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

页码：229 / 248

页数：20

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