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) : Jurkat,W. B. ; Lutz,D. A.

Report Date : APR 1970

Pagination or Media Count : 37

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)

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

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE