Publication Date:
2010-01-01
Description:
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.
Print ISSN:
1026-0226
Electronic ISSN:
1607-887X
Topics:
Mathematics
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