On the factorisation of linear ordinary differential operators

After reviewing the arithmetic of linear ordinary differential operators, we describe the current status of the factorisation algorithm, specially with respect to factoring over non-algebraically closed constant fields. We also describe recent results from Singer and Ulmer (1993) that reduce determining the differential Galois group of an operator to factoring.

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Year of publication:	1996
Authors:	Bronstein, Manuel
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 42.1996, 4, p. 387-389
Publisher:	Elsevier
Subject:	Differential equations \| Operators \| Factorisation \| Liouvillian solutions

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010749917