Reduction method for functional nonconvex differential inclusions

Our aim in this paper is to present a reduction method that solves first order functional differential inclusion the nonconvex case. This approach based on discretization of time interval, construction approximate solutions by reducing problem without delay and an application known results We generalises earlier results, right hand side has values satisfies linear growth condition instead be integrably bounded. The lack convexity replaced topological properties decomposable sets, represents good alternative absence convexity.