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