ARTICLE
STABILITY OF A TIMOSHENKO SYSTEM WITH CONSTANT DELAY
- International Journal of Applied Mathematics , 36 (2) : 253-279
Lien de l'article :
http://dx.doi.org/10.12732/ijam.v36i2.6
Discipline :
Mathématiques
Auteur(s) :
Innocent Ouedraogo, Gilbert Bayili
Auteur(s) tagués :
BAYILI Gilbert
OUEDRAOGO Innocent
Renseignée par : OUEDRAOGO Innocent
Résumé
Theaim of this work is to develop a detail analysis of a Timoshenko type beam model taking into account a delay. We prove the well-posedness and
regularity of solution, explained using the theory of the Faedo-Galerkin scheme. Namely, under a suitable choice of Lyapunov functional, exponential decay of
the whole energy holds.
Mots-clés
Timoshenko system; exponential stability; delay; Fadeo-Galerkin method