ON THE BIRKHOFF-TURRITTIN TRUNCATION PROBLEM FOR SYSTEMS OF ORDINARY LINEAR DIFFERENTIAL EQUATIONS.

Abstract

The Birkhoff-Turrittin truncation problem consists of the application of a linear transformation to a system of linear ordinary differential equations at a singular point of pole type which has the effect of truncating the expansion of the new coefficient. The degree of truncation is not known in general. For the case of systems having a regular singular point, a bound on the degree of truncation is established which extends Turrittin's result of the case of a simple pole. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1969
Accession Number
AD0713701

Entities

People

  • Donald A. Lutz

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Differential Equations
  • Equations
  • Linear Differential Equations
  • Mathematical Analysis
  • Mathematics
  • Truncation

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis