Irregularity for Singular System of Ordinary Differential Equations in Complex Domain

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概要

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• An irregularity of an ordinary differential equation with an irregular singular point is defined by the maximal rate of exponential growth of all solutions of the associated homogeneous equation. We shall study first order singular systems of Poincaré rank p (≥ 0) and characterize its irregularity from two different viewpoints; the first one is from the order of zeros of coefficient matrices, and the second one is from the comparison of indices of the system on formal Gevrey spaces.

• 日本数学会函数方程式論分科会の論文

著者

• Ichinobe Kunio

  Kanagawa Institute of Technology

• Miyake Masatake

  Nagoya University

関連論文

• Newton Polygon and Gevrey Hierarchy in the Index Formulas for a Singular System of Ordinary Differential Equations
• Irregularity for Singular System of Ordinary Differential Equations in Complex Domain

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