Concave iteration semigroups of linear continuous set-valued functions

Let {F (t) : t a parts per thousand yen 0} be a concave iteration semigroup of linear continuous set-valued functions defined on a convex cone K with nonempty interior in a Banach space X with values in cc(K). If we assume that the Hukuhara differences F (0)(x) - F (t) (x) exist for x a K and t > 0, then D (t) F (t) (x) = (-1)F (t) ((-1)G(x)) for x a K and t a parts per thousand yen 0, where D (t) F (t) (x) denotes the derivative of F (t) (x) with respect to t and for x a K.