Geodesic
Painleve's property for differential system of the second order
Problemy fiziki, matematiki i tehniki, no. 1 (2016), pp. 48-51.

Voir la notice de l'article provenant de la source Math-Net.Ru

Necessary and sufficient conditions of the analysed system belonging to Painleve type are obtained.
Keywords: system of the ordinary differential equations, Painleve's property, method of small parameter, method of resonances, mobile critical special point. 
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V. M. Petsevich; D. N. Shauchenia. Painleve's property for differential system of the second order. Problemy fiziki, matematiki i tehniki, no. 1 (2016), pp. 48-51. http://geodesic.mathdoc.fr/item/PFMT_2016_1_a8/

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

[2] L. V. Detchenya, V. M. Petsevich, D. N. Shevchenya, “Ob odnoi sisteme dvukh differentsialnykh uravnenii vtoroi stepeni so spetsialnoi pravoi chastyu so svoistvom Penleve”, Vestnik GrGU im. Ya. Kupaly. Ser. 2, 2013, no. 3(159), 48–55

[3] V. M. Petsevich, D. N. Shevchenya, “Analiticheskie svoistva reshenii sistemy dvukh differentsialnykh uravnenii vtoroi stepeni otnositelno proizvodnoi”, Vesnik GrDU imya Yanki Kupaly. Ser. 2. Matematyka, 2015, no. 1(186), 35–40

[4] 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