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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2013, Issue 3(16), Pages 79–83 (Mi pfmt257)  
MATHEMATICS

On a cross system of two differential equations

I. P. Martynova, O. N. Parmanchukb, V. M. Pecevicha

a Y. Kupala Grodno State University, Grodno
b Grodno State Agrarian University, Grodno
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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.
Received: 03.06.2013
Document Type: Article
UDC: 517.925
Language: Russian
Citation: I. P. Martynov, O. N. Parmanchuk, V. M. Pecevich, “On a cross system of two differential equations”, PFMT, 2013, no. 3(16), 79–83
Citation in format AMSBIB
\Bibitem{MarParPec13}
\by I.~P.~Martynov, O.~N.~Parmanchuk, V.~M.~Pecevich
\paper On a cross system of two differential equations
\jour PFMT
\yr 2013
\issue 3(16)
\pages 79--83
\mathnet{http://mi.mathnet.ru/pfmt257}
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