Behavior of Solutions of a Fourth Order Difference Equation

• Journal title : Kyungpook mathematical journal
• Volume 56, Issue 2,  2016, pp.507-516
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2016.56.2.507
Title & Authors
Behavior of Solutions of a Fourth Order Difference Equation
Abo-Zeid, Raafat;

Abstract
In this paper, we introduce an explicit formula for the solutions and discuss the global behavior of solutions of the difference equation $\small{x_{n+1}={\frac{ax_{n-3}}{b-cx_{n-1}x_{n-3}}}}$, $\small{n=0,1,{\ldots}}$ where a, b, c are positive real numbers and the initial conditions $\small{x_{-3}}$, $\small{x_{-2}}$, $\small{x_{-1}}$, $\small{x_0}$ are real numbers.
Keywords
difference equation;periodic solution;convergence;
Language
English
Cited by
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