Boundedness, Attractivity, and Stability of a Rational Difference Equation with Two Periodic Coefficients

Abstract

We study the boundedness, the attractivity, and the stability of the positive solutions of the rational difference equation xn+1=(pnxn−2+xn−3)/(qn+xn−3), n=0,1,…, where pn,qn, n=0,1,… are positive sequences of period 2.