Geodesic
On Generalized Differentials, Viability and Invariance of Differential Inclusions
Journal of convex analysis, Tome 15 (2008) no. 4, pp. 819-83

Voir la notice de l'article provenant de la source Heldermann Verlag

Forward viability and invariance of time-dependent differential inclusions are studied with the aid of generalized differentials. Contingent derivative is compared with a newer concept of generalized differential quotient. It is shown that the latter is more suitable for expressing criteria of viability and invariance, as it better describes the directions tangent to invariant trajectories of differential inclusions. The concept of generalized differential quotient is related to Cellina continuously approximable set-valued functions whose properties are used.
Mots-clés : Differential inclusion, viability, invariance, Cellina continuously approximable multifunction, contingent derivative, generalized differential quotient 
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     author = {Z. Bartosiewicz and E. Girejko},
     title = {On {Generalized} {Differentials,} {Viability} and {Invariance} of {Differential} {Inclusions}},
     journal = {Journal of convex analysis},
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Z. Bartosiewicz; E. Girejko. On Generalized Differentials, Viability and Invariance of Differential Inclusions. Journal of convex analysis, Tome 15 (2008) no. 4, pp. 819-83. http://geodesic.mathdoc.fr/item/JCA_2008_15_4_JCA_2008_15_4_a8/