A note on internality of certain differential systems
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914320032464896 |
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| author | Kumbhakar, Partha Srinivasan, Varadharaj Ravi |
| author_facet | Kumbhakar, Partha Srinivasan, Varadharaj Ravi |
| contents | 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 $f$ and $g$ are rational functions in one variable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_02439 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on internality of certain differential systems Kumbhakar, Partha Srinivasan, Varadharaj Ravi Classical Analysis and ODEs Commutative Algebra 12H05, 34M15, 03C45 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 $f$ and $g$ are rational functions in one variable. |
| title | A note on internality of certain differential systems |
| topic | Classical Analysis and ODEs Commutative Algebra 12H05, 34M15, 03C45 |
| url | https://arxiv.org/abs/2509.02439 |