Geodesic
On a class of systems of second order differential equations without mobile critical features
Problemy fiziki, matematiki i tehniki, no. 4 (2018), pp. 62-65.

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Necessary and sufficient conditions for the system under investigation to belong to the Painlevé type system are obtained.
Keywords: system of the ordinary differential equations, movable critical singularities, method of small parameter.
Mots-clés : Painlevé property 
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T. N. Vankova; L. V. Detchenya; V. M. Petsevich; A. O. Seliverstova. On a class of systems of second order differential equations without mobile critical features. Problemy fiziki, matematiki i tehniki, no. 4 (2018), pp. 62-65. http://geodesic.mathdoc.fr/item/PFMT_2018_4_a10/

[1] V.M. Petsevich, V.A. Pronko, “Neobkhodimye usloviya nalichiya svoistva Penleve u sistemy dvukh differentsialnykh uravnenii vtoroi stepeni”, Problemy fiziki, matematiki i tekhniki, 2018, no. 2 (35), 69–75

[2] F. Bureau, “Equations differentielles du second ordre en $Y$ et du second degre en $\ddot{Y}$ dont l'integrale generale est a points critiques fixes”, Ann. di Math., 91 (1972), 163–281 | MR | Zbl

[3] C.M. Cosgrove, G. Scoufis, “Painleve classification of a class of differential equations of the second order and second degree”, Stud. Appl. Math., 88 (1993), 25–87 | DOI | MR | Zbl

[4] E.L. Ains, Obyknovennye differentsialnye uravneniya, GNTIU, Kharkov, 1939, 719 pp.