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:

1956-12-01

Pagination or Media Count:

23.0

Abstract:

The paper considers the Fredholm I equation, fx integral range R Kx,sphisds, 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 Kx,s has no strong singularities and that when the range is infinite, Kx,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