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Acta Mathematica Vietnamica

ON THE RATIONAL RECURSIVE TWO SEQUENCES xn+1=axnk+bxnk/(cxn+δdxnk)

E. M. E. ZAYED, M. A. EL-MONEAM

Abstract

The main objective of this paper is to study some qualitative behavior of the solutions of the two difference equations xn+1=axnk+bxnk/(cxn+δdxnk),  n=0,1,2,, where the initial conditions xk,,x1,x0 are arbitrary positive real numbers and the coefficients a,b,c and d are positive constants, while k is a positive integer number and σ=±1. Some numerical examples are given to illustrate our results.