Dynamics of Recursive Sequence of Order Two

• Journal title : Kyungpook mathematical journal
• Volume 50, Issue 4,  2010, pp.483-497
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2010.50.4.483
Title & Authors
Dynamics of Recursive Sequence of Order Two
Elsayed, Elsayed Mohammed;

Abstract
In this paper we study some qualitative behavior of the solutions of the difference equation $\small{x_{n+1}=ax_n=\frac{bx_n}{cx_n-dx_{n-1}}}$, n=0,1,$\small{\ldots}$, where the initial conditions x-1, x0 are arbitrary real numbers and a, b, c, d are positive constants with $\small{cx_0-dx_{-1}\neq0}$.
Keywords
difference equations;stability;periodicity;solution of the difference equation;
Language
English
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