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 46 条
  • [1] ABDALLAH C, 1993, PROCEEDINGS OF THE 1993 AMERICAN CONTROL CONFERENCE, VOLS 1-3, P3106
  • [2] Stability to weakly dissipative Timoshenko systems
    Almeida Junior, D. S.
    Santos, M. L.
    Munoz Rivera, J. E.
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2013, 36 (14) : 1965 - 1976
  • [3] [Anonymous], 2010, FUNCTIONAL ANAL
  • [4] Apalara T A, 2014, APPL MATH OPT, P1
  • [5] Apalara T. A, 2014, ELECTRON J DIFFER EQ, P1
  • [6] Apalara T. A., 2012, ELECT J DIFF EQUA, V2012, P1
  • [7] Asymptotic behavior of weakly dissipative Timoshenko system with internal constant delay feedbacks
    Apalara, Tijani A.
    [J]. APPLICABLE ANALYSIS, 2016, 95 (01) : 187 - 202
  • [8] FEEDBACK AND DELAYS IN NEUROLOGICAL DISEASES - A MODELING STUDY USING DYNAMIC-SYSTEMS
    BEUTER, A
    BELAIR, J
    LABRIE, C
    BELAIR, J
    [J]. BULLETIN OF MATHEMATICAL BIOLOGY, 1993, 55 (03) : 525 - 541
  • [9] AN EXAMPLE ON THE EFFECT OF TIME DELAYS IN BOUNDARY FEEDBACK STABILIZATION OF WAVE-EQUATIONS
    DATKO, R
    LAGNESE, J
    POLIS, MP
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1986, 24 (01) : 152 - 156
  • [10] Guesmia A., 2012, Electron. J. Differ. Equ, V2012, P1
12345