# Accession Number:

## AD0726413

# Title:

## Analytic Simplification of a System of Ordinary Differential Equations at an Irregular-Type Singularity.

# Descriptive Note:

## Final rept.,

# Corporate Author:

## NAVAL RESEARCH LAB WASHINGTON D C MATHEMATICS RESEARCH CENTER

# Personal Author(s):

# Report Date:

## 1971-06-11

# Pagination or Media Count:

## 35.0

# Abstract:

Let l sub n u diag u sub 1, ..., u sub n for given complex u sub k. If Re u sub k or 0 1 or k or n, then the mn-system x to the power sigma 1 y Fx,zy,xz l sub nz is simplified to x to the power sigma 1Y Gx,ZY, xZ l sub n uZ by a transformation T defined as y Y Px,ZY,z Z in a sector having property T with respect to lambda sub i-lambda sub joxosigmax to the power sigmai, j 1, ..., s, i not equal to j, where lambda sub i i 1,2,...,s are distinct eigenvalues of F0,0 and Gx,Z is in block-diagonal form agreeing with the Jordan canonical form of F0,0. Author

# Descriptors:

# Subject Categories:

- Theoretical Mathematics