BENYATTOU Benabderrahmane
بن يطو بن عبدالرحمان
benyattou.benabderrahmane@univ-msila.dz
0699365050
- Mathematics Department
- Faculty of Mathematics and Informatics
- Grade Prof
About Me
Doctorat d'Etat. in université Farhat Abbas -Sétif
Research Domains
Methods of Functional Analysis (Partial differential equations) Applied to Mechanics; Nonlinear Analysis Applied Mathematics
LocationMsila, Msila
Msila, ALGERIA
- 20-05-2002
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Doctorat d'Etat
On Alternative of Fredholm for problems family governed by Elasticity system in polygonal and polyhedral domains - 14-04-1997
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Magistère
Singular behaviour of the solution of the Elasticity system in polygonal and polyhedral domains - 1970-06-30 00:00:00
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BENYATTOU Benabderrahmane birthday
- 2021
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2021
New general stability for a variable coefficient thermo-viscoelastic-coupled system of second sound with acoustic boundary conditions
In this paper, we consider a variable coefficient thermo-viscoelastic-coupled system of second sound with acoustic boundary conditions, where the heat conduction is given by Cattaneo’s law. We establish a general decay of energy-associated solutions under a class of generality of the relaxation function. Our result extends the various decay results obtained for problems with or without thermo-viscoelasticity.
Citation
Abdelaziz LIMAM , Benyattou Benabderrahmane , Yamna Boukhatem, , (2021), New general stability for a variable coefficient thermo-viscoelastic-coupled system of second sound with acoustic boundary conditions, Computational and Applied Mathematics, Vol:40, Issue:3, pages:88, Springer Nature
- 2021
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2021
On a viscoelastic wave equation of infinite memory coupled with acoustic boundary conditions
This work deals with a coupled system of viscoelastic wave equation of infinite memory. The coupling is via by the acoustic boundary conditions. The semigroup theory is used to show the global existence of solution. Moreover, we investigate exponential stability of the system taking into account Gearhart-Pruss’ theorem.
Citation
Abdelaziz LIMAM , Benyattou Benabderrahmane , Yamna Boukhatem, ,(2021), On a viscoelastic wave equation of infinite memory coupled with acoustic boundary conditions,The First Online International Conference on Pure and Applied Mathematics IC-PAM’21,Kasdi Merbah University, Ouargla, Algeria
- 2021
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2021
General Decay Result for a Type III Thermoelastic Coupled System with Acoustic Boundary Conditions in the Presence of Distributed Delay
In the paper, the general decay of energy solutions for a type III thermoelastic coupled system with distributed delay is studied. The coupling is via the acoustic boundary conditions. Our result is obtained under a class of generality of the relaxation function g : R+ → R+ satisfying the inequality g'(t) ≤ −ξ(t)H(t) for all t ≥ 0, where ξ and H are functions satisfying some specific properties. This work extends previous works with thermoelasticity of type III and improves earlier results in the literature.
Citation
Abdelaziz LIMAM , Benyattou Benabderrahmane , Yamna Boukhatem, , (2021), General Decay Result for a Type III Thermoelastic Coupled System with Acoustic Boundary Conditions in the Presence of Distributed Delay, Journal of Mathematical Physics, Analysis, Geometry, Vol:17, Issue:2, pages:175-200, National Academy of Sciences of Ukraine, B.Verkin, Institute for Low Temperature Physics and Engineering.
- 2021
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2021
General decay for a coupled system of viscoelastic wave equation of infinite memory with acoustic boundary conditions
A coupled system of viscoelastic wave equation of infinite memory is considered. The coupling is via by the acoustic boundary conditions. Under very general assumption on the relaxation function, we establish a general decay result. This work substantially improves the earlier results in cases of acoustic boundary conditions.
Citation
Abdelaziz LIMAM , Benyattou Benabderrahmane , Yamna Boukhatem, ,(2021), General decay for a coupled system of viscoelastic wave equation of infinite memory with acoustic boundary conditions,International Conference on Recent Advances in Mathematics and Informatics (ICRAMI 2021),University of Laarbi Tebessi, Tebessa, Algeria
- 2021
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2021
Global solvability and decay estimates for a type III thermo-viscoelastic coupled system with infinite memory and boundary interaction feedback
A type III thermo-viscoelastic coupled system with infinite memory and distributed delay is considered. The interaction feedback between the nonlinear damping and the acoustic conditions are reacted on portion of the boundary. We obtain the well posedness and regularity of the system by using semigroup theory which is combined with Schauder’s fixed point theorem. Moreover, the general decay estimates are established under a much larger class of relaxation functions. Our results are obtained without the boundedness condition of initial data assumed in many earlier papers in the literature. This work generalizes the composite stability between infinite memory and nonlinear damping.
