Integral Equations with Difference Kernels on Finite Intervals

摘要

In this Memorandum the author presents a technique for the solution of certain integral equations, on a finite interval of the real line, that arise in the theories of neutron transport, radiative transfer, gas dynamics, and electromagnetic wave refraction. The kernels in the equations studied are functions of the difference of the arguments and involve an exponential factor. Existence, uniqueness, and computational aspects are considered. (Author)