Abstract
The aim of this work is to obtain the forms of the solutions of the following nonlinear eighteenth-order difference equations
x(n+1) = x(n-17)/+/- 1 +/- x(n-2)x(n-5)x(n-8)x(n-11)x(n-14)x(n-17), n = 0, 1, 2, ... ,
where the initial conditions x(-17), x(-16), ... , 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.