Publicação:
Periodic solutions of measure functional differential equations

dc.contributor.authorAfonso, S. M. [UNESP]
dc.contributor.authorBonotto, E. M.
dc.contributor.authorda Silva, Márcia R.
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.date.accessioned2022-04-28T19:47:44Z
dc.date.available2022-04-28T19:47:44Z
dc.date.issued2022-02-05
dc.description.abstractIn this article, we study the existence of periodic solutions for measure functional differential equations of the form x(t)=x(0)+∫0tf(s,xs)ds+∫0tg(s,xs)du(s), defined for every t∈R, under suitable assumptions on f,g and u, where the integrals on the right–hand side exist in the Perron and Perron–Stieltjes sense, respectively. We make use of a topological transversality theorem to obtain the main result. Some examples are presented to illustrate the developed theory. Moreover, we apply the results obtained in the context of measure functional differential equations to establish the existence of periodic solutions for a class of impulsive functional differential equations.en
dc.description.affiliationUniversidade Estadual Paulista (UNESP) Instituto de Geociências e Ciências Exatas, Câmpus de Rio Claro, Avenida 24-A, 1515, Bela Vista
dc.description.affiliationInstituto de Ciências Matemáticas e de Computação Universidade de São Paulo-Campus de São Carlos, Caixa Postal 668
dc.description.affiliationUnespUniversidade Estadual Paulista (UNESP) Instituto de Geociências e Ciências Exatas, Câmpus de Rio Claro, Avenida 24-A, 1515, Bela Vista
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.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipIdFAPESP: 2019/03188-7
dc.description.sponsorshipIdCNPq: 310540/2019-4
dc.description.sponsorshipIdCAPES: PROEX-10537140/D
dc.format.extent196-230
dc.identifierhttp://dx.doi.org/10.1016/j.jde.2021.11.031
dc.identifier.citationJournal of Differential Equations, v. 309, p. 196-230.
dc.identifier.doi10.1016/j.jde.2021.11.031
dc.identifier.issn1090-2732
dc.identifier.issn0022-0396
dc.identifier.scopus2-s2.0-85120182326
dc.identifier.urihttp://hdl.handle.net/11449/222949
dc.language.isoeng
dc.relation.isnodouble21719*
dc.relation.ispartofJournal of Differential Equations
dc.sourceScopus
dc.subjectImpulsive differential equations
dc.subjectMeasure functional differential equations
dc.subjectPeriodic solutions
dc.subjectTopological transversality
dc.titlePeriodic solutions of measure functional differential equationsen
dc.typeArtigo
dspace.entity.typePublication
unesp.author.orcid0000-0002-7496-1475[2]

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