Singularly perturbed delayed differential inclusions

TitleSingularly perturbed delayed differential inclusions
Publication TypeJournal Article
Year of Publication1999
AuthorsDonchev T, Slavov I
JournalAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Volume91
IssueLivre 1 - Mathématiques et Mecanique
Pagination61-71
ISSN0205-0808
Keywordsdelayed differential inclusions, Radon measures, singular perturbation
Abstract

The paper deals with singularly perturbed differential inclusions with time lag. The limit behaviour of the solution set when the singular parameter tends to zero is investigated. The limits of the fast solutions are considered as Radon probability measures. Then the upper semicontinuity of the solution set with respect to uniform convergence of the slow motions and to weak probability convergence of the fast motions is examined.

1991/95 MSC

main 34A60, 34K99, secondary 34D15

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