Journal of Convex Analysis 07 (2000), No. 2, 437--444
Copyright Heldermann Verlag 2000
Viability Results for Nonautonomous Differential Inclusions
Ovidiu Carja
Faculty of Mathematics, University "Al. I. Cuza", 6600 Iasi, Romania
Manuel D. P. Monteiro Marques
Faculdade de Ciencias, University of Lisbon, 1699 Lisbon, Portugal
We obtain measurable viability results for the differential inclusion y'(t) in F(t,y(t)) via the approximation of F through the Aumann integral means. The admissibility of a preorder is also studied by reducing it to the viability of its sections.
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