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dc.contributor.authorDomini dos Santos, Iguer Luis
dc.date.accessioned2018-11-26T16:16:34Z
dc.date.available2018-11-26T16:16:34Z
dc.date.issued2015-10-01
dc.identifierhttp://dx.doi.org/10.1007/s40590-015-0057-7
dc.identifier.citationBoletin De La Sociedad Matematica Mexicana. Basel: Springer Basel Ag, v. 21, n. 2, p. 205-218, 2015.
dc.identifier.issn1405-213X
dc.identifier.urihttp://hdl.handle.net/11449/160751
dc.description.abstractIn the present work, we study qualitative and quantitative results proposed in the paper Tisdell and Zaidi (Nonlinear Anal 68(11): 3504-3524, 2008) of first-order dynamic equations on time scales. Thus, we examine initial value problems described by dynamic equations on time scales of the form x(Delta) = f (t, x, x(sigma)). We obtain a result on the dependency of solutions to initial value problems with respect to initial values. Using Banach's fixed-point theorem, we prove the existence and uniqueness of solutions to initial value problems. On the other hand, under weaker hypothesis on f, using Schafer's fixed-point theorem, we obtain the existence of at least one solution to initial value problems.en
dc.format.extent205-218
dc.language.isoeng
dc.publisherSpringer
dc.relation.ispartofBoletin De La Sociedad Matematica Mexicana
dc.sourceWeb of Science
dc.subjectDynamic equations
dc.subjectExistence of solutions
dc.subjectContinuous dependence
dc.subjectTime scales
dc.titleOn qualitative and quantitative results for solutions to first-order dynamic equations on time scalesen
dc.typeArtigo
dcterms.licensehttp://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0
dcterms.rightsHolderSpringer
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.description.affiliationUNESP Univ Estadual Paulista, Dept Matemat, Fac Engn Ilha Solteira, BR-15385000 Sao Paulo, Brazil
dc.description.affiliationUnespUNESP Univ Estadual Paulista, Dept Matemat, Fac Engn Ilha Solteira, BR-15385000 Sao Paulo, Brazil
dc.identifier.doi10.1007/s40590-015-0057-7
dc.identifier.wosWOS:000360373700006
dc.rights.accessRightsAcesso aberto
dc.identifier.fileWOS000360373700006.pdf
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