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Recursive properties of generalized ordinary differential equations and applications

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dc.contributor.authorBonotto, E. M.
dc.contributor.authorFederson, M.
dc.contributor.authorGadotti, M. C. [UNESP]
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.date.accessioned2022-04-28T19:44:46Z
dc.date.available2022-04-28T19:44:46Z
dc.date.issued2021-12-05
dc.description.abstractThe aim of this paper is to obtain results on topological properties of flows for nonnegative time in the framework of generalized ODEs. We define the concept of generalized semiflow and we present some recursive properties as minimality and recurrence. Using correspondence theorems, we translate our results to measure differential equations which are known to be special cases of generalized ODEs. Some examples are presented to illustrate the theory.en
dc.description.affiliationInstituto de Ciências Matemáticas e de Computação Universidade de São Paulo-Campus de São Carlos, Caixa Postal 668
dc.description.affiliationInstituto de Geociências e Ciências Exatas Univ. Estadual Paulista Júlio de Mesquita Filho Campus de Rio Claro
dc.description.affiliationUnespInstituto de Geociências e Ciências Exatas Univ. Estadual Paulista Júlio de Mesquita Filho Campus de Rio Claro
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipIdFAPESP: 2017/13795-2
dc.description.sponsorshipIdFAPESP: 2019/03188-7
dc.description.sponsorshipIdCNPq: 309344/2017-4
dc.description.sponsorshipIdCNPq: 310540/2019-4
dc.format.extent123-155
dc.identifierhttp://dx.doi.org/10.1016/j.jde.2021.09.013
dc.identifier.citationJournal of Differential Equations, v. 303, p. 123-155.
dc.identifier.doi10.1016/j.jde.2021.09.013
dc.identifier.issn1090-2732
dc.identifier.issn0022-0396
dc.identifier.scopus2-s2.0-85115232121
dc.identifier.urihttp://hdl.handle.net/11449/222452
dc.language.isoeng
dc.relation.ispartofJournal of Differential Equations
dc.sourceScopus
dc.subjectGeneralized ODEs
dc.subjectGeneralized semiflows
dc.subjectMeasure differential equations
dc.subjectMinimality
dc.subjectRecurrency
dc.titleRecursive properties of generalized ordinary differential equations and applicationsen
dc.typeArtigopt
dspace.entity.typePublication
unesp.author.orcid0000-0002-7496-1475[1]
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Geociências e Ciências Exatas, Rio Claropt

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Rio Claro - IGCE - Instituto de Geociências e Ciências Exatas