Abstract

For a general functional differential inclusions of the forms ż(t) E F(t, zt) in a Banach space, where Fa locally Lipschitzean multifunction of zt, the set of solutions is proved to be non-empty and dense in the set of solutions of the convezified differential inclusion i(t) E CICOF(t, zt). As an application, the obtained results are applied to the class of differential difference inclusions.