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
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