A TRANSMISSION PROBLEM FOR WAVES UNDER TIME-VARYING DELAY AND TIME-VARYING WEIGHTS
| dc.contributor.author | Nonato, Carlos A. S. | |
| dc.contributor.author | Raposo, Carlos A. | |
| dc.contributor.author | Bastos, Waldemar D. [UNESP] | |
| dc.contributor.institution | Universidade Federal da Bahia (UFBA) | |
| dc.contributor.institution | Universidade Estadual Paulista (UNESP) | |
| dc.date.accessioned | 2023-07-29T12:00:01Z | |
| dc.date.available | 2023-07-29T12:00:01Z | |
| dc.date.issued | 2022-09-01 | |
| dc.description.abstract | 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. | en |
| dc.description.affiliation | Univ Fed Bahia, Math Dept, BR-40170110 Salvador, Ba, Brazil | |
| dc.description.affiliation | Sao Paulo State Univ, Math Dept, BR-15054352 Sao Jose Do Rio Preto, SP, Brazil | |
| dc.description.affiliationUnesp | Sao Paulo State Univ, Math Dept, BR-15054352 Sao Jose Do Rio Preto, SP, Brazil | |
| dc.description.sponsorship | Coordena��o de Aperfei�oamento de Pessoal de N�vel Superior (CAPES) | |
| dc.format.extent | 229-248 | |
| dc.identifier.citation | Methods and Applications of Analysis. Somerville: Int Press Boston, Inc, v. 29, n. 3, p. 229-248, 2022. | |
| dc.identifier.issn | 1073-2772 | |
| dc.identifier.uri | http://hdl.handle.net/11449/245612 | |
| dc.identifier.wos | WOS:000964199000001 | |
| dc.language.iso | eng | |
| dc.publisher | Int Press Boston, Inc | |
| dc.relation.ispartof | Methods And Applications Of Analysis | |
| dc.source | Web of Science | |
| dc.subject | Transmission problem | |
| dc.subject | Time-varying delay | |
| dc.subject | Time-varying weights | |
| dc.subject | Exponential stability | |
| dc.title | A TRANSMISSION PROBLEM FOR WAVES UNDER TIME-VARYING DELAY AND TIME-VARYING WEIGHTS | en |
| dc.type | Artigo | |
| dcterms.rightsHolder | Int Press Boston, Inc | |
| dspace.entity.type | Publication | |
| unesp.campus | Universidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Preto | pt |
| unesp.department | Matemática - IBILCE | pt |