[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2007.44.3.439

GLOBAL ASYMPTOTIC STABILITY OF A HIGHER ORDER DIFFERENCE EQUATION

Hamza, Alaa E. (DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCE, CAIRO UNIVERSITY)
Khalaf-Allah, R. (DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCE, HELWAN UNIVERSITY)

Publication Information

Bulletin of the Korean Mathematical Society / v.44, no.3, 2007 , pp. 439-445 More about this Journal

Abstract

The aim of this work is to investigate the global stability, periodic nature, oscillation and the boundedness of solutions of the difference equation $x_{n+1}={\frac{Ax_{n-1}}{B+Cx_{n-2}{\iota}x_{n-2k}$ , n = 0, 1, 2,..., where A, B, C are nonnegative real numbers and $\iota$ , k are nonnegative in tegers, $\iota{\leq}k$ .

Keywords

difference equation; periodic solution; globally asymptotically stable;

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Reference

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