Authors: | Stević, Stevo | Title: | Two-dimensional solvable system of difference equations with periodic coefficients | Journal: | Mathematical Methods in the Applied Sciences | Volume: | 42 | Issue: | 18 | First page: | 6757 | Last page: | 6774 | Issue Date: | 1-Dec-2019 | Rank: | M21 | ISSN: | 0170-4214 | DOI: | 10.1002/mma.5780 | Abstract: | We show that the following two-dimensional system of difference equations: (Formula presented.) where (Formula presented.), (Formula presented.), (Formula presented.), and (Formula presented.) are periodic sequences, is solvable, considerably extending some results in the literature. In the case when all these four sequences are periodic with period 2 or with period 3, we present closed-form formulas for the general solutions to the corresponding systems of difference equations. Some comments regarding theoretical and practical solvability of the system, connected to the value of the period of the sequences, are given. |
Keywords: | closed-form formula | solvable system | system of difference equations | system with periodic coefficients | Publisher: | Wiley |
Show full item record
SCOPUSTM
Citations
3
checked on Sep 8, 2024
Page view(s)
3
checked on Sep 7, 2024
Google ScholarTM
Check
Altmetric
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.