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GLOBAL ASYMPTOTIC STABILITY OF A SECOND ORDER RATIONAL DIFFERENCE EQUATION  

Abo-Zeid, R. (Department of Basic Science, faculty of Engineering, October 6 university)
Publication Information
Journal of applied mathematics & informatics / v.28, no.3_4, 2010 , pp. 797-804 More about this Journal
Abstract
The aim of this paper is to investigate the global stability, periodic nature, oscillation and the boundedness of solutions of the difference equation $x_{n+1}\;=\;\frac{A+Bx_{n-1}}{C+Dx_n^2}$, n = 0, 1, 2, ... where A, B are nonnegative real numbers and C, D > 0.
Keywords
Difference equation; periodic solution; globally asymptotically stable;
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