Evaluating the rational generating function for the solution of the Cauchy problem for a two-dimensional difference equation with constant coefficients
- Authors: Kytmanov A.A.1, Lyapin A.P.1,2, Sadykov T.M.3
-
Affiliations:
- Siberian Federal University
- Friedrich Schiller University
- Plekhanov Russian University of Economics
- Issue: Vol 43, No 2 (2017)
- Pages: 105-111
- Section: Article
- URL: https://journals.rcsi.science/0361-7688/article/view/176491
- DOI: https://doi.org/10.1134/S0361768817020074
- ID: 176491
Cite item
Abstract
We propose an algorithm for evaluation of rational generating functions for solutions of the Cauchy problems for two-dimensional difference equations with constant coefficients. The coefficients of onedimensional difference equations and the initial data are used to solve the corresponding Cauchy problems. The algorithm is implemented in the Maple computer algebra system.
About the authors
A. A. Kytmanov
Siberian Federal University
Author for correspondence.
Email: aakytm@gmail.com
Russian Federation, pr. Svobodnyi 79, Krasnoyarsk, 660041
A. P. Lyapin
Siberian Federal University; Friedrich Schiller University
Email: aakytm@gmail.com
Russian Federation, pr. Svobodnyi 79, Krasnoyarsk, 660041; Fürstengraben 1, Jena, 07743
T. M. Sadykov
Plekhanov Russian University of Economics
Email: aakytm@gmail.com
Russian Federation, per. Stremyannyi 36, Moscow, 125993