Citation
Abdelaziz LIMAM , Benyattou Benabderrahmane , Yamna Boukhatem, , (2021), Global solvability and decay estimates for a type III thermo-viscoelastic coupled system with infinite memory and boundary interaction feedback, Mathematische Nachrichten, Vol:294, Issue:9, pages:24, WILEY VCH
- 2021
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2021
Problèmes de contact avec frottement à coefficient variable: Etude mathématique pour des solides déformables
Considérons deux problèmes hyperboliques semi linéaire avec une source non linéaire de type polynomiale, le premier concerne un problème hyperbolique semi linéaire pour un opérateur fortement elliptique à coefficients variables et avec une dissipation forte et une dissipation non linéaire, tandis que le second est un problème aux limites acoustique pour les équations des ondes viscoélastiques à coefficients variables. Sous certaines conditions sur les données initiales en se basant sur des techniques récentes d’analyse mathématique, des résultats importants sur l’existence locale et globale, l’unicité, comportement asymptotique et l’explosion en temps fini des solutions sont obtenus.
Citation
BrahimNouiri , BenyattouBenabderrahmane , ,(2021); Problèmes de contact avec frottement à coefficient variable: Etude mathématique pour des solides déformables,,Editions Universitaires Européennes
- 2019
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2019
Dynamic total slip-ratedependent frictional contact problem for a nonlinear viscoelastic materials with long memory
In this paper, we consider a mathematical model which describes the dynamic frictional contact between a deformable body and rigid foundation. We assume that the behavior of the body is described by a nonlinear viscoelastic constitutive law with long memory. The friction condition is modeled with a simpli ed version of Coulomb's law in which the normal stress is prescribed and the coefficient of friction depends on the total slip-rate. We present the classical formulation of the problem, and derive a varia- tional formulation which consists a second order evolutionary quasi-variational inequality for the displacement led. Then, we establish the existence and uniqueness result of weak solution. The proof is based on the Faedo-Galerkin method and Banach's fixed point theorem. Finally, we show a convergence result when the relaxation coefficients of long memory tend to zero.
Citation
Brahim Nouiri , Benyattou Benabderrahmane , , (2019), Dynamic total slip-ratedependent frictional contact problem for a nonlinear viscoelastic materials with long memory, Analele Universitatii Oradea. Fasc. Matematica, Vol:26, Issue:1, pages:81-99, Universitatii Oradea
- 2019
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2019
Exponential Stability for a Linear Coupled System of Thermoelastic Type of Second Sound
In this work, we consider a linear coupled system of thermoelastic type with both second sound and acoustic boundary conditions, where the heat conduction is given by Cattaneo's law and the coupling is via the displacement equation. We show the well possedness of the system by using the semigroup theory. Moreover, we investigate with a stability exponential with a PDE technique of a $\mathcal{C}_0-$semigroup on a Hilbert space.
Citation
Abdelaziz LIMAM , Benyattou Benabderrahmane , Yamna Boukhatem, ,(2019), Exponential Stability for a Linear Coupled System of Thermoelastic Type of Second Sound,Third International Conference in Operator Theory, PDE and Applications (CITO2019),El Oued, Algeria
- 2019
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2019
Quasilinear parabolic equations with p(x)-Laplacian diffusion terms and nonlocal boundary conditions
In this study, we prove the existence of local solution for a quasi linear generalized parabolic equation with nonlocal boundary conditions for an elliptic operator involving the variable-exponent nonlinearities, using Faedo-Galerkin arguments and compactness method.
