Authors: | Stević, Stevo Tollu, Durhasan Turgut |
Affiliations: | Mathematics Mathematical Institute of the Serbian Academy of Sciences and Arts |
Title: | On a two-dimensional nonlinear system of difference equations close to the bilinear system |
Journal: | AIMS Mathematics |
Volume: | 8 |
Issue: | 9 |
First page: | 20561 |
Last page: | 20575 |
Issue Date: | 2023 |
Rank: | ~M21a |
ISSN: | 2473-6988 |
DOI: | 10.3934/math.20231048 |
Abstract: | We consider the two-dimensional nonlinear system of difference equations xn = xn−k ayn−l + byn−(k+l) cyn−l + dyn−(k+l), yn = yn−k αxn−l + βxn−(k+l) γxn−l + δxn−(k+l), for n ∈ N0, where the delays k and l are two natural numbers, and the initial values x−j, y−j, 1 ≤ j ≤ k+l, and the parameters a, b, c, d, α, β, γ, δ are real numbers. We show that the system of difference equations is solvable by pr... |
Keywords: | closed-form formula | nonlinear system of difference equations | solvable system |
Publisher: | AIMS Press |
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