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Title of Article

ON LINEAR PARTICULAR INTEGRALS OF POLYNOMIAL VECTOR FIELDS OF FOURTH DEGREE WITH DEGENERATE INFINITY. III


Issue
2
Date
2011

Section
MATHEMATICS

Article type
scientific article
UDC
517.925
Pages
123-129
Keywords
polynomial vector fields, algebraic differential equations, particular integrals, invariant sets, degener-ate 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 fourth degree with degenerate infinity has no more than nine linear particular integrals, including those with complex coefficients.

File (in Russian)