On the convergence of formal power-log series solutions of an algebraic ODE
Classical Analysis and ODEs
2021-11-16 v1
Abstract
We propose a sufficient condition of the convergence of a power-log series that formally satisfies an algebraic ordinary differential equation (ODE) of arbitrary order. A general form and properties of the functional coefficients of such a series are established.
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Cite
@article{arxiv.2111.07159,
title = {On the convergence of formal power-log series solutions of an algebraic ODE},
author = {Renat Gontsov and Irina Goryuchkina},
journal= {arXiv preprint arXiv:2111.07159},
year = {2021}
}
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16 pages