GLOBAL DYNAMICAL BEHAVIOURS AND PERIODICITY OF A CERTAIN QUADRATIC-RATIONAL DIFFERENCE EQUATION WITH DELAY

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TAŞDEMİR E., Göcen M., Soykan Y.

Miskolc Mathematical Notes, cilt.23, sa.1, ss.471-484, 2022 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 23 Sayı: 1
  • Basım Tarihi: 2022
  • Doi Numarası: 10.18514/mmn.2022.3996
  • Dergi Adı: Miskolc Mathematical Notes
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.471-484
  • Anahtar Kelimeler: Difference equations, periodicity, boundedness, semi-cycle, global asymptotic stability, rate of convergence, delay
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Kırklareli Üniversitesi Adresli: Evet

Özet

Our aim in this paper is to deal with the dynamics of following higher order difference equation xn+1 = A+B xn−m x 2 n where A,B > 0, and initial values are positive, and m = {1,2,…}. Furthermore, we discuss the periodicity, boundedness, semi-cycles, global asymptotic stability of solutions of these equations. We also handle the rate of convergence of solutions of these difference equations.