... X,thenP has a fixed point in H. In this paper, we denote that C is a positive constant, and assume that a family ofclosed linear operators {At}t∈Jsatisfying the following.A1 The domain ... obtain the existence theorem based on the measures of noncompactness without the assumptions that the nonlinearity f satisfies a Lipschitz type condition and the semigroup {exp−tAs}generated ... 1989.7 J. Liang and T. J. Xiao, “Functional-differentialequationswithinfinitedelayinBanachspaces,”International Journal of Mathematics and Mathematical Sciences, vol. 14, no. 3, pp. 497–508, 1991.8...