Asymptotic behavior of weakly dissipative Timoshenko system with internal constant delay feedbacks. Issue 1 (2nd January 2016)

• Record Type: Journal Article
• Authors: Apalara, Tijani A.
• Is Part Of: Applicable analysis. Volume 95:Issue 1(2016)
• Page Start: 187
• Page End: 202
• Publication Date: 2016-01-02
• Subjects: Timoshenko system -- delay -- well posedness -- asymptotic behavior -- equal and non-equal speed propagation; 35B40 -- 35L45 -- 74H40 -- 93D15 -- 93D20; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2014.1000314
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract : 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.