UNIFORM DECAY IN WEAKLY DISSIPATIVE TIMOSHENKO SYSTEM WITH INTERNAL DISTRIBUTED DELAY FEEDBACKS

doi:10.1016/S0252-9602(16)30042-X

Abstract

Abstract:

In this paper we consider one-dimensional Timoshenko system with linear frictional damping and a distributed delay acting on the displacement equation. Under suitable assumptions on the weight of the delay and the wave speeds, we establish the well-posedness of the system and show that the dissipation through the frictional damping is strong enough to uniformly stabilize the system even in the presence of delay.

Key words: Timoshenko system, well-posedness, uniform stability, distributed delay

CLC Number:

35B40

Tijani A. APALARA. UNIFORM DECAY IN WEAKLY DISSIPATIVE TIMOSHENKO SYSTEM WITH INTERNAL DISTRIBUTED DELAY FEEDBACKS[J].Acta mathematica scientia,Series B, 2016, 36(3): 815-830.

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