Proof of the Basic Invariant Imbedding Method for Fredholm Integral Equations with Displacement Kernels. Ii

摘要

The report discusses a validation for the invariant imbedding method for the case of a general forcing term g in the Fredholm integral equation. The theorem developed here begins with the analytic results of AD-690 125 (in which the discussion is limited to the case when the forcing term g is an exponential function) and completes the formal validation for initial-value procedures by showing that the solution of a Cauchy problem satisfies the original functional equation. The analytical results of these two studies will be of computational interest in that they add to the feasibility and efficacy of the imbedding approach. (Author)