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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2011, Issue 3(8), Pages 74–77 (Mi pfmt117)  
MATHEMATICS

On a cross system of two differential equations with the Painleve property

I. P. Martynov, O. N. Parmanchuk, V. M. Pecevich

Y. Kupala Grodno State University, Grodno
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Abstract: 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, singular solution, test of Painleve, resonances.
Received: 06.06.2011
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 with the Painleve property”, PFMT, 2011, no. 3(8), 74–77
Citation in format AMSBIB
\Bibitem{MarParPec11}
\by I.~P.~Martynov, O.~N.~Parmanchuk, V.~M.~Pecevich
\paper On a cross system of two differential equations with the Painleve property
\jour PFMT
\yr 2011
\issue 3(8)
\pages 74--77
\mathnet{http://mi.mathnet.ru/pfmt117}
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