数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (3): 815-830.doi: 10.1016/S0252-9602(16)30042-X

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

Tijani A. APALARA   

  1. Department of Mathematics, University of Hafr Al-Batin(UoHB), Hafr Al-Batin 31991, Saudi Arabia
  • 收稿日期:2015-03-10 修回日期:2015-05-19 出版日期:2016-06-25 发布日期:2016-06-25
  • 作者简介:Tijani A. APALARA,E-mail:tijani@uohb.edu.sa

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

Tijani A. APALARA   

  1. Department of Mathematics, University of Hafr Al-Batin(UoHB), Hafr Al-Batin 31991, Saudi Arabia
  • Received:2015-03-10 Revised:2015-05-19 Online:2016-06-25 Published:2016-06-25

摘要:

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.

关键词: Timoshenko system, well-posedness, uniform stability, distributed delay

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

中图分类号: 

  • 35B40