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Volume 7, Number 2, 2017, Pages 770-787                                                                DOI:10.11948/2017048
Dynamics of a higher-order rational difference equation
Qi Wang,Qinqin Zhang
Keywords:Difference equation, initial value problem, local stability, periodicity, oscillation.
Abstract:
      We consider a higher order rational difference equation. Firstly, we skillfully give a sufficient and necessary condition for the existence and uniqueness of the initial value problem. And then we investigate the local stability, asymptotic behavior, periodicity and oscillation of solutions for the difference equation. Finally, we give some numerical simulations to illustrate our results.
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