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Journals / Hacettepe Journal of Mathematics and Statistics / 2012 / Cilt: 41 - Sayı: 6

ON A SECOND ORDER RATIONAL DIFFERENCE EQUATION

Nouressadat TOUAFEK
Pages
867–874
Publication Date
2022-10-18
DOI
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In this paper, we investigate the stability of the following differenceequationxn+1 =ax4n + bxnx3n−1 + cx2nx2n−1 + dx3nxn−1 + ex4n−1Ax4n + Bxnx3n−1 + Cx2nx2n−1 + Dx3nxn−1 + Ex4n−1,n = 0, 1, . . . ,where the parameters a, b, c, d, e, A, B, C, D, E are positive realnumbers and the initial values x0, x−1 are arbitrary positive numbers.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we investigate the stability of the following differenceequationxn+1 =ax4n + bxnx3n−1 + cx2nx2n−1 + dx3nxn−1 + ex4n−1Ax4n + Bxnx3n−1 + Cx2nx2n−1 + Dx3nxn−1 + Ex4n−1,n = 0, 1, . . . ,where the parameters a, b, c, d, e, A, B, C, D, E are positive realnumbers and the initial values x0, x−1 are arbitrary positive numbers.
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Key Findings & Data:In this paper, we investigate the stability of the following differenceequationxn+1 =ax4n + bxnx3n−1 + cx2nx2n−1 + dx3nxn−1 + ex4n−1Ax4n + Bxnx3n−1 + Cx2nx2n−1 + Dx3nxn−1 + Ex4n−1,n = 0, 1, . . . ,where the parameters a, b, c, d, e, A, B, C, D, E are positive realnumbers and the initial values x0, x−1 are arbitrary positive numbers.
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Conclusion & Impact:In this paper, we investigate the stability of the following differenceequationxn+1 =ax4n + bxnx3n−1 + cx2nx2n−1 + dx3nxn−1 + ex4n−1Ax4n + Bxnx3n−1 + Cx2nx2n−1 + Dx3nxn−1 + Ex4n−1,n = 0, 1, . . . ,where the parameters a, b, c, d, e, A, B, C, D, E are positive realnumbers and the initial values x0, x−1 are arbitrary positive numbers.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:: Difference equations · Global stability

Abstract

In this paper, we investigate the stability of the following differenceequationxn+1 =ax4n + bxnx3n−1 + cx2nx2n−1 + dx3nxn−1 + ex4n−1Ax4n + Bxnx3n−1 + Cx2nx2n−1 + Dx3nxn−1 + Ex4n−1,n = 0, 1, . . . ,where the parameters a, b, c, d, e, A, B, C, D, E are positive realnumbers and the initial values x0, x−1 are arbitrary positive numbers.

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Cite This Article

TOUAFEK, N. (2022). ON A SECOND ORDER RATIONAL DIFFERENCE EQUATION. Hacettepe Journal of Mathematics and Statistics, Cilt: 41 - Sayı: 6, 867–874. https://ajindex.com/articles/530520

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