Accession Number : AD0699141

Title :   ASYMPTOTIC DISTRIBUTIONS AND SOME INTEGRAL EQUATIONS.

Descriptive Note : Doctoral thesis,

Corporate Author : NAVAL ORDNANCE LAB WHITE OAK MD

Personal Author(s) : Brodsky,Stuart Lee

Report Date : 02 OCT 1969

Pagination or Media Count : 59

Abstract : The report describes a method for the asymptotic solution of integral equations of convolution type within the theory of distributions of Laurent Schwartz. A distributional theory of asymptotics is developed and an investigation is made of distributional convolution equations arising from integral equations with difference kernels. The results are combined to show how one can obtain asymptotic expansions for the solutions of some integral equations of this type. (Author)

Descriptors :   (*INTEGRAL EQUATIONS, ASYMPTOTIC SERIES), PARTIAL DIFFERENTIAL EQUATIONS, BOUNDARY VALUE PROBLEMS, DISTRIBUTION THEORY, INTEGRAL TRANSFORMS, THEOREMS, THESES

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE