Well-posedness and exponential stability for the logarithmic Lame system with a time delay

被引：6
|
作者：
Yuksekkaya, Hazal [1 ]
Piskin, Erhan [1 ]
Kafini, Mohammad M. [2 ,4 ]
Al-Mahdi, Adel M. [3 ,4 ]
机构：
[1] Dicle Univ, Dept Math, Diyarbakir, Turkiye
[2] King Fahd Univ Petr & Minerals, Dept Math, Dhahran, Saudi Arabia
[3] King Fahd Univ Petr & Minerals, Preparatory Year Program, Dhahran, Saudi Arabia
[4] King Fahd Univ Petr & Minerals, Interdisciplinary Res Ctr Construction & Bldg Mat, Dhahran, Saudi Arabia
来源：
APPLICABLE ANALYSIS | 2024年 / 103卷 / 02期
关键词：
M; Mei; Logarithmic Lame system; global existence; exponential stability; delay term; WAVE-EQUATION; GLOBAL EXISTENCE; TERM; NONEXISTENCE; INSTABILITY; BOUNDARY;
D O I：
10.1080/00036811.2023.2196993
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the initial-boundary value problem for a logarithmic Lame system with a time delay in a bounded domain. We prove the well-posedness of the system by utilizing the semigroup theory. Then, we prove the existence of global solutions by using the well-depth method. In addition, we establish an exponential stability decay result under appropriate assumptions on the weight of the time delay and that of frictional damping.
引用
收藏
页码：506 / 518
页数：13
相关论文
共 50 条
  • [1] Well-Posedness and Exponential Stability for Coupled Lame System with a Viscoelastic Damping
    Taouaf, Noureddine
    Amroun, Noureddine
    Benaissa, Abbes
    Beniani, Abderrahmane
    FILOMAT, 2018, 32 (10) : 3591 - 3598
  • [2] Well-posedness and exponential stability of a thermoelastic system with internal delay
    Khatir, Smain Moulay
    Shel, Farhat
    APPLICABLE ANALYSIS, 2022, 101 (14) : 4851 - 4865
  • [3] Well-posedness and exponential stability for coupled Lame system with viscoelastic term and strong damping
    Beniani, Abderrahmane
    Taouaf, Noureddine
    Benaissa, Abbes
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 75 (12) : 4397 - 4404
  • [4] A well-posedness and exponential decay of solutions for a coupled Lame system with viscoelastic term and logarithmic source terms*
    Boulaaras, Salah
    APPLICABLE ANALYSIS, 2021, 100 (07) : 1514 - 1532
  • [5] Well-posedness and exponential stability of a flexible structure with second sound and time delay
    Li, Gang
    Luan, Yue
    Yu, Jiangyong
    Jiang, Feida
    APPLICABLE ANALYSIS, 2019, 98 (16) : 2903 - 2915
  • [6] WELL-POSEDNESS AND EXPONENTIAL STABILITY FOR A WAVE EQUATION WITH NONLOCAL TIME-DELAY CONDITION
    Raposo, Carlos A.
    Hoang Nguyen
    Ribeiro, Joilson O.
    Barros, Vanessa
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
  • [7] Well-posedness and exponential stability of an abstract evolution equation with infinite memory and time delay
    Guesmia, Aissa
    IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2013, 30 (04) : 507 - 526
  • [8] Well-posedness and exponential stability of a thermoelastic-Bresse system with second sound and delay
    Li, Gang
    Luan, Yue
    Liu, Wenjun
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2020, 49 (02): : 523 - 538
  • [9] WELL-POSEDNESS AND EXPONENTIAL STABILITY OF THE WAVE EQUATION WITH DELAY AND THERMODIFFUSION EFFECTS
    Douib, Madani
    Aidi, Mohamed
    MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2024, 93 : 67 - 78
  • [10] Well-posedness and exponential stability of Timoshenko system of second sound with time-varying delay and forcing terms
    Khaldi O.
    Rahmoune A.
    Ouchenane D.
    Yazid F.
    ANNALI DELL'UNIVERSITA' DI FERRARA, 2024, 70 (2) : 331 - 358
12345