Search Results - "Lakrib, Mustapha"
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Averaging method for ordinary differential inclusions with maxima
Published in Electronic journal of differential equations (14-05-2018)“…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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2
Solvability and stability analysis of a coupled system involving generalized fractional derivatives
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
Averaging for ordinary differential equations perturbed by a small parameter
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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4
Existence of solutions for impulsive neutral functional differential equations with multiple delays
Published in Electronic journal of differential equations (12-03-2008)“…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
Time averaging for ordinary differential equations and retarded functional differential equations
Published in Electronic journal of differential equations (2010)“…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
TIME AVERAGING FOR FUNCTIONAL DIFFERENTIAL EQUATIONS
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
On the averaging method for differential equations with delay
Published in Electronic journal of differential equations (01-07-2002)“…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
The operating diagram of a model of two competitors in a chemostat with an external inhibitor
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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Substrate inhibition can produce coexistence and limit cycles in the chemostat model with allelopathy
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
The method of averaging and functional differential equations with delay
Published in International journal of mathematics and mathematical sciences (01-01-2001)“…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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Existence and uniqueness results for fractional boundary value problems with multiple orders of fractional derivatives and integrals
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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A MODEL OF TWO COMPETITORS IN A CHEMOSTAT WITH AN EXTERNAL INHIBITOR
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
An existence result for impulsive neutral functional differential equations with multiple delay
Published in Electronic journal of differential equations (12-03-2008)“…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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14
Averaging for fuzzy differential equations
Published in Surveys in mathematics and its applications (01-09-2014)“…We prove and discuss averaging results for fuzzy differential equations. Our results generalize previous ones…”
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15
Some averaging results for ordinary differential inclusions
Published in Discussiones mathematicae. Differential inclusions, control and optimization (2015)Get full text
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Averaging Theorems for Ordinary Differential Equations and Retarded Functional Differential Equations
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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