AN ANALYSIS OF APPROXIMATIVE METHODS FOR FREDHOLM'S INTEGRAL EQUATION OF THE FIRST KIND.

Abstract

The paper considers the Fredholm I equation, f(x) = integral range R K(x,s)phi(s)ds, where the integral is understood in the sense of Lebesgue. All functions are real; the range of integration R may be finite or infinite. It is assumed that the 'kernel' K(x,s) has no strong singularities and that when the range is infinite, K(x,s) diminished rapidly at infinity.

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1956
Accession Number
AD0650530

Entities

People

  • Robert W. Mckelvey

Tags

DTIC Thesaurus Topics

  • Equations
  • Integral Equations
  • Integrals

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis