Exponential decay for a Timoshenko problem with delay terms.

In this paper, we aim to analyze the asymptotic behavior of a Timoshenko beam system with two boundary controls, incorporating delay terms in both the first and second equations. Assuming the delay weights are sufficiently small, we establish the well-posedness of the system using semigroup theory. Additionally, we construct a Lyapunov functional to demonstrate the exponential decay of the total energy.

Etude de la stabilité d’un dynamique Timoshenko de type mémoire, 2022/07/04, université Skikda.

existence