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