二元奇异线性微分方程

Pub Date : 2008-12-01 DOI:10.1619/FESI.51.459

B. Braaksma, M. Put

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引用次数: 2

摘要

R. Gerard和Y. Sibuya等人研究了可积奇异线性微分方程的形式和解析分类。我们对他们的主要结果提供了一个简单的证明，即:对于某些具有两个变量的不规则系统，不存在Stokes现象，即形式分类与解析分类之间没有区别。

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Singular Linear Differential Equations in Two Variables

The formal and analytic classification of integrable singular linear differential equations has been studied among others by R. Gerard and Y. Sibuya. We provide a simple proof of their main result, namely: For certain irregular systems in two variables there is no Stokes phenomenon, i.e. there is no difference between the formal and the analytic classification.

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