[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5666/KMJ.2016.56.2.507

Behavior of Solutions of a Fourth Order Difference Equation

Abo-Zeid, Raafat (Department of Basic Science, The Valley Higher Institute for Engineering & Technology)

Publication Information

Kyungpook Mathematical Journal / v.56, no.2, 2016 , pp. 507-516 More about this Journal

Abstract

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

Keywords

difference equation; periodic solution; convergence;

Citations & Related Records

Reference

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