### Abstract

In this paper, some qualitative properties are discussed such as the boundedness, the periodicity and the global stability of the positive solutions of the nonlinear difference equation (Formula presented) where the coeficients A; αi; β_{i} ϵ (0, ∞); i = 1, …, 5, while the initial conditions y−5,y−4,y−3,y−2; y−1; y0 are arbitrary positive real numbers. Some numerical examples will be given to illustrate our results.

Original language | English |
---|---|

Pages (from-to) | 604-627 |

Number of pages | 24 |

Journal | Journal of Computational Analysis and Applications |

Volume | 26 |

Issue number | 4 |

Publication status | Published - 1 Apr 2019 |

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### Keywords

- Boundedness character
- Difference equations
- Global attractor
- Global stability
- High orders
- Locally asymptotically stable
- Prime period two solution

### ASJC Scopus subject areas

- Computational Mathematics

### Cite this

*Journal of Computational Analysis and Applications*,

*26*(4), 604-627.

**On the asymptotic behavior of some nonlinear difference equations.** / Alotaibi, A. M.; Md. Noorani, Mohd. Salmi; El-Moneam, M. A.

Research output: Contribution to journal › Article

*Journal of Computational Analysis and Applications*, vol. 26, no. 4, pp. 604-627.

}

TY - JOUR

T1 - On the asymptotic behavior of some nonlinear difference equations

AU - Alotaibi, A. M.

AU - Md. Noorani, Mohd. Salmi

AU - El-Moneam, M. A.

PY - 2019/4/1

Y1 - 2019/4/1

N2 - In this paper, some qualitative properties are discussed such as the boundedness, the periodicity and the global stability of the positive solutions of the nonlinear difference equation (Formula presented) where the coeficients A; αi; βi ϵ (0, ∞); i = 1, …, 5, while the initial conditions y−5,y−4,y−3,y−2; y−1; y0 are arbitrary positive real numbers. Some numerical examples will be given to illustrate our results.

AB - In this paper, some qualitative properties are discussed such as the boundedness, the periodicity and the global stability of the positive solutions of the nonlinear difference equation (Formula presented) where the coeficients A; αi; βi ϵ (0, ∞); i = 1, …, 5, while the initial conditions y−5,y−4,y−3,y−2; y−1; y0 are arbitrary positive real numbers. Some numerical examples will be given to illustrate our results.

KW - Boundedness character

KW - Difference equations

KW - Global attractor

KW - Global stability

KW - High orders

KW - Locally asymptotically stable

KW - Prime period two solution

UR - http://www.scopus.com/inward/record.url?scp=85045524017&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85045524017&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85045524017

VL - 26

SP - 604

EP - 627

JO - Journal of Computational Analysis and Applications

JF - Journal of Computational Analysis and Applications

SN - 1521-1398

IS - 4

ER -