Dynamical Behavior and Expressions of Solutions of a Class of Higher-Order Nonlinear Difference Equations
Abstract
The aim of this article is to get the forms of the solutions of the following nonlinear
higher-order diff erenceequations where the initial conditions and are arbitrary real numbers. Also, we examine stability,boundedness, oscillation, and the periodic nature of these solutions.
Keywords
Recursive sequence, oscillation, semicycles, stability, periodicity, solutions of difference equations. 2020 MSC: 39A10, 39A22, 39A23.