ARTICLE
Exponential Stability for Damped Shear Beam Model and New Facts Related to the Classical Timoshenko System With a Distributed Delay Term
- Journal of Mathematics Research , 15 (3) : 45-63
Lien de l'article :
https://doi.org/10.5539/jmr.v15n3p45
Discipline :
Mathématiques
Auteur(s) :
Innocent Ouedraogo, Gilbert Bayili
Auteur(s) tagués :
BAYILI Gilbert
OUEDRAOGO Innocent
Renseignée par : OUEDRAOGO Innocent
Résumé
We consider in this manuscript a Timoshenko type beam model with a distributed delay term. If the distributed delay term is small enough,we prove the global existence of solutions by using the Faedo-Galerkin approximations together with some energy estimates. Under suitable assumptions, we prove exponential stability of the solution. This result is obtained
by introducing a suitable Lyapounov function.
Mots-clés
Lyapunov,Timoshenkosystem,exponentialstability,Galerkin