Citation
Benyattou Benabderrahmane , , (2019), Quasilinear parabolic equations with p(x)-Laplacian diffusion terms and nonlocal boundary conditions, Stud. Univ. Babe¸s-Bolyai Math, Vol:64, Issue:1, pages:103-118, Studia Universitatis Babeș-Bolyai Mathematica
- 2018
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2018
General decay for a viscoelastic equation of variable coefficients in the presence of past history with delay term in the boundary feedback and acoustic boundary conditions
https://www.springer.com/journal/10440
Citation
Benyattou Benabderrahmane , , (2018), General decay for a viscoelastic equation of variable coefficients in the presence of past history with delay term in the boundary feedback and acoustic boundary conditions, Acta Applicandae Mathematicae, Vol:154, Issue:, pages:131, Springer
- 2018
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2018
Comportement asymptotique pour un problème d'histoire viscoélastique dans le passé avec des conditions limites acoustiques
In this paper, we consider a viscoelastic equation of variable coefficients in the presence of infinite memory (past history) with nonlinear damping term and nonlinear delay term in the boundary feedback and acoustic boundary conditions. Under suitable assumptions, two arbitrary decay results of the energy solution are established via suitable Lyapunov functionals and some properties of the convex functions. The first stability result is given with a relation between the damping term and relaxation function and the second result is given without imposing any restrictive growth assumption on the damping term and the kernel function g. Our result extends the decay result obtained for problems with finite history to those with infinite history.
Citation
Benyattou Benabderrahmane , , (2018), Comportement asymptotique pour un problème d'histoire viscoélastique dans le passé avec des conditions limites acoustiques, Applicable Analysis, Vol:99, Issue:2, pages:249-269, Taylor and Francis
- 2018
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2018
General decay for a viscoelastic equation of variable coefficients in the presence of past history with delay term in the boundary feedback and acoustic boundary conditions
In this paper, we consider a viscoelastic equation of variable coefficients in the presence of infinite memory (past history) with nonlinear damping term and nonlinear delay term in the boundary feedback and acoustic boundary conditions. Under suitable assumptions, two arbitrary decay results of the energy solution are established via suitable Lyapunov functionals and some properties of the convex functions. The first stability result is given with relation between the damping term and relaxation function. The second result is given without imposing any restrictive growth assumption on the damping term and the kernel function g. Our result extends the decay result obtained for problems with finite history to those with infinite history.
Citation
Benyattou Benabderrahmane , Noukhatem Yamna, , (2018), General decay for a viscoelastic equation of variable coefficients in the presence of past history with delay term in the boundary feedback and acoustic boundary conditions, Acta Applicandae Mathematicae, Vol:154, Issue:1, pages:131, Springer
- 2018
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2018
Comportement asymptotique pour un problème d'histoire viscoélastique dans le passé avec des conditions limites acoustiques
In this paper, we consider a viscoelastic equation of variable coefficients in the presence of infinite memory (past history) with nonlinear damping term and nonlinear delay term in the boundary feedback and acoustic boundary conditions. Under suitable assumptions, two arbitrary decay results of the energy solution are established via suitable Lyapunov functionals and some properties of the convex functions. The first stability result is given with a relation between the damping term and relaxation function and the second result is given without imposing any restrictive growth assumption on the damping term and the kernel function g. Our result extends the decay result obtained for problems with finite history to those with infinite history.
Citation
Benyattou Benabderrahmane , , (2018), Comportement asymptotique pour un problème d'histoire viscoélastique dans le passé avec des conditions limites acoustiques, Applicable Analysis, Vol:22, Issue:1, pages:249-269, Taylor and Francis
- 2018
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2018
Deuxième Workshop sur les Equations aux Dérivées Partielles Non Linéaires et Applications WEDP18
https://www.univ-setif.dz/OCS/WEDP2018/WEDP18
Citation
Benyattou Benabderrahmane , ,(2018), Deuxième Workshop sur les Equations aux Dérivées Partielles Non Linéaires et Applications WEDP18,Deuxième Workshop sur les Equations aux Dérivées Partielles Non Linéaires et Applications WEDP18,Sétif
- 2018
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2018
Workshops on Pure and Applied Mathematics, WPAM 2018
Workshops on Pure and Applied Mathematics, WPAM 2018
Citation
Benyattou Benabderrahmane , ,(2018), Workshops on Pure and Applied Mathematics, WPAM 2018,Workshops on Pure and Applied Mathematics, WPAM 2018,M'Sila
- 2017
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2017
Analysis of a quasistatic total slipdependent frictional contact problem for viscoelastic materials with long-term memory
In this paper, we study a mathematical problem modeling the antiplane shear deformation between a deformable cylinder body and a rigid foundation. We assume that the behavior of the cylinder is described by a viscoelastic constitutive law with long-term memory. The contact is bilateral and the friction is modeled with Trasca's friction law in which the friction bound depending on the total slip. We present the classical formulation of the antiplane problem and we derive the corresponding variational formulation as a history slip-dependent evolutionary quasi-variational inequality with a Volterra integral term . Based on arguments of evolutionary variational inequalities with viscosity and Banach's fixed point theorem, an existence and uniqueness result of the weak solution is proved. Furthermore, the behavior of the solution with respect to perturbations of relaxation coefficients of long-term memory is considered and a convergence result is also given.
Citation
Brahim Nouiri , Benyattou Benabderrahmane , , (2017), Analysis of a quasistatic total slipdependent frictional contact problem for viscoelastic materials with long-term memory, Analele Universitatii Oradea. Fasc. Matematica, Vol:24, Issue:1, pages:43-56, Universitatii Oradea
- 2017
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2017
On the asymptotic behavior of solutions for p-Laplacian type wave equations.
https://ntmsci.com/Conferences/ICAAMM2017
Citation
Benyattou Benabderrahmane , ,(2017), On the asymptotic behavior of solutions for p-Laplacian type wave equations.,International Congress on Applied Analysis and Mathematical Modling, ICAAMM2017,Istanbul-Turkey.
- 2015
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2015
A nonlinear hyperbolic problem for viscoelastic equations
this paper, we consider a nonlinear boundary value problem for viscoelastic équations with a source term. By basing on Faedo-Galerkin approximations and compactness argument, this work is devoted to prove thé existence, uniqueness, and aiso continuous dependence with respect to thé initial data of solutions.
Citation
Benyattou Benabderrahmane , Brahim Nouiri , Rahmoune Abita, , (2015), A nonlinear hyperbolic problem for viscoelastic equations, Palestine Journal of Mathematics, Vol:4, Issue:1, pages:1-11, Palestine Polytechnic University,
- 2012
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2012
Multiplicative Schwarz method for nonlinear quasi-variational inequalities and their application in contact mechanics
In this paper, we present and analyze subspace correction method for the solution of nonlinear quasi-variational inequalities and apply this theoretical result to non smooth contact problems in nonlinear elasticity with slip-rate dependent friction. We introduce this method in a Hilbert space, prove that it is globally convergent and give error estimates. In the context of nite element discretization, where my method turns out to be one-and two-level Schwarz methods, we specify their convergence rate and its dependence on the discretization parameters and conclude that our methods converge optimally. Transferring this results to frictional contact problems, we thus can overcome the mesh dependence of some xed-point schemas which are commonly employed for contact problems with slip-rate dependent coecient of Tresca and Coulomb friction.
Citation
Brahim Nouiri , Benyattou Benabderrahmane , ,(2012), Multiplicative Schwarz method for nonlinear quasi-variational inequalities and their application in contact mechanics,21th International Conference on Domain Decomposition Methods, DD21,Rennes, France
- 2011
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2011
Study of an Ill-Posed Boundary Value Problem in Contact Mechanics
B. Nouiri, B. Benabderrahmane, Study of an Ill-Posed Boundary Value Problem in Contact Mechanics. The Third Conference on Mathematical Sciences, CMS'2011, Zarkaa private University April 27-29, 2011, Jordan.
Citation
Brahim Nouiri , Benyattou Benabderrahmane , ,(2011), Study of an Ill-Posed Boundary Value Problem in Contact Mechanics,The Third Conference on Mathematical Sciences, CMS'2011,Zarkaa private University, Jordan.
- 2011
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2011
Singularity of the boundary value problem for the elliptic equations
B. Benabderrahmane, B. Nouiri, Singularity of the boundary value problem for the elliptic equations. The Third Conference on Mathematical Sciences, CMS'2011, Zarkaa private University April 27-29, 2011, Jordan.
Citation
Benyattou Benabderrahmane , Brahim Nouiri , ,(2011), Singularity of the boundary value problem for the elliptic equations,The Third Conference on Mathematical Sciences, CMS'2011,Zarkaa private University, Jordan.
- 2010
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2010
Theoretical study for the quasi-static problem with dry friction for linear elastic materials and solid body
B. Nouiri, B. Benabderrahmane, Theoretical study for the quasi-static problem with dry friction for linear elastic materials and solid body, Fourth Saudi Science Conference, March 21 - 24, 2010, Al-Madinah Al-Munawwarah, KSA.
