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dc.contributor.authorLongo, Iacopo Paolo
dc.contributor.authorNovo, Sylvia 
dc.contributor.authorObaya, Rafael 
dc.date.accessioned2020-01-14T15:49:02Z
dc.date.available2020-01-14T15:49:02Z
dc.date.issued2019
dc.identifier.citationJournal of Dynamics and Differential Equations 31 (2019), 1617-1651.es
dc.identifier.issn1040-7294es
dc.identifier.urihttp://uvadoc.uva.es/handle/10324/40199
dc.descriptionProducción Científicaes
dc.description.abstractWe introduce new weak topologies and spaces of Carathéodory functions where the solutions of the ordinary differential equations depend continuously on the initial data and vector fields. The induced local skew-product flow is proved to be continuous, and a notion of linearized skew-product flow is provided. Two applications are shown. First, the propagation of the exponential dichotomy over the trajectories of the linearized skew-product flow and the structure of the dichotomy or Sacker–Sell spectrum. Second, how particular bounded absorbing sets for the process defined by a Carathéodory vector field f provide bounded pullback attractors for the processes with vector fields in the alpha-limit set, the omega-limitset or the whole hull of f. Conditions for the existence of a pullback or a global attractor for the skew-product semiflow, as well as application examples are also given.es
dc.format.mimetypeapplication/pdfes
dc.language.isoenges
dc.publisherSpringeres
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.subject.classificationNon-autonomous Carathéodory differential equations, Linearized skew-product flow, Exponential dichotomy, Pullback and forward attractorses
dc.titleWeak topologies for Carathéodory differential equations: continuous dependence, exponential dichotomy and attractorses
dc.typeinfo:eu-repo/semantics/articlees
dc.identifier.doihttps://doi.org/10.1007/s10884-018-9710-yes
dc.relation.publisherversionhttps://link.springer.com/content/pdf/10.1007/s10884-018-9710-y.pdfes
dc.identifier.publicationfirstpage1617es
dc.identifier.publicationissue31es
dc.identifier.publicationlastpage1651es
dc.identifier.publicationtitleWeak Topologies for Carathéodory Differential Equations:Continuous Dependence, Exponential Dichotomy and Attractorses
dc.peerreviewedSIes
dc.description.projectMINECO/FEDER Grant MTM2015-66330-Pes
dc.description.projectH2020-MSCA-ITN-2014 643073 CRITICSes
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/H2020/643073
dc.type.hasVersioninfo:eu-repo/semantics/acceptedVersiones


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