APPLICATION OF INTEGRAL OPERATORS TO THE THEORY OF EQUATIONS OF MIXED TYPE

Abstract

Integral operators are applied to the theory of equations of mixed type which transform analytic functions into solutions of linear partial differential equations with analytic coefficients. The importance of integral operators is based on the fact that they not merely generate solutions of a particular linear partial differential equation but frequently they preserve various properties of the associates, i.e. analytic functions to which the operator is applied. This analysis generalizes Bergman's investigations of this type and at the same time simplifies his method.

Document Details

Document Type
Technical Report
Publication Date
Aug 28, 1961
Accession Number
AD0263352

Entities

People

  • Ranko Bojanic
  • Stefan Bergman

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Analytic Functions
  • Coefficients
  • Differential Equations
  • Equations
  • Integrals
  • Mathematical Analysis
  • Partial Differential Equations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis