Accession Number : AD0713701

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

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Lutz,Donald A.

Report Date : DEC 1969

Pagination or Media Count : 26

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)

Descriptors :   (*DIFFERENTIAL EQUATIONS, NUMERICAL INTEGRATION), ANALYTIC FUNCTIONS, MEROMORPHIC FUNCTIONS, TRANSFORMATIONS(MATHEMATICS), MATRICES(MATHEMATICS), ASYMPTOTIC SERIES, LINEAR SYSTEMS, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE