Title | Tikhonov's theorem for functional differential inclusions |
Publication Type | Journal Article |
Year of Publication | 1997 |
Authors | Donchev T, Slavov I |
Journal | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
Volume | 89 |
Issue | Livre 1 - Mathématiques et Mecanique |
Pagination | 69-78 |
ISSN | 0205-0808 |
Keywords | differential inclusions, equations of retarded type, Tikhonov theorem |
Abstract | We investigate differential inclusions and equations of a retarded type with a small real parameter $\varepsilon > 0$ in part of the derivatives. Analogues of the well-known in the theory of singularly perturbed ordinary differential equations theorem of Tikhonov are obtained. We prove lower semicontinuity of the solution set for inclusions and continuity of the solution for equations in the most appropriate topology when $\varepsilon \rightarrow 0$. |
1991/95 MSC | 49J40, 49K25, 49J45 |
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89-069-078.pdf | 941.75 KB |