Shift dynamical systems and measurable selectors of multivalued maps

A condition is given for the existence of homomorphisms from compact invariant sets of shift dynamical systems of strongly measurable multivalued maps with values in a complete metric space to shift dynamical systems of strongly measurable selectors of these maps. We prove the existence of recurrent and almost automorphic selectors of Stepanov type, satisfying certain complementary conditions, for multivalued recurrent and almost automorphic Stepanov-type maps.
Bibliography: 35 items.