Some characteristics of solutions of a class of rational difference equations
Abstract
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.
Keywords
Citation
Dehghan, M. and Mazrooei‐Sebdani, R. (2008), "Some characteristics of solutions of a class of rational difference equations", Kybernetes, Vol. 37 No. 6, pp. 786-796. https://doi.org/10.1108/03684920810876981
Publisher
:Emerald Group Publishing Limited
Copyright © 2008, Emerald Group Publishing Limited