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Monotone viable trajectories for functional differential inclusions

dc.contributor.authorHaddad, Georges
dc.date.accessioned2014-05-19T08:38:54Z
dc.date.available2014-05-19T08:38:54Z
dc.date.issued1981
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/13313
dc.language.isoenen
dc.subjectfunctional differential inclusionsen
dc.subject.ddc515en
dc.titleMonotone viable trajectories for functional differential inclusionsen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenThis paper is a study on functional differential inclusions with memory which represent the multivalued version of retarded functional differential equations. The main result gives a necessary and sufficient equations. The main result gives a necessary and sufficient condition ensuring the existence of viable trajectories; that means trajectories remaining in a given nonempty closed convex set defined by given constraints the system must satisfy to be viable. Some motivations for this paper can be found in control theory where F(t, φ) = {f(t, φ, u)}uϵU is the set of possible velocities of the system at time t, depending on the past history represented by the function φ and on a control u ranging over a set U of controls. Other motivations can be found in planning procedures in microeconomics and in biological evolutions where problems with memory do effectively appear in a multivalued version. All these models require viability constraints represented by a closed convex set.en
dc.relation.isversionofjnlnameJournal of Differential Equations
dc.relation.isversionofjnlvol42en
dc.relation.isversionofjnlissue1en
dc.relation.isversionofjnldate1981
dc.relation.isversionofjnlpages1-24en
dc.relation.isversionofdoihttp://dx.doi.org/10.1016/0022-0396(81)90031-0en
dc.relation.isversionofjnlpublisherElsevieren
dc.subject.ddclabelAnalyseen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen


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