KIAM Main page Web Library  •  Publication Searh  Русский 

KIAM Preprint № 24, Moscow, 2014
Authors: Goryuchkina I. V.
On convergence of generalized power series that is the formal solution of algebraic ODE
In preprint of Keldysh Institute of Applied Mathematic of RAS (No. 65, 2013) Goryuchkina I.V. proposed the sketch of the proof of the theorem on sufficient condition of convergence near zero of generalized power series, that formally satisfies to algebraic (polynomial) ordinary differential equation. At that there considers the case that the set of power exponents of this generalized power series has only one nonrational generatrix. Here we give analytic proof of this theorem in details.
Convergence, algebraic ODEs, formal solutions, analytic theory of ODEs
Publication language: russian,  pages: 16
Research direction:
Mathematical problems and theory of numerical methods
Russian source text:
List of publications citation:
Export link to publication in format:   RIS    BibTeX
View statistics (updated once a day)
over the last 30 days — 2 (+2), total hit from 01.09.2019 — 30
About authors:
  • Goryuchkina I. V.,  KIAM RAS