TY - JOUR AB - Purpose– The aim of this paper is to study the global behavior of a higher order nonlinear difference equation.Design/methodology/approach– The character of semicycles, periodicity, global stability and boundedness of positive solutions of the mentioned difference equation are investigated.Findings– It is deduced that, when q<1, then the positive equilibrium of this equation is globally asymptotically stable and, when q>1, then this difference equation possesses unbounded solutions.Originality/value– The paper investigates some of the characteristics of nonlinear difference equations. VL - 37 IS - 6 SN - 0368-492X DO - 10.1108/03684920810876981 UR - https://doi.org/10.1108/03684920810876981 AU - Dehghan Mehdi AU - Mazrooei‐Sebdani Reza PY - 2008 Y1 - 2008/01/01 TI - Some characteristics of solutions of a class of rational difference equations T2 - Kybernetes PB - Emerald Group Publishing Limited SP - 786 EP - 796 Y2 - 2024/05/04 ER -