Let X be a Banach Space and let A = B~ in which B is the infinitesimal generator of a strongly continuous group in X. For CY > 0, we construct solution representations of the iterated Cauchy problem in which the 4J E D(AP) for r 2 n. When CY = 2m + I , these initial conditions can be satisfied only if n -1 5 m. This corresponds to the exceptional Euler-Poisson-Darboux problem. The representations are obtained by using the method of associated equations and parametric differentiation and can be applied to the treatment of the iterated GASPT equation and associated function theory.