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- Title
Resolving sequences of operators for linear ordinary differential and difference systems of arbitrary order.
- Authors
Abramov, S.; Petkovšek, M.; Ryabenko, A.
- Abstract
We introduce the notion of a resolving sequence of (scalar) operators for a given differential or difference system with coefficients in some differential or difference field K. We propose an algorithm to construct, such a sequence, and give some examples of the use of this sequence as a suitable auxiliary tool for finding certain kinds of solutions of differential and difference systems of arbitrary order. Some experiments with our implementation of the algorithm are reported.
- Subjects
ORDINARY differential equations; DIFFERENTIAL operators; ALGORITHMS; VECTORS (Calculus); EXTERIOR differential systems
- Publication
Computational Mathematics & Mathematical Physics, 2016, Vol 56, Issue 5, p894
- ISSN
0965-5425
- Publication type
Article
- DOI
10.1134/S096554251605002X