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 $\delta$.
Citation
Takahiro NAKAGAWA. "On Log-growth of Solutions of $p$-adic Differential Equations at a Logarithmic Singular Point." Tokyo J. Math. 44 (2) 397 - 410, December 2021. https://doi.org/10.3836/tjm/1502179336
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