On solutions of a two-dimensional (m + 1)-order system of difference equations via Pell numbers
On solutions of a system of difference equations
Resumo
In this paper, we are interested in the closed-form solution of the following two-dimensional system of difference equations of (m + 1)-order. We show that the solutions of this system are associated with Pell numbers and some other numbers. It is shown that the global stability of positive solutions of this system holds. Our results are illustrated via numerical examples.
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Referências
1- R. Abo-Zeid. Behavior of solutions of a second-order rational difference equation. Mathematica Moravica, 23(1), 11-25 (2019).
E. M. Elsayed.,B. S. Alo . Dynamics and solutions structures of nonlinear system of difference equations. Mathematical Methods in the Applied Sciences, 1-18 (2022).
3- A. Ghezal., I. Zemmouri. Higher-order system of pnonlinear difference equations solvable in closed-form with variable coeggcients. Boletim da Sociedade Paranaense de Matematica, 41, 1 - 14 (2022).
4- A. Ghezal., I. Zemmouri. Solution forms for generalized hyperbolic cotangent type systems of p-difference equations. Boletim da Sociedade Paranaense de Matematica, Accepted, 1 - 15 (2023).
5- M. Kara., Y. Yazlik. Solvability of a system of nonlinear difference equations of higher order. Turkish Journal of Mathematics, 43(3), 1533-1565 (2019).
6- T. F. Ibrahim., A. Q. Khan. Forms of solutions for some two-dimensional systems of rational partial recursion equations. Mathematical Problems in Engineering, 2021 Article ID 9966197 (2021).
E. M. Elsayed.,B. S. Alo . Dynamics and solutions structures of nonlinear system of difference equations. Mathematical Methods in the Applied Sciences, 1-18 (2022).
3- A. Ghezal., I. Zemmouri. Higher-order system of pnonlinear difference equations solvable in closed-form with variable coeggcients. Boletim da Sociedade Paranaense de Matematica, 41, 1 - 14 (2022).
4- A. Ghezal., I. Zemmouri. Solution forms for generalized hyperbolic cotangent type systems of p-difference equations. Boletim da Sociedade Paranaense de Matematica, Accepted, 1 - 15 (2023).
5- M. Kara., Y. Yazlik. Solvability of a system of nonlinear difference equations of higher order. Turkish Journal of Mathematics, 43(3), 1533-1565 (2019).
6- T. F. Ibrahim., A. Q. Khan. Forms of solutions for some two-dimensional systems of rational partial recursion equations. Mathematical Problems in Engineering, 2021 Article ID 9966197 (2021).
Publicado
2025-08-25
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