Email this article Resolving sequences of operators for linear ordinary differential and difference systems of arbitrary order
- Authors: Petkovšek M.1, Ryabenko A.A.2, Abramov S.A.2
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Affiliations:
- University of Ljubljana
- Federal Research Center “Computer Science and Control”
- Issue: Vol 56, No 5 (2016)
- Pages: 894-910
- Section: Article
- URL: https://journals.rcsi.science/0965-5425/article/view/178460
- DOI: https://doi.org/10.1134/S096554251605002X
- ID: 178460
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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.
About the authors
M. Petkovšek
University of Ljubljana
Author for correspondence.
Email: Marko.Petkovsek@fmf.uni-lj.si
Slovenia, Jadranska 19, Ljubljana, SI-1000
A. A. Ryabenko
Federal Research Center “Computer Science and Control”
Author for correspondence.
Email: anna.ryabenko@gmail.com
Russian Federation, ul. Vavilova 40, Moscow, 119333
S. A. Abramov
Federal Research Center “Computer Science and Control”
Author for correspondence.
Email: sergeyabramov@mail.ru
Russian Federation, ul. Vavilova 40, Moscow, 119333
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