Singularly perturbed delayed differential inclusions

ЗаглавиеSingularly perturbed delayed differential inclusions
Вид публикацияJournal Article
Година на публикуване1999
АвториDonchev T, Slavov I
СписаниеAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Том91
IssueLivre 1 - Mathématiques et Mecanique
Pagination61-71
ISSN0205-0808
ключови думиdelayed differential inclusions, Radon measures, singular perturbation
Резюме

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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