02.The 3rd International Conference in Operator Theory, PDE and Applications
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Item 2-Orthogonal Polynomials and Darboux Transforms(University of Eloued جامعة الوادي, 2019-04-23) Faghmous, Chadia; Bouras, Mohamed Cherif; Ali Khelil, KarimaIn this work we present a new interpretation of Darboux transforms in the context of 2-orthogonal polynomials and nd condi- tions in order for any Darboux transform to yield a new set of 2- orthog- onal polynomials. We also introduce the LU and UL factorizations of the monic Jacobi matrix associated with a quasi-de nite linear functional de ned on the linear space of polynomials with real coe¢ cients.Item The method (HPM) for solving some problems of heat-like equations with non local boundary conditions(University of Eloued جامعة الوادي, 2019-04-23) Benaddi, Hadda; Cheniguel, AhmedIn this work initial boundary value problems are presented. The homotopy perturbation method (HPM) is used for solving some problems of heat-like equations with non local boundary conditions. The obtained results are highly accurate. This method provides continuous solutions in contrast to other numerical methods, like finite difference, finite elements, spectral methods, ect. It is found that this method it is a powerful tool and can be applied to a large class of linear and non linear problems in different fields of science and engineering.Item Stabilized finite element method for non-homogeneous Timoshenko beam(University of Eloued جامعة الوادي, 2019-04-23) Merabet, I.This work deals with the finite element approximation of the Timoshenko system. We prove the existence and the uniqueness of the continuous and the discrete problems. We propose a stabilized finite element method for the corresponding mixed formulation. Numerical tests are includedItem ASYMPTOTIC STABILITY OF A PROBLEM WITH KELVIN-VOIGT TERM AND BALAKRISHNAN-TAYLOR DAMPING.(University of Eloued جامعة الوادي, 2019-04-23) TOUALBIA, SARRAThe purpose of this work is to study the energy Decay of solutions for a nonlinear equation of the kelving voigt type with balakrishnan taylor damping and acoustic boundary in a bounded domain in Rn.Item Galerkin method for the higher dimension Boussinesq equation non linear with integral condition(University of Eloued جامعة الوادي, 2019-04-23) Draifia, Ala EddineAbstract-This paper deals with the solvability of a higher dimension mixed non local problem for a Boussinesq equation non linear. Galerkin s method was the main used tool for proving the solvability of the given non local problem.Item Polynômes polaires associés aux polynômes orthogonaux sur le cercle unité(University of Eloued جامعة الوادي, 2019-04-23) Rehouma, AbdelhamidItem BRESSE-TIMOSHENKO SYSTEM : WELL-POSSEDNESS AND STABILITY RESULTS(University of Eloued جامعة الوادي, 2019-04-23) YAZID, F.; OUCHENANE, D.In this paper, we consider a Bresse-Timoshenko type system with distributed delay term. Under suitable assumptions, we establish the global well-posedness of the initial and boundary value problem by using the Faedo- Galerkin approximations and some energy estimates. By using the energy method, we show the exponential stability results for the system with delay in vertical displacement.Item INÉGALITÉS SUR LE RAYON NUMÉRIQUE D UN OPÉRATEUR BORNÉ(University of Eloued جامعة الوادي, 2019-04-23) HAMRI, DOUAASoit H un espace de Hilbert complexe et A un opérateur linéaire borné sur H. Le rayon numérique de A est le réel positif dé ni par w (A) = sup fjhAx; xij ; x 2 H; kxk = 1g : Dans ce travail on a étudié les inégalités du rayon numérique d un opérateur borné sur un espace de Hilbert. On a donné au début une étude initiative sur l image et le rayon numériques. Cette étude concerne les propriétés de base de ces concepts dont la plus impor- tante pour ce travail est que le rayon numérique dé nisse une norme équivalente à la norme usuelle. Dans une partie de ce travail, on a présenté des di¤érents types d inégalités pour un opérateur: des inégalités générales, des inégalités de puissance et des inégalités en sens inverse. Au dernière partie, on a étudié des inégalités pour deux opérateurs, parmi ces inégalités, des inégalités de base pour le produit et des inégalités pour un opérateur inversible.Item The global existence of small data solutions of certain viscoelastic evolution problems(University of Eloued جامعة الوادي, 2019-04-23) MELIK, AmmarWe establish some new results concerning the initial value problem rst order on the whole space Rn (n 1), the decay structure of which is of regularity-loss property. By using Fourier transform and Laplace transform, we obtain the fundamental solutions and thus the solution to the corresponding linear problem. Appealing to the point-wise estimate in the Fourier space of solutions to the linear problem, we get estimates and properties of solution operator, by exploiting which decay estimates of solutions to the linear problem are obtained. Also by introducing a set of time-weighted Sobolev spaces and using the contraction mapping theorem, we obtain the global in-time existence and the optimal decay estimates of solutions to the semi-linear problem under smallness assumption on the initial data.Item Exponential decay for a nonlinear axially moving viscoelastic string(University of Eloued جامعة الوادي, 2019-04-23) Tikialine, Belgacem; TEDJANI, HADJ AMMAR; Kelleche, AbdelkarimThe stabilization of a nonlinear axially moving viscoelastic string is the topic of this paper. Next, we are showing Under reasonable conditions on the initial results, by using the prospective well process, certain solutions exist globally. We then demonstrate that the damping provided by the viscoelastic term is sufficient to ensure an exponential decayItem L' EXISTENCE ET L' UNICITÉ DE PROBLÈME D ÉVOLUTION NON CLASSIQUE(University of Eloued جامعة الوادي, 2019-04-23) ATMANIA, ISLAH; ZITOUNI, SALAHAbstract. Le but de ce travail est d étudiée quelques problème mixtes non locaux par la méthode des inégalités énergétiques(estimation à priori). ce problème est l équation hyperbolique de deuxième degré en combinant une condition classique et une autre intégrale dé nies comme suivantItem Approximate method for oxygen diffusion and absorption in sick cell(University of Eloued جامعة الوادي, 2019-04-23) Djellab, Nadjate; Boureghda, A.we consider the oxygen di usion problem where the injection of oxygen into a sick cell and di usion of the injected oxygen inside the cell. The problem mathematically formulated through two di erent steps. At the rst stage, the stable case having no oxygen transition in the isolated cell is searched while at the second stage the moving boundary of oxygen absorbed by the tissues in the cell is searched. In this study, trace of moving boundary of the oxygen di usion problem is determined using constrained integral method, the pro le of moving boundary is determined by third order polynomial.