Geodesic
On a cross system of two differential equations with the Painleve property
Problemy fiziki, matematiki i tehniki, no. 3 (2011), pp. 74-77

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The article deals with the cross-system of two differential equations of the second degree and third-degree derivative of the variables. The necessary and sufficient conditions having the Painleve property for solutions of this system are obtained.
Keywords: cross system of differential equations, property of Painleve, test of Painleve, resonances.
Mots-clés : singular solution 
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     title = {On a cross system of two differential equations with the {Painleve} property},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {74--77},
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     number = {3},
     year = {2011},
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     url = {http://geodesic.mathdoc.fr/item/PFMT_2011_3_a11/}
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I. P. Martynov; O. N. Parmanchuk; V. M. Pecevich. On a cross system of two differential equations with the Painleve property. Problemy fiziki, matematiki i tehniki, no. 3 (2011), pp. 74-77. http://geodesic.mathdoc.fr/item/PFMT_2011_3_a11/