GLOBAL ASYMPTOTIC STABILITY OF A HIGHER ORDER DIFFERENCE EQUATION

Title & Authors
GLOBAL ASYMPTOTIC STABILITY OF A HIGHER ORDER DIFFERENCE EQUATION
Hamza, Alaa E.; Khalaf-Allah, R.;

Abstract
The aim of this work is to investigate the global stability, periodic nature, oscillation and the boundedness of solutions of the difference equation $\small{x_{n+1}={\frac{Ax_{n-1}}{B+Cx_{n-2}{\iota}x_{n-2k}}$, n = 0, 1, 2,..., where A, B, C are nonnegative real numbers and $\small{\iota}$, k are nonnegative in tegers, $\small{\iota{\leq}k}$.
Keywords
difference equation;periodic solution;globally asymptotically stable;
Language
English
Cited by
1.
On the Difference equation xn+1=axn−l+bxn−k+cxn−sdxn−s−e, Mathematical Methods in the Applied Sciences, 2017, 40, 3, 535
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