Author:
Gontsov R. R.,Goryuchkina I. V.
Abstract
Abstract
A sufficient condition is proposed which ensures that a Dulac series that formally satisfies an algebraic ordinary differential equation (ODE) is convergent. Such formal solutions of algebraic ODEs are quite common: in particular, the Painlevé III, V and VI equations have formal solutions given by Dulac series; they are convergent in view of the sufficient condition presented.
Bibliography: 13 titles.
Funder
Russian Foundation for Basic Research
Russian Science Foundation
Russian Academy of Sciences - Federal Agency for Scientific Organizations
Subject
Algebra and Number Theory
Cited by
3 articles.
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