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dc.contributor.authorSantos, Iguer L.D. [UNESP]
dc.contributor.authorSilva, Geraldo N. [UNESP]
dc.date.accessioned2014-05-27T11:27:26Z
dc.date.available2014-05-27T11:27:26Z
dc.date.issued2013-01-01
dc.identifierhttp://dx.doi.org/10.1007/s00208-012-0851-8
dc.identifier.citationMathematische Annalen, v. 356, n. 1, p. 373-399, 2013.
dc.identifier.issn0025-5831
dc.identifier.urihttp://hdl.handle.net/11449/74106
dc.description.abstractWe provide some properties for absolutely continuous functions in time scales. Then we consider a class of dynamical inclusions in time scales and extend to this class a convergence result of a sequence of almost inclusion trajectories to a limit which is actually a trajectory of the inclusion in question. We also introduce the so called Euler solution to dynamical systems in time scales and prove its existence. A combination of the existence of Euler solutions with the compactness type result described above ensures the existence of an actual trajectory for the dynamical inclusion when the setvalued vector field is nonempty, compact, convex and has closed graph. © 2012 Springer-Verlag.en
dc.format.extent373-399
dc.language.isoeng
dc.relation.ispartofMathematische Annalen
dc.sourceScopus
dc.subject34A12
dc.subject34A60
dc.subject34N05
dc.titleAbsolute continuity and existence of solutions to dynamic inclusions in time scalesen
dc.typeArtigo
dcterms.licensehttp://www.springer.com/open+access/authors+rights
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.description.affiliationUNESP-Universidade Estadual Paulista, Rua Cristovao Colombo, 2265, São José do Rio Preto, SP, 15054-100
dc.description.affiliationUnespUNESP-Universidade Estadual Paulista, Rua Cristovao Colombo, 2265, São José do Rio Preto, SP, 15054-100
dc.identifier.doi10.1007/s00208-012-0851-8
dc.identifier.wosWOS:000317143200016
dc.rights.accessRightsAcesso restrito
dc.identifier.scopus2-s2.0-84875747377
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Biociências Letras e Ciências Exatas, São José do Rio Pretopt
dc.relation.ispartofjcr1.231
dc.relation.ispartofsjr3,101
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