About some equations of the third order with six poles
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CHICHURIN, Alexandr. About some equations of the third order with six poles. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2003, nr. 2(42), pp. 59-68. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 2(42) / 2003 / ISSN 1024-7696 /ISSNe 2587-4322

About some equations of the third order with six poles

Pag. 59-68

Chichurin Alexandr
 
I.C.S. „Mobiteam“
 
 
Disponibil în IBN: 6 decembrie 2013


Rezumat

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.

Cuvinte-cheie
nonlinear differential equation of the third order, Painleve property (P-type), Chazy system, Chazy equations of the P-type.