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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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