VIABILITY AND LOCAL INVARIANCE FOR NON-CONVEX SEMILINEAR DIFFERENTIAL INCLUSIONS

Abstract

Let X be a separable Banach space, A : D(A) subset X -> X the infinitesimal generator of C0-semigroup {S(t), t geq 0}, Omega, a nonempty subset in X and F : [a, b) times Omega-> 2^X a closed valued and locally integrable bounded multifunction, with F(., x) measurable and F(t,.) Lipschitz continuous in the Hausdorff metric.