
Accession Number : AD0650530
Title : AN ANALYSIS OF APPROXIMATIVE METHODS FOR FREDHOLM'S INTEGRAL EQUATION OF THE FIRST KIND.
Descriptive Note : Research and Development rept.,
Corporate Author : DAVID TAYLOR MODEL BASIN WASHINGTON D C
Personal Author(s) : McKelvey,Robert W.
Report Date : DEC 1956
Pagination or Media Count : 23
Abstract : The paper considers the Fredholm I equation, f(x) = integral range R K(x,s)phi(s)ds, where the integral is understood in the sense of Lebesgue. All functions are real; the range of integration R may be finite or infinite. It is assumed that the 'kernel' K(x,s) has no strong singularities and that when the range is infinite, K(x,s) diminished rapidly at infinity.
Descriptors : (*INTEGRAL EQUATIONS, *APPROXIMATION(MATHEMATICS)), DETERMINANTS(MATHEMATICS), CONVERGENCE, FUNCTIONS(MATHEMATICS), INTEGRAL TRANSFORMS, ITERATIONS, SERIES(MATHEMATICS), PERTURBATION THEORY, NUMERICAL ANALYSIS
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE