V. M. Petsevich, V. A. Pronko, “Necessary conditions for the system of two second degree differential equations to have Painlevé property”, PFMT, 2018, Issue 2(35),Pages <nobr>69

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MATHEMATICS

Necessary conditions for the system of two second degree differential equations to have Painlevé property

V. M. Petsevich, V. A. Pronko

Y. Kupala Grodno State University

Abstract: Necessary conditions for the system in the title to be Painlevé type system were given.

Keywords: system of the ordinary differential equations, Painleve's property, movable critical singularities, method of small parameter.

UDC: 517.925

Received: 13.04.2018