Dergiler / Journal of Mathematical Sciences and Modelling / 2018 / Cilt: 1 - Sayı: 3

The Form of the Solutions of System of Rational Difference Equation

Sayfa
181–191
Yayın Tarihi
2018-12-30
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Also, we give the numerical examples of some of difference equations and got some related graphs and figures using by Matlab.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this article, we study the form of the solutions of the system of difference equations $x_{n+1}=((y_{n-8})/(1+y_{n-2}x_{n-5}y_{n-8}))$, $y_{n+1}=((x_{n-8})/(\pm1\pm x_{n-2}y_{n-5}x_{n-8}))$, with the initial conditions are real numbers.
📊
Temel Bulgular & Veri:In this article, we study the form of the solutions of the system of difference equations $x_{n+1}=((y_{n-8})/(1+y_{n-2}x_{n-5}y_{n-8}))$, $y_{n+1}=((x_{n-8})/(\pm1\pm x_{n-2}y_{n-5}x_{n-8}))$, with the initial conditions are real numbers.
💡
Sonuç & Katkı:Also, we give the numerical examples of some of difference equations and got some related graphs and figures using by Matlab.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Difference Equation · System difference equations · Periodicity

Abstract

In this article, we study the form of the solutions of the system of difference equations $x_{n+1}=((y_{n-8})/(1+y_{n-2}x_{n-5}y_{n-8}))$, $y_{n+1}=((x_{n-8})/(\pm1\pm x_{n-2}y_{n-5}x_{n-8}))$, with the initial conditions are real numbers. Also, we give the numerical examples of some of difference equations and got some related graphs and figures using by Matlab.

🔖

Bu Makaleye Atıf Yap

ALZUBAİDİ, M. M., ELSAYED, E. M. (2018). The Form of the Solutions of System of Rational Difference Equation. Journal of Mathematical Sciences and Modelling, Cilt: 1 - Sayı: 3, 181–191. https://ajindex.com/articles/777566

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (14)

  1. A. M. Ahmed, E. M. Elsayed, The expressions of solutions and the periodicity of some rational difference equations system, J. Appl. Math. Inform. 34(1-2) (2016), 35–48
  2. M. M. El-Dessoky, The form of solutions and periodicity for some systems of third-order rational difference equations, Math. Meth. Appl. Sci., 39 (2016), 1076–1092
  3. M. M. El-Dessoky, E. M. Elsayed, On the solutions and periodic nature of some systems of rational difference equations, J. Comput. Anal. Appl., 18(2) (2015), 206–218
  4. M. M. El-Dessoky, A. Khaliq, A. Asiri, On some rational system of difference equations, J. Nonlinear Sci. Appl., 11 (2018), 49–72
  5. E. M. Elsayed, T. F. Ibrahim, Periodicity and solutions for some systems of nonlinear rational difference equations, Hacettepe Journal of Mathematics and Statistics, 44 (6) (2015), 1361–1390
  6. E. M. Elsayed, A. Alghamdi, The form of the solutions of nonlinear difference equations systems, J. Nonlinear Sci. Appl., 9 (2016), 3179–3196
  7. N. Haddad, N. Touafek, J. F. T. Rabago, Solution form of a higher-order system of difference equations and dynamical behavior of its special case, Math. Methods Appl. Sci., 40 (2017), 3599–3607
  8. A. S. Kurbanli, On the behavior of solutions of the system of rational difference equations $x_{n+1}=x_{n-1}/(y_{n}x_{n-1}-1),$; $y_{n+1}=y_{n-1}/(x_{n}y_{n-1}-1)$, World Appl. Sci. J., 10(11) (2010), 1344-1350
  9. A. S. Kurbanli, C. C¸ inar, D. S¸ims¸ek, On the periodicity of solutions of the system of rational difference equations $x_{n+1}=x_{n-1}+y_{n}/(y_{n}x_{n-1}-1),$; $y_{n+1}=y_{n-1}+x_{n}/(x_{n}y_{n-1}-1)$, Appl. Math., 2 (2011), 410-413
  10. A. S. Kurbanli, C. C¸ inar, I. Yalc¸inkaya, On the behavior of positive solutions of the system of rational difference equations $x_{n+1}=x_{n-1}/(y_{n}x_{n-1}+1),$; $y_{n+1}=y_{n-1}/(x_{n}y_{n-1}+1)$, Math. Comput. Modelling, 53 (2011), 1261–1267
  11. M. Mansour, M. M. El-Dessoky, E. M. Elsayed, The form of the solutions and periodicity of some systems of difference equations, Discrete Dyn. Nat. Soc., 2012 (2012), Article ID 406821, 1-17
  12. N. Touafek and E. M. Elsayed, On the solutions of systems of rational difference equations, Math. Comput. Modelling, 55 (2012), 1987-1997
  13. S. A. Abramov, D. E. Khmelnov, Denominators of rational solutions of linear difference systems of an arbitrary order, Program. Comput. Softw., 38 (2) (2012), 84–91
  14. R. Abu-Saris, C. Cinar, I. Yalcinkaya, On the Asymptotic Stability of $x_{n+1}=a+x_