Decay of a Transmission Problem with Memory and Time-Varying Delay

被引：0
作者：
Benseghir, Aissa [1 ,2 ]
机构：
[1] Univ Ferhat Abbas Setif1 Algeria, Setif, Algeria
[2] Univ Via Domitia Perpignan, Perpignan, France
来源：
JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2016年 / 29卷 / 03期
关键词：
Wave equation; transmission problem; varying delay term; memory; exponential stability;
D O I：
10.4208/jpde.v29.n3.1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article we consider a transmission problem with memory in a bounded domain and varying delay term in the first equation. Under suitable assumptions on the weight of the damping and the weight of the delay, we show the exponential stability of the solution by introducing a suitable Lyaponov functional.
引用
收藏
页码：161 / 174
页数：14
相关论文
共 24 条
  • [1] Feedback boundary stabilization of wave equations with interior delay
    Ammari, Kais
    Nicaise, Serge
    Pignotti, Cristina
    [J]. SYSTEMS & CONTROL LETTERS, 2010, 59 (10) : 623 - 628
  • [2] Bastos W. D., 2007, ELECT J DIFFERENTIAL, P10
  • [3] Bastos WD, 2007, ELECTRON J DIFFER EQ
  • [4] BENSEGHIR A, 2014, ELECT J DIFFERENTIAL, V212, P1
  • [5] Berrimi S., 2006, ANAL, V64, P2313
  • [6] Berrimi S, 2004, ELECTRON J DIFFER EQ
  • [7] Stability to weak dissipative Bresse system
    Boussouira, Fatiha Alabau
    Munoz Rivera, Jaime E.
    Almeida Junior, Dilberto da S.
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 374 (02) : 481 - 498
  • [8] Cavalcanti M. M., 2001, DIFFER INTEGRAL EQU, V14, P85
  • [9] Cavalcanti MM, 2002, ELECTRON J DIFFER EQ
  • [10] 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
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