| Volume 10, Number 1, 2020, Pages 282-296 DOI：10.11948/20190143 |
| Dynamical behavior and solution of nonlinear difference equation via Fibonacci sequence |
| Elsayed M. Elsayed,Faris Alzahrani,Ibrahim Abbas,N. H. Alotaibi |
| Keywords:Stability, boundedness, solution of difference equations. |
| Abstract: |
| In this paper, we study the behavior of the difference equation xn+1=axn+bxnxn−1cxn−1+dxn−2, n=0,1,…, where the initial conditions x−2, x−1, x0 are arbitrary positive real numbers and a,b,c,d are positive constants. Also, we give the solution of some special cases of this equation. |
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