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Asymptotic behavior of weakly dissipative Timoshenko system with internal constant delay feedbacks
Journal article   Peer reviewed

Asymptotic behavior of weakly dissipative Timoshenko system with internal constant delay feedbacks

Tijani A. Apalara
Applicable analysis, Vol.95(1), pp.187-202
02/01/2016

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we consider a one-dimensional Timoshenko system with a linear frictional damping and a constant delay acting on the displacement equation. Under appropriate assumptions on the weight of the delay and the wave speeds, we establish the well posedness and asymptotic stability results of the system. Our stability results show that the dissipation through the frictional damping is strong enough to uniformly stabilize the system even in the presence of delay.

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