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Acta Mathematica Vietnamica

ON THE RATIONAL RECURSIVE SEQUENCE xn+1=Axn+Bxnk+1+xnxnkpxn+xnk

icon-email ELSAYED M. E. ZAYED

Abstract

In this article, we study the global stability and the asymptotic properties of the positive solutions of the nonlinear difference equation xn+1=Axn+Bxnk+1+xnxnkpxn+xnk,n=0,1,2, where the parameters A,B,p and the initial conditions xk,,x1,x0 are arbitrary positive real numbers, while k is a positive integer number. Some numerical examples will be given to illustrate our results.