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Universidade de Brasília
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dc.contributor.authorGallegos, Claudio Acunã-
dc.contributor.authorGrau, Rogelio-
dc.contributor.authorMesquita, Jaqueline Godoy-
dc.date.accessioned2024-02-18T02:41:08Z-
dc.date.available2024-02-18T02:41:08Z-
dc.date.issued2021-
dc.identifier.citationGALLEGOS,Claudio Acuña, Gallegos, GRAU, Rogelio Grau; MESQUISTA, Jaqueline Godoy. Stability, asymptotic and exponential stability for various types of equations with discontinuous solutions via Lyapunov functionals. Journal of Differential Equations, [S.l.], v. 299. 2021. p. 256-283. DOI:https://doi.org/10.1016/j.jde.2021.07.012. Disponível em: https://www.sciencedirect.com/science/article/pii/S0022039621004496. Acesso em: 12 ago. 2023.pt_BR
dc.identifier.urihttp://repositorio2.unb.br/jspui/handle/10482/47776-
dc.language.isoengpt_BR
dc.publisherElsevierpt_BR
dc.rightsAcesso Restritopt_BR
dc.titleStability, asymptotic and exponential stability for various types of equations with discontinuous solutions via Lyapunov functionalspt_BR
dc.typeArtigopt_BR
dc.subject.keywordEquação diferencialpt_BR
dc.subject.keywordIntegral deHenstock–Kurzweilpt_BR
dc.subject.keywordTeoria de Lyapunovpt_BR
dc.identifier.doihttps://doi.org/10.1016/j.jde.2021.07.012pt_BR
dc.description.abstract1In this paper, we are interested in investigating stability results for generalized ordinary differential equations (generalized ODEs in short), and their applications to measure differential equations and dynamic equations on time scales. First, we establish stability, asymptotic and exponential stability for the trivial solution of generalized ODEs. Secondly, we use the well known correspondence between solutions of generalized ODEs and solutions of measure differential equations, obtaining analogues results for the last equations. Finally, we apply some of these results for dynamic equations on time scales.pt_BR
dc.identifier.orcidhttps://orcid.org/0000-0002-4630-4101pt_BR
dc.identifier.orcidhttps://orcid.org/0000-0002-1255-9384pt_BR
dc.contributor.affiliationUniversidad de Santiago de Chile, Departamento de Matemáticapt_BR
dc.contributor.affiliationUniversidad del Norte, Departamento de Matemáticas y Estadísticapt_BR
dc.contributor.affiliationUniversidade de Brasília, Departamento de Matemáticapt_BR
dc.description.unidadeInstituto de Ciências Exatas (IE)pt_BR
dc.description.unidadeDepartamento de Matemática (IE MAT)pt_BR
dc.description.ppgPrograma de Pós-Graduação em Matemáticapt_BR
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