ON THE DISTRIBUTION OF EIGENVALUES FOR AN NTH-ORDER EQUATION.

Abstract

The asymptotic behavior is discussed of the eigenvalues associated with a 2 nth order differential equation, (X < or = 0) and n homogeneous linear boundary conditions at x = 0. Work of Turrittin is used on the Stokes multipliers for asymptotic solutions of the differential equation. At the same time, it is shown how, at least in the case n = 2, this detailed work can be avoided, giving hope for extending these results to more general differential equations.

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1965
Accession Number
AD0620109

Entities

People

  • J. B. Mcleod

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Differential Equations
  • Eigenvalues
  • Equations
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis