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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.
© Emerald Group Publishing Limited
2008
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