Analytic Simplification of a System of Ordinary Differential Equations at an Irregular-Type Singularity.
NAVAL RESEARCH LAB WASHINGTON D C MATHEMATICS RESEARCH CENTER
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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
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