Stability for Shear beam model and new facts related to the classical Timoshenko system with variable delay
Innocent Ouedraogo, Gilbert Bayili
Laboratoire de Mathématiques et d’Informatique (LAMI), Ecole Doctorale Sciences et Technologies, Unversité Joseph Ki-Zerbo, 03 BP 7021 Ouagadougou Burkina Faso, Ouagadougou - UO, Burkina Faso
Received on March 10, 2023, revised on January 21, 2024
Accepted on January 22, 2024
Communicated by Gaston M. N'Guérékata
| Abstract. In this paper we study a Timoshenko type beam model with a variable delay. It is mainly about, on the one hand, a study of the existence and uniqueness of the solution and on the other hand, to present a study of exponential stability of the obtained solution. The introduction of the variable delay term is the added value brought by this work. | |
| Keywords: | Timoshenko system, Exponential stability, Galerkin method. |
| 2010 Mathematics Subject Classification: 35B35, 93D05. | |