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

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 wi...

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Bibliographic Details
Authors: Nonato, Carlos A. S., Raposo, Carlos A., Bastos, Waldemar D. [UNESP]
Format: article
Status:Published version
Publication Date:2022
Country:Brasil
Institution:Universidade Estadual Paulista (UNESP)
Repository:Repositório Institucional da UNESP
Language:English
OAI Identifier:oai:repositorio.unesp.br:11449/245612
Online Access:http://hdl.handle.net/11449/245612
Access Level:Open access
Keyword:Transmission problem
Time-varying delay
Time-varying weights
Exponential stability
Description
Summary: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.

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