Global Behavior of Solutions to a Higher-Dimensional System of Difference Equations with Lucas Numbers Coefficients
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| Título: | Global Behavior of Solutions to a Higher-Dimensional System of Difference Equations with Lucas Numbers Coefficients |
|---|---|
| Autor/es: | Berkal, Messaoud | Navarro, Juan F. | Abo-Zeid, Raafat |
| Grupo/s de investigación o GITE: | Geodesia Espacial y Dinámica Espacial |
| Centro, Departamento o Servicio: | Universidad de Alicante. Departamento de Matemática Aplicada |
| Palabras clave: | Lucas numbers | Fibonacci numbers | System of difference equations | Global stability |
| Fecha de publicación: | 31-mar-2024 |
| Editor: | MDPI |
| Cita bibliográfica: | Mathematical and Computational Applications. 2024, 29(2): 28. https://doi.org/10.3390/mca29020028 |
| Resumen: | In this paper, we derive the well-defined solutions to a 𝜃-dimensional system of difference equations. We show that, the well-defined solutions to that system are represented in terms of Fibonacci and Lucas sequences. Moreover, we study the global stability of the solutions to that system. Finally, we give some numerical examples which confirm our theoretical results. |
| URI: | http://hdl.handle.net/10045/142084 |
| ISSN: | 2297-8747 |
| DOI: | 10.3390/mca29020028 |
| Idioma: | eng |
| Tipo: | info:eu-repo/semantics/article |
| Derechos: | © 2024 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). |
| Revisión científica: | si |
| Versión del editor: | https://doi.org/10.3390/mca29020028 |
| Aparece en las colecciones: | INV - GEDE - Artículos de Revistas |
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| Archivo | Descripción | Tamaño | Formato | |
|---|---|---|---|---|
 Berkal_etal_2024_MathComputAppl.pdf | 292,61 kB | Adobe PDF | Abrir Vista previa | |
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