Formal theory of irregular linear difference equations

1930/01/01 by George D. Birkhoff · 3 citations
Computer Science · Mathematics · #Polynomial and algebraic computation #Advanced Differential Equations and Dynamical Systems

paper · pdf · doi:10.1007/bf02547522

Abstract

this determinant. If we replace x by x--I in this relation, we obtain a like relation between yl(x), ... y,,(x). On solving for one of the dependent variables, say y,,(x), in-this relation, and elimination Of y,~(x)in the first n--I equations (I), we obtain a like equivalent system of order n--I.

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