A TRANSMISSION PROBLEM FOR WAVES UNDER TIME-VARYING DELAY AND TIME-VARYING WEIGHTS

被引：0
作者：
Nonato, Carlos A. S. [1 ]
Raposo, Carlos A. [1 ]
Bastos, Waldemar D. [2 ]
机构：
[1] Univ Fed Bahia, Math Dept, BR-40170110 Salvador, Ba, Brazil
[2] Sao Paulo State Univ, Math Dept, BR-15054352 Sao Jose Do Rio Preto, SP, Brazil
来源：
METHODS AND APPLICATIONS OF ANALYSIS | 2022年 / 29卷 / 03期
关键词：
Transmission problem; Time-varying delay; Time-varying weights; Exponential stability; EXPONENTIAL STABILITY; STABILIZATION; EQUATION; SYSTEMS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This manuscript focuses on in the transmission problem for one dimensional waves with time-varying weights on the frictional damping and time-varying delay. We prove global exis-tence of solutions using Kato's variable norm technique and we show the exponential stability by the energy method with the construction of a suitable Lyapunov functional.
引用
收藏
页码：229 / 248
页数：20
相关论文
共 29 条
[21]   EXPONENTIAL STABILITY OF THE WAVE EQUATION WITH BOUNDARY TIME-VARYING DELAY [J].
Nicaise, Serge ;
Pignotti, Cristina ;
Valein, Julie .
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2011, 4 (03) :693-722
[22]  
ORLOV Y., 2007, IFAC WORKSH TDS NANT
[23]  
Pazy A., 1983, SEMIGROUPS LINEAR OP, DOI [10.1007/978-1-4612-5561-1, DOI 10.1007/978-1-4612-5561-1]
[24]   Recent applications of viscoelastic damping for noise control in automobiles and commercial airplanes [J].
Rao, MD .
JOURNAL OF SOUND AND VIBRATION, 2003, 262 (03) :457-474
[25]   Stabilization of Timoshenko beam [J].
Soufyane, A .
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1999, 328 (08) :731-734
[26]   Stabilization of wave systems with input delay in the boundary control [J].
Xu, Gen Qi ;
Yung, Siu Pang ;
Li, Leong Kwan .
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2006, 12 (04) :770-785
[27]  
Zitouni S., 2016, Math. Morav, V20, P143, DOI 10.5937/MatMor1602143Z
[28]  
Zitouni S., 2018, Nonlinear Stud, V25, P445
[29]  
Zitouni S., 2017, ROMAI J, V13, P143
123