ON LINEAR SYSTEMS OF DIFFERENTIAL EQUATIONS WITH A REGULAR SINGULAR POINT.

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Abstract:

The note is concerned with the linear system of differential equations dwdz Az w where Az 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

Author(s):
Harris, W. A., Jr
Author Organization(s):
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Descriptive Note:
Technical summary rept.,
Pagination:
0010

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
MRC-TSR-931
Contract/Grant Number(s):
DA-31-124-ARO(D)-462
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
(*DIFFERENTIAL EQUATIONS, *COMPLEX VARIABLES), MEROMORPHIC FUNCTIONS, MATRICES(MATHEMATICS), LINEAR SYSTEMS, THEOREMS
Field(s)/Group(s):
Theoretical Mathematics
Keyword(s):
HOLOMORPHIC FUNCTIONS
Report Date:
1968 Aug 01