DYNAMICS OF A HIGHER-ORDER RATIONAL DIFFERENCE EQUATION

Qi Wang; Qinqin Zhang

doi:10.11948/2017048

2017 Volume 7 Issue 2

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Qi Wang, Qinqin Zhang. DYNAMICS OF A HIGHER-ORDER RATIONAL DIFFERENCE EQUATION[J]. Journal of Applied Analysis & Computation, 2017, 7(2): 770-787. doi: 10.11948/2017048

Citation:

Qi Wang, Qinqin Zhang. DYNAMICS OF A HIGHER-ORDER RATIONAL DIFFERENCE EQUATION[J]. Journal of Applied Analysis & Computation, 2017, 7(2): 770-787. doi: 10.11948/2017048

DYNAMICS OF A HIGHER-ORDER RATIONAL DIFFERENCE EQUATION

Qi Wang^1,2,
Qinqin Zhang¹

1 School of Mathematics and Information Science, Guangzhou University, 230 Guangzhou University City Outer Ring Road, 510006 Guangzhou, China;
2 College of Science, Guangxi University of Science and Technology, 268 East Ring Road, 545006 Liuzhou, China

Fund Project:

Abstract

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.
- Difference equation /
- initial value problem /
- local stability /
- periodicity /
- oscillation
MSC: 39A10;65Q10;65Q30

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References

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