Mathématiqueshttp://depot.umc.edu.dz/handle/123456789/86902026-05-03T07:02:00Z2026-05-03T07:02:00ZGénéralisation de certaines inégalités intégrales non linéaires avec retard et applications.Kriket, SalahBoudeliou, Ammarhttp://depot.umc.edu.dz/handle/123456789/148232026-01-21T09:31:04Z2023-11-16T00:00:00ZGénéralisation de certaines inégalités intégrales non linéaires avec retard et applications.
Kriket, Salah; Boudeliou, Ammar
Gronwall-Bellman inequalities and their various generalizations that give explicit bounds on unknown functions provide a very useful and important device in the study of many qualitative properties of solutions of differential equations, integral equations and integrodifferential equations. The purpose of this work is to give an exposition of some classical
and modern results about integral inequalities, and establish some new nonlinear integral inequalities with delay in two independent variables, which generalize some known inequalities recently obtained. These results can be used as handy tools to study the boundedness of solutions of Volterra integral equations. Applications are given to illustrate how our results can be applied to study the boundedness of the solutions of certain Volterra equations. The research on this topic is also large and continues until now, the impressive number of publications on this subject testifies to this.
2023-11-16T00:00:00ZControl and synchronization in fractional-order systems.Talbi, IbtissemOuannas, AdelBerkane, Abdelhakhttp://depot.umc.edu.dz/handle/123456789/148112026-01-19T11:23:22Z2023-07-17T00:00:00ZControl and synchronization in fractional-order systems.
Talbi, Ibtissem; Ouannas, Adel; Berkane, Abdelhak
In this graduation thesis, we have considered different classes of fractional order discrete time systems. The proposed systems are defined using Caputo h-difference operator, in addition, we have studied the existence of chaos and its control and synchronization. As a conclusive remark, we would point out that the main contributions and innovations of
this thesis can be summarized as follows, novel fractional-order discrete time systems based on the Caputo h-difference operator, chaos synchronization using linear control laws, and chaos stabilization based on very simple controllers.
2023-07-17T00:00:00ZEstimation non-paramétrique de la fonction de répartition BivariéeDib, KhaledMessaci, FatihaBouezmarni, Taoufikhttp://depot.umc.edu.dz/handle/123456789/148092026-01-19T10:44:25Z2023-06-22T00:00:00ZEstimation non-paramétrique de la fonction de répartition Bivariée
Dib, Khaled; Messaci, Fatiha; Bouezmarni, Taoufik
In several areas of statistical application, the estimation of the bivariate distribution function plays an essential role, We propose such estimator based on Bernstein’s approach in the presence of right censored data.The
results of the asymptotic behavior of our estimator have been established, Almost sure convergence, bias as well as asymptotic normality. We derived a nonparametric estimator of the copula from our estimator and showed the result of its convergence. Finally, we illustrated the robustness of our contribution through simulated and real data.
2023-06-22T00:00:00ZQuelques aspects d’inférence statistique fréquentielleDouas, RymaKharfouchi, SoumiaLaroussi, Ilhamhttp://depot.umc.edu.dz/handle/123456789/148032026-01-18T10:47:47Z2023-07-12T00:00:00ZQuelques aspects d’inférence statistique fréquentielle
Douas, Ryma; Kharfouchi, Soumia; Laroussi, Ilham
In this work, we are interested in the nonparametric method of the regression
function on the wavelets class. Our contribution lies in the fact that we have
extended this method in case the response variable is subject to mixed
censorship. We have shown that the introduced estimator almost certainly
converges towards the optimal value
2023-07-12T00:00:00Z