On the factorisation of linear ordinary differential operators

Manuel Bronstein

Mathematics and Computers in Simulation (MATCOM), 1996, vol. 42, issue 4, 387-389

Abstract: 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.

Keywords: Differential equations; Operators; Factorisation; Liouvillian solutions (search for similar items in EconPapers)
Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:42:y:1996:i:4:p:387-389

DOI: 10.1016/S0378-4754(96)00013-4

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