A CAUCHY SYSTEM FOR A CLASS OF NONLINEAR FREDHOLM INTEGRAL EQUATIONS,

Abstract

The report discusses the derivation of a Cauchy system whose numerical solution is equivalent to that of a nonlinear integral equation. The memorandum treats a nonlinear integral equation of Hammerstein type which arises in problems of mathematical physics and biology. A Cauchy problem is derived for the solution of the equation and a proof is given to show that the solution of the Cauchy problem does satisfy the original equation. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1970
Accession Number
AD0709733

Entities

People

  • J. Casti
  • Robert E. Kalaba
  • S. Ueno

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Cauchy Problem
  • Equations
  • Integral Equations
  • Integrals
  • Mathematical Analysis
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Linear Algebra
  • Technical Research and Report Writing.