Publicação: Periodic solutions of measure functional differential equations
dc.contributor.author | Afonso, S. M. [UNESP] | |
dc.contributor.author | Bonotto, E. M. | |
dc.contributor.author | da Silva, Márcia R. | |
dc.contributor.institution | Universidade Estadual Paulista (UNESP) | |
dc.contributor.institution | Universidade de São Paulo (USP) | |
dc.date.accessioned | 2022-04-28T19:47:44Z | |
dc.date.available | 2022-04-28T19:47:44Z | |
dc.date.issued | 2022-02-05 | |
dc.description.abstract | In 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.affiliation | Universidade Estadual Paulista (UNESP) Instituto de Geociências e Ciências Exatas, Câmpus de Rio Claro, Avenida 24-A, 1515, Bela Vista | |
dc.description.affiliation | Instituto de Ciências Matemáticas e de Computação Universidade de São Paulo-Campus de São Carlos, Caixa Postal 668 | |
dc.description.affiliationUnesp | Universidade Estadual Paulista (UNESP) Instituto de Geociências e Ciências Exatas, Câmpus de Rio Claro, Avenida 24-A, 1515, Bela Vista | |
dc.description.sponsorship | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
dc.description.sponsorship | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
dc.description.sponsorship | Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) | |
dc.description.sponsorshipId | FAPESP: 2019/03188-7 | |
dc.description.sponsorshipId | CNPq: 310540/2019-4 | |
dc.description.sponsorshipId | CAPES: PROEX-10537140/D | |
dc.format.extent | 196-230 | |
dc.identifier | http://dx.doi.org/10.1016/j.jde.2021.11.031 | |
dc.identifier.citation | Journal of Differential Equations, v. 309, p. 196-230. | |
dc.identifier.doi | 10.1016/j.jde.2021.11.031 | |
dc.identifier.issn | 1090-2732 | |
dc.identifier.issn | 0022-0396 | |
dc.identifier.scopus | 2-s2.0-85120182326 | |
dc.identifier.uri | http://hdl.handle.net/11449/222949 | |
dc.language.iso | eng | |
dc.relation.isnodouble | 21719 | * |
dc.relation.ispartof | Journal of Differential Equations | |
dc.source | Scopus | |
dc.subject | Impulsive differential equations | |
dc.subject | Measure functional differential equations | |
dc.subject | Periodic solutions | |
dc.subject | Topological transversality | |
dc.title | Periodic solutions of measure functional differential equations | en |
dc.type | Artigo | |
dspace.entity.type | Publication | |
unesp.author.orcid | 0000-0002-7496-1475[2] |