Global behavior of a higher order difference equation

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Abstract

In this paper we study the global behavior of the nonnegative equilibrium points of the difference equation xn+1=AxnmB+Ci=02k+1xni,n=0,1, where A,B,C are nonnegative parameters, initial conditions are nonnegative real numbers and k,m are nonnegative integers, m2k+1. Also we derive solutions of some special cases of this equation.

Keywords

Difference equation
Globally asymptotically
Periodicity

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