A note on internality of certain differential systems
Classical Analysis and ODEs
2026-02-11 v2 Commutative Algebra
Abstract
We prove two results, generalizing certain theorems by Jin and Moosa, on the internality of the system of differential equations \begin{equation*} \begin{aligned} x' &= f(x)\\ y' &= g(x)y,\\ \end{aligned} \end{equation*}where and are rational functions in one variable.
Cite
@article{arxiv.2509.02439,
title = {A note on internality of certain differential systems},
author = {Partha Kumbhakar and Varadharaj Ravi Srinivasan},
journal= {arXiv preprint arXiv:2509.02439},
year = {2026}
}
Comments
6 pages. Revised version with minor corrections and additional references. Accepted for publication in Canadian Mathematical Bulletin