Representation of solutions of a two-dimensional system of difference equations

Abstract

In this paper we give a representation formula for the general solution to the following two-dimensional system of difference equations x n+1 = y n−1 x n−2 y n (a + by n−1 x n−2) , y n+1 = x n−1 y n−2 x n (a + bx n−1 y n−2) , n ∈ N 0 where parameters a, b and initial values x −2 , x −1 , x 0 , y −2 , y −1 , y 0 are real numbers. We also give some theoretical explanations related to the representation.

Design of Accurate Association System of QR Code Information for Cigarette Sorting

“…Figure 4 is the flowchart of the image acquisition system. e image acquisition system collects the QR code image on one side of the express through image processing and manipulator control [16,17].…”

Exact Solutions of System of Fourth-Order Difference Equations

“…In addition, Halim et al [20] obtained the solution of the following system difference equation (1.2)…”

On a solvable system of difference equations of sixth-order

“…Further, they investigated the asymptotic behavior and periodicity of solutions of system (1.5) for the case when all the sequences (a n ), (b n ), (α n ), (β n ) are constant. Also, Halim et al [18] gave a representation formula for the general solutions to the following two-dimensional system of difference equations…”