An Integral Representation for Eigenfunctions of Linear Ordinary Differential Operators.

Abstract

This paper generalizes an integral representation formula for eigenfunctions of Strum-Liouville operators, known as the Volterra transformation operator in the theory of the inverse scattering problem, to higher-order differential operators. A specific fourth-order initial value problem is considered whose solutions are expressed as an inverse-Laplace-Borel transform.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1978
Accession Number
ADA054543

Entities

People

  • W. Symes

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Algebra
  • Complex Numbers
  • Convex Sets
  • Differential Equations
  • Eigenvectors
  • Equations
  • Integral Equations
  • Integrals
  • Inverse Problems
  • Inverse Scattering
  • Linear Differential Equations
  • Mathematics
  • North Carolina
  • Numbers
  • Scattering
  • Theorems
  • United States

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Linear Algebra