Integral Equations with Difference Kernels of Finite Intervals-II: Resolvent Kernels

摘要

In this memorandum the authors present 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, and linearized gas dynamics. The kernels in the equations studied are functions of the difference of the arguments and involve an exponential factor. By the methods of singular integral equations, the result for the resolvent kernel is obtained in the form of simple quadratures and rapidly convergent Fredholmequations. (Author)