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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2019 / Volume: 68 Issue: 2

On the periodicity of the solution of a rational difference equation

A. M. Alotaibi0000-0002-0516-1933
M. S. M. Noorani
M. A. El-moneam0000-0002-1676-2662
Sayfa
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Yayın Tarihi
2019-08-01
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In this paper, some cases on the periodicity of the rational difference equation

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Amaç & Hipotez:In this paper, some cases on the periodicity of the rational difference equation
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Temel Bulgular & Veri:In this paper, some cases on the periodicity of the rational difference equation
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Sonuç & Katkı:In this paper, some cases on the periodicity of the rational difference equation
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Rational difference equations · periodicity · higher-order

Abstract

In this paper, some cases on the periodicity of the rational difference equation

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Bu Makaleye Atıf Yap

Alotaibi, A. M., Noorani, M. S. M., El-moneam, M. A. (2019). On the periodicity of the solution of a rational difference equation. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 68 Issue: 2. https://doi.org/10.31801/cfsuasmas.535865

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Kaynakça (10)

  1. Abdul, Khaliq, Faris, Alzahrani and Elsayed, E. M., Global attractivity of a rational difference equation of order ten, Journal of Nonlinear Sciences and Applications, 9 (2016), 4465--4477.
  2. Alotaibi, A. M., El-Moneam, M. A. and Noorani, M. S. M., On the rational difference equation y_{n+1}=((α₀y_{n}+α₁y_{n-p}+α₂y_{n-q}+α₃y_{ n-r}+α₄y_{n-s})/(β₀y_{n}+β₁y_{n-p}+β₂y_{n-q}+β₃y_{n-r}+β₄y_{n-s})), Journal of Nonlinear Sciences and Applications, 11 (2018), 80--97.
  3. Alotaibi, A. M., Noorani M. S. M. and El-Moneam, M. A., On the Asymptotic Behavior Of Some Nonlinear Difference Equations, Journal of Computational Analysis and Applications, 26 (2019), 604--627.
  4. El-Moneam, M. A. and Alamoudy, S. O., On study of the asymptotic behavior of some rational difference equations, Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysi, 21 (2014), 89--109.
  5. El-Moneam, M. A., On the dynamics of the higher order nonlinear rational difference equation, Mathematical Sciences Letter, 3 (2014) 121--129.
  6. Elsayed, E. M., On the global attractivity and periodic character of a recursive sequence, Opuscula Mathematica, 30 (2010), 431--446.
  7. Grove, E. A. and Ladas, G., Periodicities in nonlinear difference equations, Vol.4, Chapman & Hall / CRC, 2005.
  8. Ibrahim, T. F., Periodicity and global attractivity of difference equation of higher order. Journal of Computational Analysis and Applications, 16 (2014).
  9. Ocalan, O., Global dynamics of a non-autonomous rational difference equation. Journal of Applied Mathematics &Informatics, 32, (2014) 843--848.
  10. Touafek, N. and Elsayed, E. M., On the periodicity of some systems of nonlinear difference equations, Bulletin mathematique de la Sociat des Sciences Mathematiques de Roumanie, 55, (2012), 217--224.