Accession Number : AD0709733

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

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Casti,J. ; Kalaba,R. ; Ueno,S.

Report Date : FEB 1970

Pagination or Media Count : 23

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)

Descriptors :   (*INTEGRAL EQUATIONS, TRANSFORMATIONS(MATHEMATICS)), (*CAUCHY PROBLEM, NUMERICAL INTEGRATION), NUMERICAL ANALYSIS, NONLINEAR SYSTEMS, THERMAL RADIATION

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE