On the convergence of generalized power series satisfying an algebraic ODE
Classical Analysis and ODEs
2015-12-18 v1
Abstract
We propose a sufficient condition of the convergence of a generalized power series formally satisfying an algebraic (polynomial) ordinary differential equation. The proof is based on the majorant method.
Keywords
Cite
@article{arxiv.1407.1330,
title = {On the convergence of generalized power series satisfying an algebraic ODE},
author = {Renat Gontsov and Irina Goryuchkina},
journal= {arXiv preprint arXiv:1407.1330},
year = {2015}
}
Comments
10 pages