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Formal Reduction of Integrable Linear Connexion having a certain kind of Irregulär Singularities by H. Charrière; R. Gérard is a Mathematics article available to read on EtoBox.

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In this paper we are giving the complete formal theory of completely integrable Pfafiian systems of the form 1) ax, = X,(X"X2, ...,X")Z In particular, (seeTheorem 1 of § 2) we are proving that after finite extensions of the form Xi = tf' (a, positive integer) and linear transformations, one can put the system (1) in the form ## 1') where for all i dt, We have also some important "partial" results (Theorem 2 § 2). But the most important result for applications is Theorem 3 (see § 2), which is very usefull for the C study of non linear C" completely integrable Pfaffian systems of the form i = l,2,.. ,,n and also for the asymptotic theory of such systems. AJVIS. clasBiTication 35-XX

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Author

H. Charrière; R. Gérard

Publisher

Walter de Gruyter GmbH

Published

1981

Field

Mathematics (Physical Sciences)