On the Global Attractivity of a Max-Type Difference Equation
We investigate asymptotic behavior and periodic nature of positive solutions of the difference equation 𝑥𝑛=max{𝐴/𝑥𝑛−1,1/𝑥𝛼𝑛−3},𝑛=0,1,…, where 𝐴>0 and 0<𝛼<1. We prove that every positive solution of this difference equation approaches 𝑥=1 or is eventually periodic with period 2....
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2009-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2009/812674 |