Üçüncü Mertebeden Rasyonel Bir Fark Denkleminin Global Dinamikleri

Bu makalede negatif olmayan A, B, C, p1 ,p2 parametreleri ve negatif olmayan xxx - - 2 1 , , 0 başlangıç koşulları için x , , ,... B Cx x Ax n n 0 1 n p n p n 1 1 2 = 1 2 + + = - - lineer olmayan fark denkleminin global dinamiklerini araştıracağız. 2010 AMS-Konu Sınıflandırılması: 39A10, 39A20

Anahtar Kelimeler:

Fark denklem, Denge noktası, Global kararlılık, Tekrarlı dizi

Global Dynamics of a Third-Order Rational Difference Equation

In this paper, we will investigate the global dynamics of the following non-linear difference equation x , , ,... B Cx x Ax n n 0 1 n p n p n 1 1 2 = 1 2 + + = - - where the parameters A, B, C, p1 ,p2 are non-negative numbers and the initial values xxx - - 2 1 , , 0 are non-negative numbers. 2010 AMS-Mathematical Subject Classification Number: 39A10, 39A20

Keywords:

Difference equation, Global stability, Recursive sequence, Equilibrium point,

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