Citation
Brahim Nouiri , Benyattou Benabderrahmane , ,(2010), Theoretical study for the quasi-static problem with dry friction for linear elastic materials and solid body,Fourth Saudi Science Conference,Al-Madinah Al-Munawwarah, KSA
- 2010
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2010
Faedo-Galerkin method for a non linear boundary value problem associated to the elasticity equations
B. Benabderrahmane, B. Nouiri, A. Rahmoune, Faedo-Galerkin method for a non linear boundary value problem associated to the elasticity equations, Fourth Saudi Science Conference, March 21 - 24, 2010, Al-Madinah Al-Munawwarah, KSA.
Citation
Benyattou Benabderrahmane , Brahim Nouiri , ,(2010), Faedo-Galerkin method for a non linear boundary value problem associated to the elasticity equations,Fourth Saudi Science Conference,Al-Madinah Al-Munawwarah, KSA
- 2009
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2009
A Quasistatic contact problem with slip dependent friction for linear elastic materials
B. Nouiri and B. Benabderrahmane, A Quasistatic contact problem with slip dependent friction for linear elastic materials, International Conference of Mathematical Sciences, 04-10 August 2009, Istanbul, Turkey.
Citation
Brahim Nouiri , Benyattou Benabderrahmane , ,(2009), A Quasistatic contact problem with slip dependent friction for linear elastic materials,International Conference of Mathematical Sciences,Istanbul, Turkey
- 2009
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2009
Newmark method applied to the Elasto-dynamic problem with slip-rate dependent friction
B. Nouiri and B. Benabderrahmane, Newmark method applied to the Elasto-dynamic problem with slip-rate dependent friction, Journal of Concrete And Applicable Mathematics, (JCAAM), Vol.7, no.1, (2009) 70-81.
Citation
Brahim Nouiri , Benyattou Benabderrahmane , , (2009), Newmark method applied to the Elasto-dynamic problem with slip-rate dependent friction, Journal of Concrete And Applicable Mathematics, (JCAAM), Vol:7, Issue:1, pages:70-81, University of Memphis
- 2009
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2009
Relative Fredholm alternative to boundary value problem for the elliptic equations
B.Benabderrahmane and B. Nouiri, Relative Fredholm alternative to boundary value problem for the elliptic equations, Journal of Concrete And Applicable Mathematics, (JCAAM), Vol.7, no.1, (2009) 82-94.
Citation
Benyattou Benabderrahmane , Brahim Nouiri , , (2009), Relative Fredholm alternative to boundary value problem for the elliptic equations, Journal of Concrete And Applicable Mathematics, (JCAAM), Vol:7, Issue:1, pages:82-94, University of Memphis
- 2008
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2008
Singularity of the boundary value problem for the elliptic equations
B. Benabderrahmane and B. Nouiri, Singularity of the boundary value problem for the elliptic equations, The Second Conference on Mathematical Sciences, CMS'2008, Zarkaa private University October 22-23, 2008, Jordan.
Citation
Benyattou Benabderrahmane , Brahim Nouiri , ,(2008), Singularity of the boundary value problem for the elliptic equations,The Second Conference on Mathematical Sciences, CMS'2008,Zarkaa private University, Jordan.
- 2008
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2008
Elasto-dynamic problem with friction depending on the speed of the slip
Nouiri, B., B. Benabderrahmane, B., Elasto-dynamic problem with friction depending on the speed of the slip, Anal. Univ. Oradea, fasc. Math., Tom XV (2008), 11-22.
Citation
Brahim Nouiri , Benyattou Benabderrahmane , , (2008), Elasto-dynamic problem with friction depending on the speed of the slip, Anal. Univ. Oradea, fasc. Math., Vol:17, Issue:1, pages:11-22, Univ. Oradea
- 2008
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2008
Index of the elasticity operator with contact without friction boundary
B. Benabderrahmane, B. Nouiri and Y. Boukhatem, Index of the elasticity operator with contact without friction boundary, Studia Univ. Babes-Bolyai, Mathematica, Vol. LIII, No.3, (2008) 3-11.
