Resolving sequences of operators for linear ordinary differential and difference systems of arbitrary order
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 5
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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.
@article{ZVMMF_2016_56_5_a14,
author = {S. A. Abramov and M. Petkov\v{s}ek and A. A. Ryabenko},
title = {Resolving sequences of operators for linear ordinary differential and difference systems of arbitrary order},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {909},
publisher = {mathdoc},
volume = {56},
number = {5},
year = {2016},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_5_a14/}
}
TY - JOUR AU - S. A. Abramov AU - M. Petkovšek AU - A. A. Ryabenko TI - Resolving sequences of operators for linear ordinary differential and difference systems of arbitrary order JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2016 SP - 909 VL - 56 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_5_a14/ LA - en ID - ZVMMF_2016_56_5_a14 ER -
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S. A. Abramov; M. Petkovšek; A. A. Ryabenko. Resolving sequences of operators for linear ordinary differential and difference systems of arbitrary order. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 5. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_5_a14/