GREEN'S TRANSFORMS AND SINGULAR BOUNDARY VALUE PROBLEMS,

Abstract

A class of identities was introduced in the theory of linear second order differential equations for which the name of Green's transforms was proposed. Such a transform serves to delimit in the complex plane the regions where a given solution can have zeros. But the transform can be used for other purposes than to obtain zero free regions. It was used to study integrability and growth properties of solutions. In the present paper the same technique is utilized in a study of the singular boundary problem of Hermann Weyl.

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1963
Accession Number
AD0611950

Entities

People

  • Einar Hille

Organizations

  • Yale University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Differential Equations
  • Equations
  • Identities
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Linear Algebra
  • Theoretical Analysis.