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dc.contributor.authorGetto, P.
dc.contributor.authorWaurick, M.
dc.date.accessioned2016-06-13T13:32:21Z
dc.date.available2016-06-13T13:32:21Z
dc.date.issued2015-12-31
dc.identifier.issn0022-0396
dc.identifier.urihttp://hdl.handle.net/20.500.11824/151
dc.description.abstractWe analyze a differential equation, describing the maturation of a stem cell population, with a state-dependent delay, which is implicitly defined via the solution of an ODE. We elaborate smoothness conditions for the model ingredients, in particular vital rates, that guarantee the existence of a local semiflow and allow to specify the linear variational equation. The proofs are based on theoretical results of Hartung et al. combined with implicit function arguments in infinite dimensions. Moreover we elaborate a criterion for global existence for differential equations with state-dependent delay. To prove the result we adapt a theorem by Hale and Lunel to the C1 -topology and use a result on metric spaces from Diekmann et al.
dc.formatapplication/pdf
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectDelay differential equation
dc.subjectState-dependent delay
dc.subjectSemiflow
dc.subjectGlobal existence
dc.subjectStructured populations
dc.subjectStem cell model
dc.titleA differential equation with state-dependent delay from cell population biology
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1016/j.jde.2015.12.038
dc.relation.publisherversionhttp://www.sciencedirect.com/science/article/pii/S0022039615007032
dc.relation.projectIDinfo:eu-repo/grantAgreement/MICINN//MTM2010-18318en_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/acceptedVersionen_US
dc.journal.titleJournal of Differential Equationsen_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
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