ASYMPTOTIC DISTRIBUTIONS AND SOME INTEGRAL EQUATIONS.

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)

Document Details

Document Type
Technical Report
Publication Date
Oct 02, 1969
Accession Number
AD0699141

Entities

People

  • Stuart Lee Brodsky

Organizations

  • Naval Ordnance Laboratory

Tags

DTIC Thesaurus Topics

  • Asymptotic Series
  • Convolution
  • Equations
  • Integral Equations
  • Integrals
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis