Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2019 / Cilt: 68 - Sayı: 1

Global behavior of a three-dimensional system of difference equations of order three

Sayfa
1–16
Yayın Tarihi
2019-02-01
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In this paper, we investigate the global behavior of the positive solutions of the system of difference equations

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we investigate the global behavior of the positive solutions of the system of difference equations
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Temel Bulgular & Veri:In this paper, we investigate the global behavior of the positive solutions of the system of difference equations
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Sonuç & Katkı:In this paper, we investigate the global behavior of the positive solutions of the system of difference equations
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:System of difference equations · stability · global behavior

Abstract

In this paper, we investigate the global behavior of the positive solutions of the system of difference equations

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Bu Makaleye Atıf Yap

TOLLU, D. T., YALÇINKAYA, İ. (2019). Global behavior of a three-dimensional system of difference equations of order three. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 68 - Sayı: 1, 1–16. https://ajindex.com/articles/747014

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Kaynakça (9)

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  2. Din, Q., Ibrahim, T. F. and Khan, A. Q., Behavior of a competitive system of second-order difference equations, The Scientific World Journal, vol. 2014, Article ID 283982, 9 pages. Elabbasy, E. M., El-Metwally, H. and Elsayed, E. M., Some properties and expressions of solutions for a class of nonlinear difference equation, Utilitas Mathematica, 87(2012), 93-110.
  3. El-Metwally, H. and Elsayed, E. M., Solution and behavior of a third rational difference equation, Utilitas Mathematica, 88(2012), 27--42. El-Metwally, H., Yalcinkaya, I. and Cinar, C., Global stability of an economic model, Utilitas Mathematica, 95(2014), 235-244.
  4. El-Owaidy, H. M., Ahmed, A. M. and Youssef, A. M., The dynamics of the recursive sequence x_{n+1}=((αx_{n-1})/(β+γx_{n-2}^{p})), Applied Mathematics Letters, 18(9)(2005), 1013-1018.
  5. Elaydi, S., An introduction to difference equations, third edition, undergraduate texts in mathematics, Springer, New York, 1999.
  6. Elsayed, E. M., El-Dessoky, M. M. and Alotaibi, A., On the solutions of a general system of difference equations, Discrete Dynamics in Nature and Society, Article ID 892571, (2012).
  7. Gumus, M. and Soykan, Y., Global character of a six dimensional nonlinear system of difference equations, Discrete Dynamics in Nature and Society, vol. 2016, Article ID 6842521, 7 pages. Kocic, V. L., and Ladas, G., Global behavior of nonlinear difference equations of higher order with applications, Kluwer Academic, Dordrecht, 1993. Kulenović, M. R. S. and Nurkanović, Z., Global behavior of a three-dimensional linear fractional system of difference equations, Journal of Mathematical Analysis and Applications, 310(2)(2005), 673-689.
  8. Kurbanli, A. S., Cinar, C. and Yalcinkaya, I., 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), Mathematical and Computer Modelling, 53(5-6)(2011), 1261-1267.
  9. Kurbanli, A. S., 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), z_{n+1}=1/(y_{n}z_{n}), Advances in Difference Equations, 2011: 40. Kurbanli, A. S., On the behavior of solutions of t