We prove the existence of a continuous selection of the multivalued mapφ→Φ(φ)which is the set of all mild solutions of the evolution inclusionx(t)∈Ax(t)+F(t,x(t))+∫0th(t?s)g(x(s))dsx(0)=φ.HereFis a multivalued map, Lipschitzian with respect tox, andAis the infinitesimal generator of aC0-semigroup.
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