The existence of pseudo-almost periodic solutions for some nonlinear differential equations in Banach spaces

Let (E,‖.‖)(E,‖.‖) be a real Banach, where [x,h]−[x,h]− denotes the limit of the quotient (‖x‖−‖x−th‖)/t(‖x‖−‖x−th‖)/t as 0