Convergence of solutions of a p-dimensional system of sk-order rational recursive equations
A p-dimensional system of sk-order rational recursive equations
Resumo
We extend an exciting result on the convergence of positive solutions to a p-dimensional system of higher-order rational difference equations, which can also be considered as an extension of the one presented by Şimşek and Doğan (MANAS Journal of Engineering, 2014, 2(1), 16-22). Our results popularize some findings in the literature. We provide illustrative examples of the solutions that have been calculated and plotted.
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Referências
R. Abo-Zeid., C. Cinar. Global behavior of the difference equation x_{n+1}=Ax_{n-1}/B-Cx_{n}x_{n-2}. Boletim da Sociedade Paranaense de Matemática, 31(1), 43-49 (2013).
E. M. Elsayed., H. S. Gafel. On the solutions and behavior of rational systems of difference equations. Boletim da Sociedade Paranaense de Matemática, Articles in Press.
A. Ghezal., I. Zemmouri. Higher-order system of p-nonlinear difference equations solvable in closed-form with variable coefficients. Boletim da Sociedade Paranaense de Matemática, 41, 1-14 (2022).
A. Ghezal., I. Zemmouri. Solution forms for generalized hyperbolic cotangent type systems of p-difference equations. Boletim da Sociedade Paranaense de Matemática, Accepted.
A. Ghezal., I. Zemmouri. On solutions of a two-dimensional (m+1)-order system of difference equations via Pell numbers. Boletim da Sociedade Paranaense de Matemática, Submit.
A. Ghezal., I. Zemmouri. Global stability of a multi-dimensional system of rational difference equations of higher-order with Pell-coefficients. Boletim da Sociedade Paranaense de Matemática, Submit.
M. Kara., Y. Yazlik. Solvability of a system of nonlinear difference equations of higher order. Turkish Journal of Mathematics, 43(3), 1533-1565 (2019).
M. Kara., Y. Yazlik. Solutions formulas for three-dimensional difference equations system with constant coefficients. Turkish Journal of Mathematics and Computer Science, 14(1), 107-116 (2022).
E. M. Elsayed., H. S. Gafel. On the solutions and behavior of rational systems of difference equations. Boletim da Sociedade Paranaense de Matemática, Articles in Press.
A. Ghezal., I. Zemmouri. Higher-order system of p-nonlinear difference equations solvable in closed-form with variable coefficients. Boletim da Sociedade Paranaense de Matemática, 41, 1-14 (2022).
A. Ghezal., I. Zemmouri. Solution forms for generalized hyperbolic cotangent type systems of p-difference equations. Boletim da Sociedade Paranaense de Matemática, Accepted.
A. Ghezal., I. Zemmouri. On solutions of a two-dimensional (m+1)-order system of difference equations via Pell numbers. Boletim da Sociedade Paranaense de Matemática, Submit.
A. Ghezal., I. Zemmouri. Global stability of a multi-dimensional system of rational difference equations of higher-order with Pell-coefficients. Boletim da Sociedade Paranaense de Matemática, Submit.
M. Kara., Y. Yazlik. Solvability of a system of nonlinear difference equations of higher order. Turkish Journal of Mathematics, 43(3), 1533-1565 (2019).
M. Kara., Y. Yazlik. Solutions formulas for three-dimensional difference equations system with constant coefficients. Turkish Journal of Mathematics and Computer Science, 14(1), 107-116 (2022).
Publicado
2025-09-25
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