Citation
Benyattou Benabderrahmane , Brahim Nouiri , , (2008), Index of the elasticity operator with contact without friction boundary, Studia Univ. Babes-Bolyai, Mathematica, Vol:3, Issue:3, pages:3-11, Univ. Babes-Bolyai
- 2008
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2008
Singularity of a boundary value problem of the elasticity equations in a polyhedron
B. Benabderrahmane and B. Nouiri, Singularity of a boundary value problem of the elasticity equations in a polyhedron, Creat. Math. Inform., 17 (2008), No.2, 47-55.
Citation
Benyattou Benabderrahmane , Brahim Nouiri , , (2008), Singularity of a boundary value problem of the elasticity equations in a polyhedron, Creat. Math. Inform, Vol:17, Issue:2, pages:47-55, North University Center at Baia Mare
- 2008
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2008
Resolvent of the Lamé system in a polygone
B. Benabderrahmane, B., Nouiri, B., Resolvent of the Lamé system in a polygone, Anal. Univ. Oradea, fasc. Matematica, Tom XV (2008) 219-238.
Citation
Benyattou Benabderrahmane , Brahim Nouiri , , (2008), Resolvent of the Lamé system in a polygone, Anal. Univ. Oradea, fasc. Matematica, Vol:15, Issue:1, pages:219-238, Univ. Oradea
- 2007
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2007
Problem of contact without friction between two Elastic bodies
B. Benabderrahmane and B. Nouiri, Problem of contact without friction between two Elastic bodies, The Second International Conference on Mathematics : Trends and Developments, 27th to 30th December 2007 (ICMTD 2007), Cairo, Egypt.
Citation
Benyattou Benabderrahmane , Brahim Nouiri , ,(2007), Problem of contact without friction between two Elastic bodies,The Second International Conference on Mathematics : Trends and Developments,Cairo, Egypt
- 2007
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2007
Elasto-dynamic problem with friction depending on the speed of the slip
B. Nouiri et B. Benabderrahmane, Elasto-dynamic problem with friction depending on the speed of the slip, International symposium of non linear analysis, 19-21 Nov. 2007, ANL'07, Sétif, Algeria.
Citation
Brahim Nouiri , Benyattou Benabderrahmane , ,(2007), Elasto-dynamic problem with friction depending on the speed of the slip,International symposium of non linear analysis,Sétif, Algeria
- 2007
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2007
Variational study of non linear problem of contact without friction between two Elastic bodies
B. Benabderrahmane and B. Nouiri, Variational study of non linear problem of contact without friction between two Elastic bodies, International ISAAC Congress, 13 - 18 August 2007. Ankara, Turkey.
Citation
Benyattou Benabderrahmane , Brahim Nouiri , ,(2007), Variational study of non linear problem of contact without friction between two Elastic bodies,International ISAAC Congress,Ankara, Turkey
- 2006
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2006
Regularity Solutions for contact problem without friction of Elasticity's equations,
B.Benabderrahmane and B. Nouiri, Regularity Solutions for contact problem without friction of Elasticity's equations, Far East Journal of Applied Mathematics, Vol. 24, (2006), No. 3, 373-380.
Citation
Benyattou Benabderrahmane , Brahim Nouiri , , (2006), Regularity Solutions for contact problem without friction of Elasticity's equations,, Far East Journal of Applied Mathematics, Vol:24, Issue:3, pages:373-380, University of Allahabad
- 2005
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2005
Problème de contact sans frottement entre deux corps déformables
B. Benabderrahmane et B. Nouiri, Problème de contact sans frottement entre deux corps déformables, 5me Rencontre Internationale sur l'analyse mathématiques et ses applications,RAMA5, 10, 11 et 12 Avril 2006, M'sila, Algérie.
Citation
Benyattou Benabderrahmane , Brahim Nouiri , ,(2005), Problème de contact sans frottement entre deux corps déformables,5me Rencontre Internationale sur l'analyse mathématiques et ses applications,RAMA5,M'sila, Algérie
- 2005
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2005
Problème élasto-dynamique de frottement sec
B. Nouiri et B. Benabderrahmane. Problème élasto-dynamique de frottement sec. 5me Rencontre Internationale sur l'analyse mathématiques et ses applications, RAMA5, 10, 11 et 12 Avril 2006, M'sila, Algérie.
Citation
Brahim Nouiri , Benyattou Benabderrahmane , ,(2005), Problème élasto-dynamique de frottement sec,5me Rencontre Internationale sur l'analyse mathématiques et ses applications, RAMA5,M'sila, Algérie