
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