On the global asymptotic stability of a system of difference equations with quadratic terms

Abstract

In this paper, we study the global asymptotic stability of following system of difference equations with quadratic terms: x(n+1) = A + B y(n)/y(n-1)(2), y(n+1) = A + B x(n)/x(n-1)(2) where A and B are positive numbers and the initial values are positive numbers. We also investigate the rate of convergence and oscillation behaviour of the solutions of related system.