Titlebook: New Trends in Nonlinear Control Theory; Proceedings of an In J. Descusse,Michel Fliess,D. Leborgne Conference proceedings 1989 Springer-Ver

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A short introduction to differential Galois theory,, [Be1], [Sin1]). One problem with the classical theory is the difficulty of explicit calculations : from the birth of our subject (late 19th century) until to very recent work ([Kat4], [KP], [B.B.H], [B.H], [Ra5], [Ra8], [DM]) the only explicit computations we know are for Airy equation [Kap], and

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A short introduction to differential Galois theory,2], [BJL1], [BJL2], [J], [BV1], [BV2], [Ra7], [Ra2], for the linear case, and [M.R.1], [M.R2], [MR3], [E3] for the non linear case), and with a new theory of . ([Ra1], [Ra2], [Ra4], [Ra7], [RS1], [MR1], [E1], [E2] [E3], [E4], [EMMR1], [EMMR2], [MR4]). Using this description it is in particular possi

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