Prolongability of Ordinary Differential Equations

被引：0
|
作者：
Yoshishige Haraoka
机构：
[1] Kumamoto University,Department of Mathematics
来源：
Journal of Nonlinear Mathematical Physics | 2013年 / 20卷
关键词：
Accessory parameter; Pfaffian system; middle convolution; restriction; index of rigidity; 32G34; 58A17;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We extend the notion of deformation to inverse operations of restrictions of completely integrable systems to regular or singular locus, and call the extended notion prolongation. We show that a prolongability determines uniquely a Fuchsian ordinary differential equation of rank three with three regular singular points. This seems similar to that the deformation equation determines the accessory parameters as a function of the geometric moduli. Relations between prolongations and middle convolutions is also studied.
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页码：70 / 84
页数：14
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