IMCS/Publications/BASM/Issues/BASM n.2 (42), 2003/

About some equations of the third order with six poles. (English)

Authors: A.V.Chichurin


Investigating ordinary differential equations of the third order on the subject of belonging to P-type (solutions of such equations have no movable critical singular points), Chazy has built an equation (Chazy equation) with 32 coefficients. If these coefficients satisfy the special (S)-system, then Chazy equation belongs to P-type. In this paper we find three solution of the (S)-system and build three classes of Chazy equation of the P-type.

Brest State University
Brest, Belarus


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