Stability for Shear beam model and new facts related to the classical Timoshenko system with variable delay
Innocent Ouedraogo, Gilbert Bayili
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. | |