Global Asymptotic Stability of a Nonautonomous Difference Equation
Keyword(s):
Period 2
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We study the following nonautonomous difference equation:xn+1=(xnxn-1+pn)/(xn+xn-1),n=0,1,…, wherepn>0is a period-2 sequence and the initial valuesx-1,x0∈(0,∞). We show that the unique prime period-2 solution of the equation above is globally asymptotically stable.
1985 ◽
Vol 27
(1)
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pp. 66-72
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1999 ◽
Vol 09
(10)
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pp. 1941-1955
1986 ◽
Vol 27
(3)
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pp. 346-360
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2010 ◽
Vol 2010
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pp. 1-15
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2008 ◽
Vol 2008
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pp. 1-12
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