Resolving sequences of operators for linear ordinary differential and difference systems of arbitrary order
- Авторы: Petkovšek M.1, Ryabenko A.A.2, Abramov S.A.2
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Учреждения:
- University of Ljubljana
- Federal Research Center “Computer Science and Control”
- Выпуск: Том 56, № 5 (2016)
- Страницы: 894-910
- Раздел: Article
- URL: https://journals.rcsi.science/0965-5425/article/view/178460
- DOI: https://doi.org/10.1134/S096554251605002X
- ID: 178460
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Аннотация
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.
Об авторах
M. Petkovšek
University of Ljubljana
Автор, ответственный за переписку.
Email: Marko.Petkovsek@fmf.uni-lj.si
Словения, Jadranska 19, Ljubljana, SI-1000
A. Ryabenko
Federal Research Center “Computer Science and Control”
Автор, ответственный за переписку.
Email: anna.ryabenko@gmail.com
Россия, ul. Vavilova 40, Moscow, 119333
S. Abramov
Federal Research Center “Computer Science and Control”
Автор, ответственный за переписку.
Email: sergeyabramov@mail.ru
Россия, ul. Vavilova 40, Moscow, 119333
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