Discrete Dynamics in Nature and Society
Volume 2009 (2009), Article ID 973714, 23 pages
doi:10.1155/2009/973714

Boundedness, attractivity, and stability of a rational difference equation with two periodic coefficients

G. Papaschinopoulos , G. Stefanidou and C.J. Schinas

School of Engineering, Democritus University of Thrace, 67100 Xanthi, Greece

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.