I. P. Martynov, O. N. Parmanchuk, V. M. Pecevich, “On a cross system of two differential equations”, PFMT, 2013, Issue 3(16),Pages <nobr>79

MATHEMATICS

On a cross system of two differential equations

I. P. Martynov^a, O. N. Parmanchuk^b, V. M. Pecevich^a

^a Y. Kupala Grodno State University, Grodno
^b Grodno State Agrarian University, Grodno

Abstract: The article deals with the cross-system of the two differential equations of the second degree and fourth-degree derivative of the variables. The necessary and sufficient conditions for the Painlevé property for solutions of the system are found.

Keywords: system of the differential equations, property of Painleve, simplified differential equation.

UDC: 517.925

Received: 03.06.2013