On the weak polar cone of the solution set of a differential inclusion with conic graph

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.