
Accession Number : AD0681480
Title : ON LINEAR SYSTEMS OF DIFFERENTIAL EQUATIONS WITH A REGULAR SINGULAR POINT.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Harris,W. A. , Jr
Report Date : AUG 1968
Pagination or Media Count : 10
Abstract : The note is concerned with the linear system of differential equations dw/dz = A(z) w where A(z) is meromorphic at z = 0. Necessary conditions for z = 0 to be a regular singular point are obtained in terms of order conditions for the symmetric functions of the matrix A. The order conditions are shown to be sharp by example and characterized for an important subclass of matrices. (Author)
Descriptors : (*DIFFERENTIAL EQUATIONS, *COMPLEX VARIABLES), MEROMORPHIC FUNCTIONS, MATRICES(MATHEMATICS), LINEAR SYSTEMS, THEOREMS
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE