Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9503068 | Journal of Mathematical Analysis and Applications | 2005 | 15 Pages |
Abstract
We present several conditions sufficient for global stability of the zero solution of nonautonomous difference equation xn+1=qxn+fn(xn,â¦,xnâk), nâZ, when the nonlinearities fn satisfy a sort of negative feedback condition. Moreover, for every kâN, we indicate qk such that one of our stability conditions is sharp if qâ(0,qk]. We apply our results to discrete versions of Nicholson's blowflies equation, the Mackey-Glass equations, and the Wazewska and Lasota equation.
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Physical Sciences and Engineering
Mathematics
Analysis
Authors
Victor Tkachenko, Sergei Trofimchuk,