On the Iterated wave Equation. Ia 1)1)This research was supported in part by the United States Air Force under Contract No. AFI8(600)573—monitored by the Office of Scientific Research, Air Research and Development Command. Most of the material was contained in a thesis submitted to the University of Maryland in partial fulfillment for the degree of Master of Arts and published by the Institute for Fluid Dynamics and Applied Mathematics as Technical Note BN-73, May, 1956.