A TRANSMISSION PROBLEM FOR WAVES UNDER TIME-VARYING DELAY AND TIME-VARYING WEIGHTS
Autor(a) principal: | |
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Data de Publicação: | 2022 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://hdl.handle.net/11449/245612 |
Resumo: | 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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Repositório Institucional da UNESP |
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2946 |
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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/openAccess2023-07-29T12:00:01Zoai:repositorio.unesp.br:11449/245612Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T16:55:28.953858Repositório 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 |
|
_version_ |
1808128721523048448 |