Structure of the pullback attractor for a non-autonomous scalar differential inclusion

Caraballo Garrido, Tomás; Langa Rosado, José Antonio

doi:10.3934/dcdss.2016037

Artículo

dc.creator	Caraballo Garrido, Tomás	es
dc.creator	Langa Rosado, José Antonio	es
dc.date.accessioned	2016-09-12T08:08:36Z
dc.date.available	2016-09-12T08:08:36Z
dc.date.issued	2016-08
dc.identifier.citation	Caraballo Garrido, T. y Langa Rosado, J.A. (2016). Structure of the pullback attractor for a non-autonomous scalar differential inclusion. Discrete and Continuous Dynamical Systems - Series S, 9 (4), 979-994.
dc.identifier.issn	1937-1632	es
dc.identifier.issn	1937-1179	es
dc.identifier.uri	http://hdl.handle.net/11441/44886
dc.description.abstract	The structure of attractors for differential equations is one of the main topics in the qualitative theory of dynamical systems. However, the theory is still in its infancy in the case of multivalued dynamical systems. In this paper we study in detail the structure and internal dynamics of a scalar differential equation, both in the autonomous and nonautonomous cases. To this aim, we will also show a general result on the characterization of a pullback attractor for a multivalued process by the union of all the complete bounded trajectories of the system.	es
dc.description.sponsorship	Fondo Europeo de Desarrollo Regional	es
dc.description.sponsorship	Ministerio de Economía y Competitividad	es
dc.description.sponsorship	Junta de Andalucía	es
dc.description.sponsorship	Brazilian-European partnership in Dynamical Systems	es
dc.description.sponsorship	Fundación Séneca-Agencia de Ciencia y Tecnología de la Region de Murcia	es
dc.format	application/pdf	es
dc.language.iso	eng	es
dc.publisher	American Institute of Mathematical Sciences	es
dc.relation.ispartof	Discrete and Continuous Dynamical Systems - Series S, 9 (4), 979-994.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Non-autonomous dynamical systems	es
dc.subject	Differential inclusion	es
dc.subject	Pullback attractor	es
dc.subject	Structure of the attracor	es
dc.subject	Multivalued dynamical systems	es
dc.title	Structure of the pullback attractor for a non-autonomous scalar differential inclusion	es
dc.type	info:eu-repo/semantics/article	es
dcterms.identifier	https://ror.org/03yxnpp24
dc.type.version	info:eu-repo/semantics/submittedVersion	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es
dc.contributor.affiliation	Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico	es
dc.relation.projectID	info:eu-repo/grantAgreement/MINECO/MTM2015- 63723-P	es
dc.relation.projectID	info:eu-repo/grantAgreement/MINECO/MTM2012-31698	es
dc.relation.projectID	P12-FQM-1492	es
dc.relation.projectID	info:eu-repo/grantAgreement/EC/FP7/318999	es
dc.relation.projectID	19294/PI/14	es
dc.relation.publisherversion	https://aimsciences.org/journals/pdfs.jsp?paperID=12854&mode=full	es
dc.identifier.doi	10.3934/dcdss.2016037	es
dc.contributor.group	Universidad de Sevilla. FQM314: Análisis Estocástico de Sistemas Diferenciales	es
idus.format.extent	16 p.	es
dc.journaltitle	Discrete and Continuous Dynamical Systems - Series S	es
dc.publication.volumen	9	es
dc.publication.issue	4	es
dc.publication.initialPage	979	es
dc.publication.endPage	994	es
dc.identifier.idus	https://idus.us.es/xmlui/handle/11441/44886

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