Asymptotic Stability for a Class of Nonlinear Difference Equations
2010 ◽
Vol 2010
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pp. 1-10
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Keyword(s):
We study the global asymptotic stability of the equilibrium point for the fractional difference equationxn+1=(axn-lxn-k)/(α+bxn-s+cxn-t),n=0,1,…, where the initial conditionsx-r,x-r+1,…,x1,x0are arbitrary positive real numbers of the interval(0,α/2a),l,k,s,tare nonnegative integers,r=max{l,k,s,t}andα,a,b,care positive constants. Moreover, some numerical simulations are given to illustrate our results.
2018 ◽
Vol 2018
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pp. 1-11
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2018 ◽
Vol 21
(2)
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pp. 354-375
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