Главная страница
russian   english
16+
<< back

Title of Article

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


Issue
1
Date
2011

Section
MATHEMATICS

Article type
scientific article
UDC
517.925
Pages
139-148
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
A polynomial vector field of fourth degree with degenerate infinity is proved to have no more than nine linear particular integrals including those with complex coefficients.

File (in Russian)