Accession Number : AD0668759

Title :   INVARIANT IMBEDDING AND FREDHOLM INTEGRAL EQUATIONS WITH PINCHERLE-GOURSAT KERNELS,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Kagiwada,H. H. ; Kalaba,R. E. ; Ueno,S.

Report Date : APR 1968

Pagination or Media Count : 20

Abstract : An analytical procedure for solving Fredholm integral equations of the second kind with Pincherle-Goursat (degenerate) kernels is discussed. In the invariant imbedding approach used, the solution at a fixed value of t is studied as the length of the interval is varied. A Cauchy problem is derived, and it is verified that the initial-value method produces a solution of the integral equation. Such a procedure should prove a valuable alternative to the usual algebraic method, and should find application in signal detection, gas dynamics, radiative transfer, and mathematical biology. (Author)

Descriptors :   (*INTEGRAL EQUATIONS, PROBLEM SOLVING), BOUNDARY VALUE PROBLEMS, CAUCHY PROBLEM, DIFFERENTIAL EQUATIONS, INFORMATION THEORY, FLUID MECHANICS, THERMAL RADIATION, BIOLOGY

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE