Global Asymptotic Stability of a Family of Nonlinear Difference Equations
2013 ◽
Vol 2013
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pp. 1-4
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Keyword(s):
In this note, we consider global asymptotic stability of the following nonlinear difference equationxn=(∏i=1v(xn-kiβi+1)+∏i=1v(xn-kiβi-1))/(∏i=1v(xn-kiβi+1)-∏i=1v(xn-kiβi-1)), n=0,1,…, whereki∈ℕ (i=1,2,…,v), v≥2,β1∈[-1,1],β2,β3,…,βv∈(-∞,+∞),x-m,x-m+1,…,x-1∈(0,∞), andm=max1≤i≤v{ki}. Our result generalizes the corresponding results in the recent literature and simultaneously conforms to a conjecture in the work by Berenhaut et al. (2007).
2010 ◽
Vol 2010
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pp. 1-10
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2006 ◽
Vol 182
(1)
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pp. 67-72
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2015 ◽
Vol 2015
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pp. 1-6
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2005 ◽
Vol 168
(2)
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pp. 981-989
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2010 ◽
Vol 2010
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pp. 1-17
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