On the factorization of differential modules. (English) Zbl 1096.13526
Wang, Dongming (ed.) et al., Differential equations with symbolic computation. Basel: Birkhäuser (ISBN 3-7643-7368-7/hbk). Trends in Mathematics, 239-254 (2005).
Summary: Differential modules are modules over rings of linear (partial) differential operators which are finite-dimensional vector spaces. We present a generalization of the Beke-Schlesinger algorithm that factors differential modules. The method requires solving only one set of associated equations for each degree \(d\) of a potential factor.
For the entire collection see [Zbl 1083.34002].
For the entire collection see [Zbl 1083.34002].
MSC:
| 13N10 | Commutative rings of differential operators and their modules |
| 16S32 | Rings of differential operators (associative algebraic aspects) |
