It is possible to prove by Laplace transform analysis that (1.1) has a unique solution R(t) satisfying the foregoing conditions. However, this approach is not very useful for numerical purposes. We shall present a practical and efficient method of approximate solution. The successive approximations are piecewise linear. They converge to R(t) uniformly for 0 ? t < cc. The analysis is made both more difficult and more interesting by the facts that the equationi is homogeneous and is defined on an infinite interval, and the kernel is singular. The approximation method yields the existence of R (t) and some qualitative information as