Stability, asymptotic and exponential stability for various types of equations with discontinuous solutions via Lyapunov functionals

Gallegos, Claudio Acunã; Grau, Rogelio; Mesquita, Jaqueline Godoy

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Campo DC	Valor	Idioma
dc.contributor.author	Gallegos, Claudio Acunã	-
dc.contributor.author	Grau, Rogelio	-
dc.contributor.author	Mesquita, Jaqueline Godoy	-
dc.date.accessioned	2024-02-18T02:41:08Z	-
dc.date.available	2024-02-18T02:41:08Z	-
dc.date.issued	2021	-
dc.identifier.citation	GALLEGOS,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.uri	http://repositorio2.unb.br/jspui/handle/10482/47776	-
dc.language.iso	eng	pt_BR
dc.publisher	Elsevier	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	Stability, asymptotic and exponential stability for various types of equations with discontinuous solutions via Lyapunov functionals	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Equação diferencial	pt_BR
dc.subject.keyword	Integral deHenstock–Kurzweil	pt_BR
dc.subject.keyword	Teoria de Lyapunov	pt_BR
dc.identifier.doi	https://doi.org/10.1016/j.jde.2021.07.012	pt_BR
dc.description.abstract1	In 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.orcid	https://orcid.org/0000-0002-4630-4101	pt_BR
dc.identifier.orcid	https://orcid.org/0000-0002-1255-9384	pt_BR
dc.contributor.affiliation	Universidad de Santiago de Chile, Departamento de Matemática	pt_BR
dc.contributor.affiliation	Universidad del Norte, Departamento de Matemáticas y Estadística	pt_BR
dc.contributor.affiliation	Universidade de Brasília, Departamento de Matemática	pt_BR
dc.description.unidade	Instituto de Ciências Exatas (IE)	pt_BR
dc.description.unidade	Departamento de Matemática (IE MAT)	pt_BR
dc.description.ppg	Programa de Pós-Graduação em Matemática	pt_BR
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