Dynamical Behavior and Expressions of Solutions of a Class of Higher-Order Nonlinear Difference Equations

The aim of this article is to get the forms of the solutions of the following nonlinear higher-order difference equations χs+1=<mfenced open="(" close=")" separators="|">χs−3k+1/±1±Πl=1kχs−3l+1</mfenced>,s=0,1,2,…, where the initial conditions χ−j,j=0,1,2,…,3k−1 and k∈<mfenced open="{" close="}" separators="|">1,2,…</mfenced> are arbitrary real numbers. Also, we examine stability, boundedness, oscillation, and the periodic nature of these solutions.