On the oscillation of a third order rational difference equation | ||||
| Journal of the Egyptian Mathematical Society | ||||
| Volume 23, Issue 1, 2015, Page 62-66 PDF (444.56 K) | ||||
| Document Type: Original Article | ||||
| DOI: 10.1016/j.joems.2014.03.001 | ||||
 View on SCiNiTO | ||||
| Author | ||||
| R. Abo-Zeid* | ||||
| Department of Basic Science, High Institute for Engineering & Modern Technology, Cairo, Egypt | ||||
| Abstract | ||||
| In this paper, we discuss the global asymptotic stability of all solutions of the difference equation xnþ1 ¼ Axn2 B þ Cxnxn1xn2 ; n ¼ 0; 1; ... where A;B; C are positive real numbers and the initial conditions x2; x1; x0 are real numbers. Although we have an explicit formula for the solutions of that equation, the oscillation character is worth to be discussed. | ||||
| Keywords | ||||
| Difference equation; Locally asymptotically stable; Periodic solution; Oscillation | ||||
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