Title | Singularly perturbed delayed differential inclusions |
Publication Type | Journal Article |
Year of Publication | 1999 |
Authors | Donchev T, Slavov I |
Journal | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
Volume | 91 |
Issue | Livre 1 - Mathématiques et Mecanique |
Pagination | 61-71 |
ISSN | 0205-0808 |
Keywords | delayed 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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91-061-071.pdf | 928.7 KB |