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

被引：31
|
作者：
Apalara, Tijani A. [1 ]
机构：
[1] Univ Hafr Al Batin UoHB, Dept Math, Hafar al Batin 31991, Saudi Arabia
来源：
ACTA MATHEMATICA SCIENTIA | 2016年 / 36卷 / 03期
关键词：
Timoshenko system; well-posedness; uniform stability; distributed delay; GLOBAL EXISTENCE; STABILITY RESULT; WAVE-EQUATION; BOUNDARY; STABILIZATION; MEMORY; THERMOELASTICITY; INSTABILITY; PROPERTY; TERM;
D O I：
10.1016/S0252-9602(16)30042-X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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.
引用
收藏
页码：815 / 830
页数：16
相关论文
共 50 条
  • [1] UNIFORM DECAY IN WEAKLY DISSIPATIVE TIMOSHENKO SYSTEM WITH INTERNAL DISTRIBUTED DELAY FEEDBACKS
    Tijani A.APALARA
    Acta Mathematica Scientia, 2016, (03) : 815 - 830
  • [2] Asymptotic behavior of weakly dissipative Timoshenko system with internal constant delay feedbacks
    Apalara, Tijani A.
    APPLICABLE ANALYSIS, 2016, 95 (01) : 187 - 202
  • [3] Stability result for the Timoshenko system with a time-varying delay term in the internal feedbacks
    Kirane, Mokhtar
    Said-Houari, Belkacem
    Anwar, Mohamed Naim
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2011, 10 (02) : 667 - 686
  • [4] EXPONENTIAL DECAY AND NUMERICAL SOLUTION FOR A TIMOSHENKO SYSTEM WITH DELAY TERM IN THE INTERNAL FEEDBACK
    Rapos, C. A.
    Chuquipoma, J. A. D.
    Avila, J. A. J.
    Santos, M. L.
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2013, 3 (01): : 1 - 13
  • [5] Uniform decay for wave equations with weakly dissipative boundary feedback
    Mustafa, Muhammad I.
    DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2015, 30 (02): : 241 - 250
  • [6] Existence and decay for the logarithmic Lam? system with internal distributed delay
    Piskin, Erhan
    Sancar, Erkan
    ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL, 2023, 16 (01): : 63 - 78
  • [7] ENERGY DECAY OF SOLUTIONS FOR THE WAVE EQUATION WITH A TIME-VARYING DELAY TERM IN THE WEAKLY NONLINEAR INTERNAL FEEDBACKS
    Mohamed, Ferhat
    Ali, Hakem
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2017, 22 (02): : 491 - 506
  • [8] ON MODELING AND UNIFORM STABILITY OF A PARTIALLY DISSIPATIVE VISCOELASTIC TIMOSHENKO SYSTEM
    Alves, Michele O.
    Gomes Tavares, Eduardo H.
    Jorge Silva, Marcio A.
    Rodrigues, Jose H.
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2019, 51 (06) : 4520 - 4543
  • [9] General Decay for a Timoshenko-type System for Thermoelasticity of Type III with Delay, Past History and Distributed Delay
    Hamida, Salim
    Zitouni, Salah
    Ouchenane, Djamel
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2023, 41
  • [10] EXPONENTIAL STABILITY OF TIMOSHENKO BEAM SYSTEM WITH DELAY TERMS IN BOUNDARY FEEDBACKS
    Han, Zhong-Jie
    Xu, Gen-Qi
    ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2011, 17 (02) : 552 - 574
12345