On the Asymptotic Behavior of a Difference Equation with Maximum
We study the asymptotic behavior of positive solutions to the difference equation xn=max{A/xn-1α,B/xn−2β}, n=0,1,…, where 0<α, β<1, A,B>0. We prove that every positive solution to this equation converges to x∗=max{A1/(α+1),B1/(β+1)}.
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2008-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2008/243291 |
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