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GLOBAL ASYMPTOTIC STABILITY OF A HIGHER ORDER DIFFERENCE EQUATION
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 Title & Authors
GLOBAL ASYMPTOTIC STABILITY OF A HIGHER ORDER DIFFERENCE EQUATION
Hamza, Alaa E.; Khalaf-Allah, R.;
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 Abstract
The aim of this work is to investigate the global stability, periodic nature, oscillation and the boundedness of solutions of the difference equation , n = 0, 1, 2,..., where A, B, C are nonnegative real numbers and , k are nonnegative in tegers, .
 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  crossref(new windwow)
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2.
V. L. Kocic and G. Ladas, Global behavior of nonlinear difference equations of higher order with applications, Mathematics and its Applications, 256. Kluwer Academic Publishers Group, Dordrecht, 1993

3.
R. E. Mickens, Difference equations, Theory and applications. Second edition. Van Nostrand Reinhold Co., New York, 1990

4.
X. Yang, W. Su, B. Chen, G. M. Megson, and D. J. Evans, On the recursive sequence $x_-n+1}=frac-ax_n+bx_-n-1}-c+dx_nx_-n-1}}$, Appl. Math. Comput. 162 (2005), no. 3, 1485-1497 crossref(new window)