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

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE