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2021 On Log-growth of Solutions of $p$-adic Differential Equations at a Logarithmic Singular Point
Takahiro NAKAGAWA
Tokyo J. Math. Advance Publication 1-14 (2021). DOI: 10.3836/tjm/1502179336

Abstract

We consider a differential system $x\frac{d}{dx} Y=GY$ where $G(0)$ is a nilpotent matrix. Then there exists a solution matrix of the form $Y=F \exp(G(0)\log x)$. If a solution matrix at a generic point is of log-growth $\delta$, then we prove that $F$ is of log-growth $\delta$.

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Takahiro NAKAGAWA. "On Log-growth of Solutions of $p$-adic Differential Equations at a Logarithmic Singular Point." Tokyo J. Math. Advance Publication 1 - 14, 2021. https://doi.org/10.3836/tjm/1502179336

Information

Published: 2021
First available in Project Euclid: 11 December 2020

Digital Object Identifier: 10.3836/tjm/1502179336

Subjects:
Primary: 12H25

Rights: Copyright © 2021 Publication Committee for the Tokyo Journal of Mathematics

JOURNAL ARTICLE
14 PAGES

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