
Accession Number : AD0668759
Title : INVARIANT IMBEDDING AND FREDHOLM INTEGRAL EQUATIONS WITH PINCHERLEGOURSAT 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 PincherleGoursat (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 initialvalue 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