INTEGRAL EQUATIONS WITH DIFFERENCE KERNELS OF FINITE INTERVALS-II: RESOLVENT KERNELS,

Abstract

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)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1964
Accession Number
AD0604460

Entities

People

  • A. Léonard
  • T. W. Mullikin

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Dynamics
  • Equations
  • Gas Dynamics
  • Integral Equations
  • Integrals
  • Intervals
  • Mathematics
  • Radiative Transfer
  • Transport Ships

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis