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- Title
Dynamical Behavior and Expressions of Solutions of a Class of Higher-Order Nonlinear Difference Equations.
- Authors
AlNemer, Ghada; Aljoufi, Lama Sh.; Ahmed, A. M.; Al Mohammady, Samir; Zakarya, M.; Rezk, H. M.
- Abstract
The aim of this article is to get the forms of the solutions of the following nonlinear higher-order difference equations χ s + 1 = χ s − 3 k + 1 / ± 1 ± Π l = 1 k χ s − 3 l + 1 , s = 0 , 1 , 2 , ... , where the initial conditions χ − j , j = 0 , 1 , 2 , ... , 3 k − 1 and k ∈ 1 , 2 , ... are arbitrary real numbers. Also, we examine stability, boundedness, oscillation, and the periodic nature of these solutions.
- Subjects
NONLINEAR difference equations; REAL numbers; NONLINEAR dynamical systems; DIFFERENCE equations
- Publication
Discrete Dynamics in Nature & Society, 2024, Vol 2024, p1
- ISSN
1026-0226
- Publication type
Article
- DOI
10.1155/2024/7104474