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Title of Article

ON LINEAR PARTIAL INTEGRALS OF POLYNOMIAL VECTOR FIELDS OF THE FOURTH DEGREE WITH DEGENERATE INFINITY. I.


Issue
6
Date
2010

Section
MATHEMATICS

Article type
scientific article
UDC
517.925
Pages
132-137
Keywords
polynomial vector fields, algebraic differential equations, partial integrals, invariant sets, degenerate infinity


Authors
Dolov Mikhail Vasilevich
Nizhegorodskiy gosuniversitet im. N.I. Lobachevskogo

Chistyakova Svetlana Aleksandrovna
Nizhegorodskiy gosuniversitet im. N.I. Lobachevskogo


Abstract
It is proved that a polynomial vector field of the fourth degree with degenerate infinity has no more than nine linear partial integrals including those with complex coefficients.

File (in Russian)