On a System of Second-Order Nonlinear Difference Equations

Abstract

This paper is concerned with dynamics of the solution to the system of two second-order nonlinear difference equations () 0, i y − ∈ ∞ , i = 0, 1. Moreover, the rate of convergence of a solution that converges to the equilibrium of the system is discussed. Finally, some numerical examples are considered to show the results obtained.

Analytical Study of a System of Dierence Equation

“…Bao [22] concerned with dynamics of the solution to the system of two second-order nonlinear difference equations…”

On the Stability of a System of Difference Equations Farida Belhannache

“…Figure(1) shows the behavior of the solutions of system(1) with the initial conditions x −1 = 2.73, x 0 = 0.47, y −1 = 0.15, y 0 = 1.18 and the parameters A = 3.2, B = 4.35, p = 1, q = 3.…”