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arXiv · 1407.1330

On the convergence of generalized power series satisfying an algebraic ODE

Renat Gontsov·Irina Goryuchkina
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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.

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Renat Gontsov, Irina Goryuchkina. 2014-07-04. On the convergence of generalized power series satisfying an algebraic ODE. https://arxiv.org/abs/1407.1330

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