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

Bibliographic Details
Main Author: Nonato, Carlos A. S.
Publication Date: 2022
Other Authors: Raposo, Carlos A., Bastos, Waldemar D. [UNESP]
Format: Article
Language: eng
Source: Repositório Institucional da UNESP
Download full: http://hdl.handle.net/11449/245612
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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repository_id_str 2946
spelling A TRANSMISSION PROBLEM FOR WAVES UNDER TIME-VARYING DELAY AND TIME-VARYING WEIGHTSTransmission problemTime-varying delayTime-varying weightsExponential stabilityThis 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.Coordena��o de Aperfei�oamento de Pessoal de N�vel Superior (CAPES)Univ Fed Bahia, Math Dept, BR-40170110 Salvador, Ba, BrazilSao Paulo State Univ, Math Dept, BR-15054352 Sao Jose Do Rio Preto, SP, BrazilSao Paulo State Univ, Math Dept, BR-15054352 Sao Jose Do Rio Preto, SP, BrazilInt Press Boston, IncUniversidade Federal da Bahia (UFBA)Universidade Estadual Paulista (UNESP)Nonato, Carlos A. S.Raposo, Carlos A.Bastos, Waldemar D. [UNESP]2023-07-29T12:00:01Z2023-07-29T12:00:01Z2022-09-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article229-248Methods and Applications of Analysis. Somerville: Int Press Boston, Inc, v. 29, n. 3, p. 229-248, 2022.1073-2772http://hdl.handle.net/11449/245612WOS:000964199000001Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengMethods And Applications Of Analysisinfo:eu-repo/semantics/openAccess2024-11-01T14:27:10Zoai:repositorio.unesp.br:11449/245612Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestrepositoriounesp@unesp.bropendoar:29462024-11-01T14:27:10Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv A TRANSMISSION PROBLEM FOR WAVES UNDER TIME-VARYING DELAY AND TIME-VARYING WEIGHTS
title A TRANSMISSION PROBLEM FOR WAVES UNDER TIME-VARYING DELAY AND TIME-VARYING WEIGHTS
spellingShingle A TRANSMISSION PROBLEM FOR WAVES UNDER TIME-VARYING DELAY AND TIME-VARYING WEIGHTS
Nonato, Carlos A. S.
Transmission problem
Time-varying delay
Time-varying weights
Exponential stability
title_short A TRANSMISSION PROBLEM FOR WAVES UNDER TIME-VARYING DELAY AND TIME-VARYING WEIGHTS
title_full A TRANSMISSION PROBLEM FOR WAVES UNDER TIME-VARYING DELAY AND TIME-VARYING WEIGHTS
title_fullStr A TRANSMISSION PROBLEM FOR WAVES UNDER TIME-VARYING DELAY AND TIME-VARYING WEIGHTS
title_full_unstemmed A TRANSMISSION PROBLEM FOR WAVES UNDER TIME-VARYING DELAY AND TIME-VARYING WEIGHTS
title_sort A TRANSMISSION PROBLEM FOR WAVES UNDER TIME-VARYING DELAY AND TIME-VARYING WEIGHTS
author Nonato, Carlos A. S.
author_facet Nonato, Carlos A. S.
Raposo, Carlos A.
Bastos, Waldemar D. [UNESP]
author_role author
author2 Raposo, Carlos A.
Bastos, Waldemar D. [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Federal da Bahia (UFBA)
Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Nonato, Carlos A. S.
Raposo, Carlos A.
Bastos, Waldemar D. [UNESP]
dc.subject.por.fl_str_mv Transmission problem
Time-varying delay
Time-varying weights
Exponential stability
topic Transmission problem
Time-varying delay
Time-varying weights
Exponential stability
description 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.
publishDate 2022
dc.date.none.fl_str_mv 2022-09-01
2023-07-29T12:00:01Z
2023-07-29T12:00:01Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv Methods and Applications of Analysis. Somerville: Int Press Boston, Inc, v. 29, n. 3, p. 229-248, 2022.
1073-2772
http://hdl.handle.net/11449/245612
WOS:000964199000001
identifier_str_mv Methods and Applications of Analysis. Somerville: Int Press Boston, Inc, v. 29, n. 3, p. 229-248, 2022.
1073-2772
WOS:000964199000001
url http://hdl.handle.net/11449/245612
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Methods And Applications Of Analysis
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 229-248
dc.publisher.none.fl_str_mv Int Press Boston, Inc
publisher.none.fl_str_mv Int Press Boston, Inc
dc.source.none.fl_str_mv Web of Science
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv repositoriounesp@unesp.br
_version_ 1834483268337008640

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