TY - JOUR AU - Aljoufi, L. Sh. AU - Mohammady, S. A. AU - Ahmed, A. M. PY - 2023 TI - Expressions and dynamical behavior of solutions of eighteenth-order of a class of rational difference equations JO - Journal of Mathematics and Computer Science SP - 258--269 VL - 28 IS - 3 AB - The aim of this work is to obtain the forms of the solutions of the following nonlinear eighteenth-order difference equations \[ x_{n+1}=\frac{x_{n-17}}{\pm 1\pm x_{n-2}x_{n-5}x_{n-8}x_{n-11}x_{n-14}x_{n-17}},\ \ \ \ n=0,1,2,\ldots, \] where the initial conditions \(x_{-17},x_{-16},\ldots,x_{0}\) are arbitrary real numbers. Moreover, we investigate stability, boundedness, oscillation, and the periodic character of these solutions. Finally, we confirm the results with some numerical examples and graphs by using Matlab program. SN - ISSN 2008-949X UR - http://dx.doi.org/10.22436/jmcs.028.03.04 DO - 10.22436/jmcs.028.03.04 ID - Aljoufi2023 ER -