Dergiler / Hacettepe Journal of Mathematics and Statistics / 2013 / Cilt: 42 - Sayı: 1

Dynamics of a nonlinear rational difference equation

Sayfa
9–14
Yayın Tarihi
2022-10-18
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)

In this paper, we investigate the dynamical properties of the following nonlinear di erence equation: xn+1 = xa nxn􀀀2xn􀀀3 + xnxn􀀀2xa n􀀀3 + 1 xa nxn􀀀3 + xnxa n􀀀3 + 1 ; n = 0; 1; : : :

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we investigate the dynamical properties of the following nonlinear di erence equation: xn+1 = xa nxn􀀀2xn􀀀3 + xnxn􀀀2xa n􀀀3 + 1 xa nxn􀀀3 + xnxa n􀀀3 + 1 ; n = 0; 1; : : :
📊
Temel Bulgular & Veri:In this paper, we investigate the dynamical properties of the following nonlinear di erence equation: xn+1 = xa nxn􀀀2xn􀀀3 + xnxn􀀀2xa n􀀀3 + 1 xa nxn􀀀3 + xnxa n􀀀3 + 1 ; n = 0; 1; : : :
💡
Sonuç & Katkı:In this paper, we investigate the dynamical properties of the following nonlinear di erence equation: xn+1 = xa nxn􀀀2xn􀀀3 + xnxn􀀀2xa n􀀀3 + 1 xa nxn􀀀3 + xnxa n􀀀3 + 1 ; n = 0; 1; : : :
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper, we investigate the dynamical properties of the following nonlinear di erence equation: xn+1 = xa nxn􀀀2xn􀀀3 + xnxn􀀀2xa n􀀀3 + 1 xa nxn􀀀3 + xnxa n􀀀3 + 1 ; n = 0; 1; : : :

🔖

Bu Makaleye Atıf Yap

DAŞ, E. B. S. (2022). Dynamics of a nonlinear rational difference equation. Hacettepe Journal of Mathematics and Statistics, Cilt: 42 - Sayı: 1, 9–14. https://ajindex.com/articles/530396

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (10)

  1. Agarwal R.P. Di erence Equations and Inequalities, Marcel Dekker, Newyork, NY, USA, 1st Edition, 1992
  2. Agarwal R.P. Di erence Equations and Inequalities, Marcel Dekker, Newyork, NY, USA, 2nd Edition, 2000
  3. Bayram, M. and Das, S. E.Global Asymptotic Stability of a Nonlinear Recursive Sequence, Int. Math. For., 5(22), 1083-1089, 2010
  4. Berenhaut, K.S., Foley, J.D. and Stevic, S. The Global Attractivity of the Rational Di erence Equation, Appl. Math. Lett., 20, 54-58, 2007
  5. Chen, Y. and Li, X. Dynamical Properties in a Fourth-order Nonlinear Di erence Equation, Adv. Di. Equ., ID.679409, 9 pages, 2010
  6. Das, S. E. Qualitative Behavior of a Fourth-order Rational Di erence Equation, in review, 2010
  7. Das, S. E. Global Asymptotic Stability for a Fourth-order Rational Di erence Equation, Int. Math. For., 5(32), 1591-1596, 2010
  8. Kocic, V. L. and Ladas, G. Global Behavior of Nonlinear Di erence Equations of Higher Order with Applications, Vol. 256 of Mathematics and its Applications, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1993
  9. Li, X. and Zhu, D. Global asymptotic stability of a nonlinear recursive sequence,Compt.Math.Appl., 17, 833- 838, 2004
  10. Li, X. Qualitative properties for a fourth-order rational di erence equation,J.Math.Anal.Appl., 311, 103 - 111, 2005.