Accepted for publication in JNEEA: Ms #2303101

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.

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