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First-order nonlinear dynamic initial value problems

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dc.contributor.authorBohner, Martin
dc.contributor.authorTikare, Sanket
dc.contributor.authordos Santos, Iguer Luis Domini [UNESP]
dc.contributor.institutionMissouri University of Science and Technology
dc.contributor.institutionRamniranjan Jhunjhunwala College
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.date.accessioned2022-04-29T08:32:45Z
dc.date.available2022-04-29T08:32:45Z
dc.date.issued2021-01-01
dc.description.abstractWe prove three existence theorems for solutions of first-order dynamic initial value problems, including corresponding continuous and discrete cases. The main tools are fixed point theorems and dynamic inequalities. Two more results are given that discuss dependence of solutions on the initial conditions as well as convergence of sequences of solutions.en
dc.description.affiliationDepartment of Mathematics and Statistics Missouri University of Science and Technology
dc.description.affiliationDepartment of Mathematics Ramniranjan Jhunjhunwala College, Ghatkopar (W), M.S.
dc.description.affiliationFaculdade de Engenharia de Ilha Solteira Departamento de Matemática UNESP - Universidade Estadual Paulista, Av. Brasil, 56, Ilha Solteira
dc.description.affiliationUnespFaculdade de Engenharia de Ilha Solteira Departamento de Matemática UNESP - Universidade Estadual Paulista, Av. Brasil, 56, Ilha Solteira
dc.description.sponsorshipAlma College
dc.description.sponsorshipIdAlma College: 935/17102019
dc.format.extent241-254
dc.identifierhttp://dx.doi.org/10.1504/IJDSDE.2021.117358
dc.identifier.citationInternational Journal of Dynamical Systems and Differential Equations, v. 11, n. 3-4, p. 241-254, 2021.
dc.identifier.doi10.1504/IJDSDE.2021.117358
dc.identifier.issn1752-3591
dc.identifier.issn1752-3583
dc.identifier.scopus2-s2.0-85114474654
dc.identifier.urihttp://hdl.handle.net/11449/229484
dc.language.isoeng
dc.relation.ispartofInternational Journal of Dynamical Systems and Differential Equations
dc.sourceScopus
dc.subjectContinuous dependence
dc.subjectDynamic equation
dc.subjectDynamic inequalities
dc.subjectExistence
dc.subjectFirst-order nonlinear
dc.subjectFixed point theorems
dc.subjectTime scales
dc.titleFirst-order nonlinear dynamic initial value problemsen
dc.typeArtigo
unesp.departmentMatemática - FEISpt

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Ilha Solteira - FEIS - Faculdade de Engenharia