高阶Fucshian方程的局部Weyl等价性
On local Weyl equivalence of higher order Fucshian equations
摘要：
本文研究了Frobenius提出的“微分方程型“的各种改进下高阶Fuchsian线性微分方程的局部分类问题。困难的主要来源是这样一个事实，即没有自然的群作用产生这种分类。我们建立了一些结果，高阶方程是类似的，但不完全平行的一阶方程系统的局部（全纯和亚纯）规范等价的已知结果。
英文摘要：
We study the local classification of higher order Fuchsian linear differential equations under various refinements of the classical notion of the "type of differential equation" introduced by Frobenius. The main source of difficulties is the fact that there is no natural group action generating this classification. We establish a number of results on higher order equations which are similar but not completely parallel to the known results on local (holomorphic and meromorphic) gauge equivalence of systems of first order equations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
