Some characteristics of solutions of a class of rational difference equations
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 this difference equation possesses unbounded solutions. Originality/value - The paper investigates some of the characteristics of nonlinear difference equations.
difference equations cybernetics stability (control theory)