Commuting linear differential expressions
- 1 January 1981
- journal article
- research article
- Published by Cambridge University Press (CUP) in Proceedings of the Royal Society of Edinburgh: Section A Mathematics
- Vol. 87 (3-4) , 331-347
- https://doi.org/10.1017/s0308210500015250
Abstract
We consider the question: When do two ordinary linear differential expressions commute? It turns out that the set of all expressions which commute with a given one form a commutative ring. Here we study the algebraic structure of these rings. As an application a complete characterization of normal differential expressions is obtained.Keywords
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