Geodesic
On the weak polar cone of the solution set of a~differential inclusion with conic graph
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 4, pp. 238-246

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A differential inclusion with values in a reflexive Banach space such that its right-hand side is at each time a convex closed cone is considered. The form of the weak polar cone of the cone of strongly bounded solutions to the Cauchy problem for this inclusion is found. A solution is called strongly bounded if it is an absolutely continuous function (in a wide sense) and its derivative is essentially bounded.
Keywords: polar cone, multivalued mapping, differential inclusion, convex process. 
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     title = {On the weak polar cone of the solution set of a~differential inclusion with conic graph},
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E. S. Polovinkin. On the weak polar cone of the solution set of a~differential inclusion with conic graph. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 4, pp. 238-246. http://geodesic.mathdoc.fr/item/TIMM_2014_20_4_a20/