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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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2024/7104474 |
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| author | Ghada AlNemer Lama Sh. Aljoufi A. M. Ahmed Samir Al Mohammady M. Zakarya H. M. Rezk |
| author_facet | Ghada AlNemer Lama Sh. Aljoufi A. M. Ahmed Samir Al Mohammady M. Zakarya H. M. Rezk |
| author_sort | Ghada AlNemer |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-77a137fc87134492ad71bde918068ec9 |
| institution | Kabale University |
| issn | 1607-887X |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-77a137fc87134492ad71bde918068ec92025-02-03T01:31:59ZengWileyDiscrete Dynamics in Nature and Society1607-887X2024-01-01202410.1155/2024/7104474Dynamical Behavior and Expressions of Solutions of a Class of Higher-Order Nonlinear Difference EquationsGhada AlNemer0Lama Sh. Aljoufi1A. M. Ahmed2Samir Al Mohammady3M. Zakarya4H. M. Rezk5Department of Mathematical ScienceDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsKing Khalid UniversityDepartment of MathematicsThe 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.http://dx.doi.org/10.1155/2024/7104474 |
| spellingShingle | Ghada AlNemer Lama Sh. Aljoufi A. M. Ahmed Samir Al Mohammady M. Zakarya H. M. Rezk Dynamical Behavior and Expressions of Solutions of a Class of Higher-Order Nonlinear Difference Equations Discrete Dynamics in Nature and Society |
| title | Dynamical Behavior and Expressions of Solutions of a Class of Higher-Order Nonlinear Difference Equations |
| title_full | Dynamical Behavior and Expressions of Solutions of a Class of Higher-Order Nonlinear Difference Equations |
| title_fullStr | Dynamical Behavior and Expressions of Solutions of a Class of Higher-Order Nonlinear Difference Equations |
| title_full_unstemmed | Dynamical Behavior and Expressions of Solutions of a Class of Higher-Order Nonlinear Difference Equations |
| title_short | Dynamical Behavior and Expressions of Solutions of a Class of Higher-Order Nonlinear Difference Equations |
| title_sort | dynamical behavior and expressions of solutions of a class of higher order nonlinear difference equations |
| url | http://dx.doi.org/10.1155/2024/7104474 |
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