AI 中文总结
本文针对线性常微分方程的热带化提出开放问题，以开发计算其经典解收敛半径的方法，研究由Fink等2022年引入的有限差分热带基，初步考察二阶与三阶情况。
AI 中文摘要
我们针对线性常微分方程的热带化提出若干开放问题，主要旨在开发计算其经典解收敛半径的方法。为此，表征能拥有有限差分热带基的方程类至关重要，该概念由Fink与Toghani于2022年引入。我们的初步探索考察了二阶与三阶情况。
英文摘要
We formulate several open questions regarding the tropicalization of linear ODEs, aiming primarily to develop methods for calculating the radius of convergence of their classical solutions. To this aim it is of foremost importance to characterize the classes of equations that admit a finite differential tropical basis, as introduced in (Fink and Toghani, 2022). Our initial exploration examines the second- and third-order cases.
Comments14 pages, 2 figures. Comments welcome!
