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On globally nilpotent differential equations

Title data

Dettweiler, Michael ; Reiter, Stefan:
On globally nilpotent differential equations.
In: Journal of Differential Equations. Vol. 248 (2010) Issue 11 . - pp. 2736-2745.
ISSN 1090-2732
DOI: https://doi.org/10.1016/j.jde.2010.02.009

Review:

Official URL: Volltext

Abstract in another language

In a previous work of the authors, a middle convolution operation on the category of Fuchsian differential systems was introduced. In this note we show that the middle convolution of Fuchsian systems preserves the property of global nilpotence.

This leads to a globally nilpotent Fuchsian system of rank two which does not belong to the known classes of globally nilpotent rank two systems.

Further data

Item Type: Article in a journal
Refereed: Yes
Institutions of the University: Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics IV (Number Theory)
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics IV (Number Theory) > Chair Mathematics IV (Number Theorie) - Univ.-Prof. Dr. Michael Dettweiler
Result of work at the UBT: No
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 05 May 2023 09:25
Last Modified: 05 May 2023 09:25
URI: https://eref.uni-bayreuth.de/id/eprint/75280