Global behavior of a rational difference equation with quadratic term

In this paper, we determine the forbidden set, introduce an explicit formula for the solutions and discuss the global behavior of all solutions of the difference equation Xn+1 = aXnXn-1 bXn - CXn-2, n = 0, 1, … where a, b, c are positive real numbers and the initial conditions X-2, X-1, X0 are real...

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Bibliographic Details
Main Author: Abo-Zeid R.
Format: Article
Language:English
Published: University of Kragujevac, Faculty of Technical Sciences Čačak, Serbia 2014-01-01
Series:Mathematica Moravica
Subjects:
Online Access:http://scindeks-clanci.ceon.rs/data/pdf/1450-5932/2014/1450-59321401081A.pdf