On the dynamical behaviors and periodicity of difference equation of order three

Ibraheem ALSULAMİ; Elsayed ELSAYED

doi:https://doi.org/10.54187/jnrs.1037024

Makale detayları

On the dynamical behaviors and periodicity of difference equation of order three

Yazarlar:

Ibraheem ALSULAMİ | Elsayed ELSAYED

Yayıncı:

Tokat Gaziosmanpasa University

Ana Başlıklar:

Matematik

Dergi:

Journal of New Results in Science 2022 Vol.11 Issue 1, pp.48-61

Belge Tipi:

Makale

Yayın Tarihi:

4/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000489776

Sıklık:

Üç Yıllık

pISSN:

1304-7981

DOI:

https://doi.org/10.54187/jnrs.1037024

Özet:

 

The major target of our research paper is to demonstrate the boundedness, stability and periodicity of the solutions of the following third- order difference equation 
wn+1=αwn+β+γwn−2δ+ζwn−2,n=0,1,2,…wn+1=αwn+β+γwn−2δ+ζwn−2,n=0,1,2,…
 w_{n+1} = \alpha w_{n} +\frac {\beta+ \gamma w_{n_-2} }{\delta+\zeta w_{n-2}}  , \;\;\;\; n = 0,1,2,\dots

 where w−2w−2w_{-2}, w−1w−1w_{-1}, and w0w0w_{0}  are arbitrary real numbers and the values αα\alpha, ββ\beta, γγ\gamma, δδ\delta, and ζζ\zeta  are defined as positive constants.

Makale detayları

On the dynamical behaviors and periodicity of difference equation of order three

Yazarlar: Ibraheem ALSULAMİ | Elsayed ELSAYED

Yayıncı: Tokat Gaziosmanpasa University

Ana Başlıklar: Matematik

Dergi: Journal of New Results in Science 2022 Vol.11 Issue 1, pp.48-61

Belge Tipi: Makale

Yayın Tarihi: 4/2022

Belge Dili: İngilizce

Document ID (Org No.): 2000489776

Sıklık: Üç Yıllık

pISSN: 1304-7981

DOI: https://doi.org/10.54187/jnrs.1037024

Sayı

Yazarlar:

Ibraheem ALSULAMİ | Elsayed ELSAYED

Yayıncı:

Tokat Gaziosmanpasa University

Ana Başlıklar:

Matematik

Dergi:

Journal of New Results in Science 2022 Vol.11 Issue 1, pp.48-61

Belge Tipi:

Makale

Yayın Tarihi:

4/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000489776

Sıklık:

Üç Yıllık

pISSN:

1304-7981

DOI:

https://doi.org/10.54187/jnrs.1037024