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Title: Dynamics of difference equation xn+1 = f (xn–l, xn–k)
Authors: Moaaz, Osama 
Keywords: Difference equations;Equilibrium - Mathematical models;Local and global stability;Prime period two;Differential equations, Partial
Issue Date: 2007
Abstract: In this paper, we present the asymptotic behavior of the solutions for a general class of difference equations. We introduce general theorems in order to study the stability and periodicity of the solutions. Moreover, we use a new technique to study the existence of periodic solutions of this general equation. By using our general results, we can study many special cases that have not been studied previously and some problems that were raised previously. Some numerical examples are provided to illustrate the new results.
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