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arXiv · 2111.07159

On the convergence of formal power-log series solutions of an algebraic ODE

Renat Gontsov·Irina Goryuchkina
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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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Renat Gontsov, Irina Goryuchkina. 2021-11-13. On the convergence of formal power-log series solutions of an algebraic ODE. https://arxiv.org/abs/2111.07159

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