Geodesic
On a cross system of two differential equations
Problemy fiziki, matematiki i tehniki, no. 3 (2013), pp. 79-83

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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. 
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     title = {On a cross system of two differential equations},
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I. P. Martynov; O. N. Parmanchuk; V. M. Pecevich. On a cross system of two differential equations. Problemy fiziki, matematiki i tehniki, no. 3 (2013), pp. 79-83. http://geodesic.mathdoc.fr/item/PFMT_2013_3_a12/