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

Ghada AlNemer, Lama Sh. Aljoufi, A. M. Ahmed, Samir Al Mohammady, M. Zakarya, H. M. Rezk and Douglas R. Anderson

Discrete Dynamics in Nature and Society, 2024, vol. 2024, 1-11

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

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:7104474

DOI: 10.1155/2024/7104474

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