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