| 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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