1
Mathematics Department, Faculty of Science and Arts in Farasan, Jazan University, Saudi Arabia
2
Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt
http://dx.doi.org/10.1016/j.joems.2014.11.002
Abstract
In this article, we study the periodicity, the boundedness and the global stability of the positive solutions of the following nonlinear difference equation xnþ1 ¼ Axn þ Bxnk þ Cxnl þ bxnk dxnk exnl ; n ¼ 0; 1; 2; ... where the coefficients A;B; C; b; d; e 2 ð0;1Þ, while k and l are positive integers. The initial conditions xl; ... ; xk; ... ; x1; x0 are arbitrary positive real numbers such that k < l. Some numerical examples will be given to illustrate our results.
El-Moneam, M., & Zayed, E. (2015). On the dynamics of the nonlinear rational difference equation xnþ1 ¼ Axn þ Bxnk þ Cxnl þ bxnk dxnkexnl. Journal of the Egyptian Mathematical Society, 23(3), 494-499. doi: http://dx.doi.org/10.1016/j.joems.2014.11.002
MLA
M.A. El-Moneam; E.M.E. Zayed. "On the dynamics of the nonlinear rational difference equation xnþ1 ¼ Axn þ Bxnk þ Cxnl þ bxnk dxnkexnl", Journal of the Egyptian Mathematical Society, 23, 3, 2015, 494-499. doi: http://dx.doi.org/10.1016/j.joems.2014.11.002
HARVARD
El-Moneam, M., Zayed, E. (2015). 'On the dynamics of the nonlinear rational difference equation xnþ1 ¼ Axn þ Bxnk þ Cxnl þ bxnk dxnkexnl', Journal of the Egyptian Mathematical Society, 23(3), pp. 494-499. doi: http://dx.doi.org/10.1016/j.joems.2014.11.002
VANCOUVER
El-Moneam, M., Zayed, E. On the dynamics of the nonlinear rational difference equation xnþ1 ¼ Axn þ Bxnk þ Cxnl þ bxnk dxnkexnl. Journal of the Egyptian Mathematical Society, 2015; 23(3): 494-499. doi: http://dx.doi.org/10.1016/j.joems.2014.11.002
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