DIFFERENTIAL SYSTEMS FOR EIGENVALUES OF FREDHOLM INTEGRAL EQUATIONS,

Abstract

The practical computational solution of nonhomogeneous Fredholm integral equations is extended to the eigenvalue problem for homogeneous integral equations. The eigenvalues and eigenfunctions are viewed at a fixed point as functions of the interval length. A complete set of ordinary differential equations is derived for these and other related quantities. Analogous systems of equations are developed for displacement kernels and Green's functions. Certain problems concerning the initial conditions remain. Two methods to circumvent this obstacle are discussed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1967
Accession Number
AD0654281

Entities

People

  • Alan Schumitzky
  • Harriet Kagiwada
  • Robert E. Kalaba

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Displacement
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Integral Equations
  • Integrals
  • Intervals
  • Mathematical Analysis

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis