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

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=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, oscillati...

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Veröffentlicht in:Discrete dynamics in nature and society 2024-02, Vol.2024, p.1-11
Hauptverfasser: AlNemer, Ghada, Aljoufi, Lama Sh, Ahmed, A. M., Al Mohammady, Samir, Zakarya, M., Rezk, H. M.
Format: Artikel
Sprache:eng
Schlagworte:
Difference equations
Equilibrium
Hypotheses
Initial conditions
Mathematical analysis
Real numbers
Theorems
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Beschreibung
Zusammenfassung: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.
ISSN:1026-0226
1607-887X
DOI:10.1155/2024/7104474