Two-dimensional product-type systems of difference equations of delay-type (2,2,1,2)

We prove that the following class of systems of difference equations is solvable in closed form: $$ z_{n+1}=\alpha z_{n-1}^aw_n^b,\quad w_{n+1}=\beta w_{n-1}^cz_{n-1}^d,\quad n\in\mathbb{N}_0, $$ where $a, b, c, d\in\mathbb{Z}$, $\alpha, \beta, z_{-1}, z_0, w_{-1}, w_0\in\mathbb{C}\setminus\...

Full description

Bibliographic Details
Main Author: Stevo Stevic
Format: Article
Language:English
Published: Texas State University 2017-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2017/153/abstr.html