Accession Number:

AD0713443

Title:

BIRKHOFF REDUCTION OF TWO-DIMENSIONAL LINEAR DIFFERENTIAL SYSTEMS AT A SINGULAR POINT.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1970-04-01

Pagination or Media Count:

37.0

Abstract:

Two-dimensional systems of linear differential equations are considered in a neighborhood of a pole of the coefficient matrix. A linear transformation is applied to the system which simplifies the expansion of the coefficient matrix which is then said to be in a modified Birkhoff canonical form. Solutions of the transformed system are equivalent to those of the original system in the sense that they display common singular behavior in a neighborhood of the pole. Some information about the solutions can be read directly from the canonical form. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE