemostat in which one of the competitors can produce a toxin (allelopathic agent) against the…”
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  10. 10

    The method of averaging and functional differential equations with delay by Lakrib, Mustapha

    “…We present a natural extension of the method of averaging to fast oscillating functional differential equations with delay. Unlike the usual approach where the…”
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  11. 11

    Existence and uniqueness results for fractional boundary value problems with multiple orders of fractional derivatives and integrals by Kherraz, Tahar, Benbachir, Maamar, Lakrib, Mustapha, Samei, Mohammad Esmael, Kaabar, Mohammed K.A., Bhanotar, Shailesh A.

    Published in Chaos, solitons and fractals (01-01-2023)
    “…In this article, we study boundary value problems for fractional differential equations with multiple orders of fractional derivatives and integrals, in both…”
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  12. 12

    A MODEL OF TWO COMPETITORS IN A CHEMOSTAT WITH AN EXTERNAL INHIBITOR by Dellal, Mohamed, Lakrib, Mustapha, Sari, Tewfik

    Published in Mathematical biosciences (01-08-2018)
    “…A model of two microbial species in a chemostat competing for a single resource in the presence of an external inhibitor is considered. This model was…”
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  13. 13

    An existence result for impulsive neutral functional differential equations with multiple delay by Lakrib, Mustapha

    “…In this paper an existence result for initial value problems for first order impulsive neutral functional differential equations with multiple delay is proved…”
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    Journal Article
  14. 14

    Averaging for fuzzy differential equations by Mustapha Lakrib, Rahma Guen, Amel Bourada

    “…We prove and discuss averaging results for fuzzy differential equations. Our results generalize previous ones…”
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  15. 15
  16. 16

    Averaging Theorems for Ordinary Differential Equations and Retarded Functional Differential Equations by Lakrib, Mustapha, Sari, Tewfik

    Published 21-11-2006
    “…We prove averaging theorems for ordinary differential equations and retarded functional differential equations. Our assumptions are weaker than those required…”
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    Journal Article