| Title: |
On solvability of a two-dimensional symmetric nonlinear system of difference equations. |
| Authors: |
Stević, Stevo1,2 (AUTHOR) sscite1@gmail.com, Iričanin, Bratislav3,4 (AUTHOR), Kosmala, Witold5 (AUTHOR), Šmarda, Zdeněk6 (AUTHOR) |
| Source: |
Journal of Inequalities & Applications. 8/27/2024, Vol. 2024 Issue 1, p1-17. 17p. |
| Subject Terms: |
*NONLINEAR difference equations, *NONLINEAR equations, *DIFFERENCE equations |
| Abstract: |
We show that the system of difference equations x n + k = x n + l y n − e f x n + l + y n − e − f , y n + k = y n + l x n − e f y n + l + x n − e − f , n ∈ N 0 , where k ∈ N , l ∈ N 0 , l < k , e , f ∈ C , and x j , y j ∈ C , j = 0 , k − 1 ‾ , is theoretically solvable and present some cases of the system when the general solutions can be found in a closed form. [ABSTRACT FROM AUTHOR] |
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