A type of nonautonomous differential-iterative equations with complex deviationargument as follows is considered: x'(t) = (x2(t) - t2)))((txfn where f C(R, R), f is increasingand zf (z) > 0 if z 0, when the equation satisfies initial condition x(x ) =h (h < 0). The behavior,existence and continuation of its solutions are studied. It is concluded that there exist solutions of the equation across any (x , h ) (h < 0).