Exponential Stability for Damped Shear Beam Model and New Facts Related to the Classical Timoshenko System With a Distributed Delay Term

Innocent Ouedraogo and Gilbert Bayili

Journal of Mathematics Research, 2024, vol. 15, issue 3, 45

Abstract: We consider in this manuscript a Timoshenko type beam model with a distributed delay term. If the distributed delay term is small enough, we prove the global existence of solutions by using the Faedo-Galerkin approximations together with some energy estimates. Under suitable assumptions, we prove exponential stability of the solution. This result is obtained by introducing a suitable Lyapounov function.

Date: 2024
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