ON THE SYSTEMS OF RATIONAL DIFFERENCE EQUATIONS

Abstract

In this paper, we investigate the solutions of the system of rational difference equations x(n+1) = alpha y(n-2)/beta+rho y(n-2)x(n-1)y(n), y(n+1) = delta x(n-2)/zeta+eta x(n-2)y(n-1)x(n), z(n+1) = theta z(n-2)/lambda+mu y(n-2)x(n-1)y(n), where the parameters alpha, beta, rho, delta, zeta, eta, theta, lambda, mu and initial values x(-i), y(-i),z(-i), i is an element of {0,1, 2} are real numbers and where not both beta and rho, zeta and eta as well as lambda and mu. are equal to non-zero.