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Artículo
Non-Autonomous Attractor for Integro-Differential Evolution Equations
dc.creator | Caraballo Garrido, Tomás | es |
dc.creator | Kloeden, Peter E. | |
dc.date.accessioned | 2015-04-08T10:27:10Z | |
dc.date.available | 2015-04-08T10:27:10Z | |
dc.date.issued | 2009 | es |
dc.identifier.citation | Caraballo Garrido, T. y Kloeden, P.E. (2009). Non-Autonomous Attractor for Integro-Differential Evolution Equations. Discrete and Continuous Dynamical Systems. Series S, 2 (1), 17-36. | es |
dc.identifier.issn | 1937-1632 | es |
dc.identifier.uri | http://hdl.handle.net/11441/23682 | |
dc.description.abstract | We show that infinite-dimensional integro-differential equations which involve an integral of the solution over the time interval since starting can be formulated as non-autonomous delay differential equations with an infinite delay. Moreover, when conditions guaranteeing uniqueness of solutions do not hold, they generate a non-autonomous (possibly) multi-valued dynamical system (MNDS). The pullback attractors here are defined with respect to a universe of subsets of the state space with sub-exponetial growth, rather than restricted to bounded sets. The theory of non-autonomous pullback attractors is extended to such MNDS in a general setting and then applied to the original integro-differential equations. Examples based on the logistic equations with and without a diffusion term are considered. | |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.relation.ispartof | Discrete and Continuous Dynamical Systems. Series S, 2(1), 17-36 | es |
dc.rights | Atribución-NoComercial-SinDerivadas 4.0 España | es |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0 | es |
dc.subject | Integro-differential equation | |
dc.subject | differential equation with infinite delay | |
dc.subject | set-valued process | |
dc.subject | set-valued non-autonomous dynamical system | |
dc.subject | pullback attractor | |
dc.title | Non-Autonomous Attractor for Integro-Differential Evolution Equations | es |
dc.type | info:eu-repo/semantics/article | 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.identifier.doi | http://dx.doi.org/10.3934/dcdss.2009.2.17 | es |
dc.journaltitle | Discrete and Continuous Dynamical Systems. Series S | es |
dc.publication.volumen | 2 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 17 | es |
dc.publication.endPage | 36 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/23682 |
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