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

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dc.contributor.authorNonato, Carlos A. S.
dc.contributor.authorRaposo, Carlos A.
dc.contributor.authorBastos, Waldemar D. [UNESP]
dc.contributor.institutionUniversidade Federal da Bahia (UFBA)
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.date.accessioned2023-07-29T12:00:01Z
dc.date.available2023-07-29T12:00:01Z
dc.date.issued2022-09-01
dc.description.abstractThis 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.en
dc.description.affiliationUniv Fed Bahia, Math Dept, BR-40170110 Salvador, Ba, Brazil
dc.description.affiliationSao Paulo State Univ, Math Dept, BR-15054352 Sao Jose Do Rio Preto, SP, Brazil
dc.description.affiliationUnespSao Paulo State Univ, Math Dept, BR-15054352 Sao Jose Do Rio Preto, SP, Brazil
dc.description.sponsorshipCoordena��o de Aperfei�oamento de Pessoal de N�vel Superior (CAPES)
dc.format.extent229-248
dc.identifier.citationMethods and Applications of Analysis. Somerville: Int Press Boston, Inc, v. 29, n. 3, p. 229-248, 2022.
dc.identifier.issn1073-2772
dc.identifier.urihttp://hdl.handle.net/11449/245612
dc.identifier.wosWOS:000964199000001
dc.language.isoeng
dc.publisherInt Press Boston, Inc
dc.relation.ispartofMethods And Applications Of Analysis
dc.sourceWeb of Science
dc.subjectTransmission problem
dc.subjectTime-varying delay
dc.subjectTime-varying weights
dc.subjectExponential stability
dc.titleA TRANSMISSION PROBLEM FOR WAVES UNDER TIME-VARYING DELAY AND TIME-VARYING WEIGHTSen
dc.typeArtigo
dcterms.rightsHolderInt Press Boston, Inc

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