Dynamical analysis and solutions of nonlinear difference equations of twenty-fourth order

Abstract

This paper discusses the behaviors and solutions of some rational recursive relations of twenty-fourth order using the iteration technique and the modulus operator. The stability of the equilibrium points are comprehensively analyzed. We also present other properties such as periodicity, oscillation and bounded solutions. Some numerical examples are obviously given to ensure the validity of the theoretical work. These examples are plotted using MATLAB. The proposed techniques can be utilized to be applied on other nonlinear equations.