Abstract
Most nonlinear difference equations have exact solutions that are not always possible to obtain theoretically. As a result, a large number of researchers investigate several qualitative aspects of difference equations in order to predict their lengthy behavior. The goal of our research is to obtain the solutions of a tenth-order difference equation Un+1. Un-9 Un-5 Un-1/Un-7 Un-3(+/- 1 +/- Un-9 Un-5 Un-1), n >= 0, where the initial values are positive real numbers. Stability and periodicity are also investigated.Y