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Title of Article

ON A CLASS OF CUBIC SYSTEMS OF DIFFERENTIAL EQUATIONS WITH A SINGULAR INTEGRATING MULTIPLIER


Issue
1
Date
2009

Section
MATHEMATICS

Article type
scientific article
UDC
517.92
Pages
94-98
Keywords
dynamic systems, integrating multiplier, boundary cycles


Authors
Alekseev A.A.
Nizhegorodskiy gosuniversitet im. N.I. Lobachevskogo


Abstract
We prove the existence of cubic systems of differential equations admitting a special integrating multiplier which is singular along the second-order curve. The type of the curve can vary with the change of the parameters in the systems right parts.

File (in Russian)