Volume 20, Issue Supplement 1, November 2013, Pages 70 - 84
Prolongability of Ordinary Differential Equations
Authors
Yoshishige Haraoka
Department of Mathematics, Kumamoto University, Kumamoto 860-8555, Japan,haraoka@kumamoto-u.ac.jp
Received 31 August 2012, Accepted 28 May 2013, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2013.862435How to use a DOI?
- Keywords
- Accessory parameter; Pfaffian system; middle convolution; restriction; index of rigidity
- Abstract
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.
- Copyright
- © 2013 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Yoshishige Haraoka PY - 2021 DA - 2021/01/06 TI - Prolongability of Ordinary Differential Equations JO - Journal of Nonlinear Mathematical Physics SP - 70 EP - 84 VL - 20 IS - Supplement 1 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2013.862435 DO - 10.1080/14029251.2013.862435 ID - Haraoka2021 ER -