On the dynamics of a higher order rational difference equations
(2017). On the dynamics of a higher order rational difference equations. EKB Journal Management System, 25(1), 28-36. doi: 10.1016/j.joems.2016.06.010
. "On the dynamics of a higher order rational difference equations". EKB Journal Management System, 25, 1, 2017, 28-36. doi: 10.1016/j.joems.2016.06.010
(2017). 'On the dynamics of a higher order rational difference equations', EKB Journal Management System, 25(1), pp. 28-36. doi: 10.1016/j.joems.2016.06.010
On the dynamics of a higher order rational difference equations. EKB Journal Management System, 2017; 25(1): 28-36. doi: 10.1016/j.joems.2016.06.010

On the dynamics of a higher order rational difference equations

Journal of the Egyptian Mathematical Society
Volume 25, Issue 1, 2017, Pages 28-36    PDF (499.56 K)
DOI: 10.1016/j.joems.2016.06.010
Abstract
The main objective of this paper is to study the global stability of the positive solutions and the periodic
character of the difference equation
yn+1 = ayn + byn−t + cyn−l + dyn−k + eyn−s
αyn−k + βyn−s
, n = 0, 1, . . .,
with positive parameters and non-negative initial conditions. Numerical examples to the difference equation are given to explain our results.
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