| Volume 10, Number 4, 2020, Pages 1343-1354 DOI：10.11948/20190196 |
| Qualitative analysis of a fourth order difference equation |
| Haza Saleh Alayachi,M. S. M. Noorani,E. M. Elsayed |
| Keywords:Stability, periodicity, global attractor, boundedness, difference equations. |
| Abstract: |
| In this paper, we will investigate some qualitative behavior of solutions of the following fourth order difference equation $x_{n+1}=ax_{n-1}+\frac{bx_{n-1}}{cx_{n-1}-dx_{n-3}},$ \ $n=0,1,...,$ where the initial conditions $x_{-3,}x_{-2},\ x_{-1}$\ and\ $x_{0}\ $are arbitrary real numbers and the values $a,\ b,\ c\ $and$\;d$ are\ defined as positive real numbers. |
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