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JOURNALS // Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics) // Archive

PFMT, 2018 Issue 4(37), Pages 62–65 (Mi pfmt605)

MATHEMATICS

On a class of systems of second order differential equations without mobile critical features

T. N. Vankova, L. V. Detchenya, V. M. Petsevich, A. O. Seliverstova

Y. Kupala Grodno State University

Abstract: Necessary and sufficient conditions for the system under investigation to belong to the Painlevé type system are obtained.

Keywords: system of the ordinary differential equations, Painlevé property, movable critical singularities, method of small parameter.

UDC: 517.925

Received: 15.06.2018



© Steklov Math. Inst. of RAS, 2024