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An analytic proof of the Malgrange-Sibuya theorem on the convergence of formal solutions of an ODE by Gontsov, R. R.; Goryuchkina, I. V. is a scholarly article available to read on EtoBox.

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We propose an analytic proof of the Malgrange-Sibuya theorem concerning a sufficient condition of the convergence of a formal power series satisfying an ordinary differential equation. The proof is based on the majorant method and allows to estimate the radius of convergence of such a series.

Author

Gontsov, R. R.; Goryuchkina, I. V.

Published

2013

Language

EN