On the Recursive Sequence 𝑥𝑛+𝟏=max{𝑥𝑛,𝐴}/𝑥𝟐𝑛𝑥𝑛−𝟏
We investigate the periodic nature of the solution of the max-type difference equation 𝑥𝑛+1=max{𝑥𝑛,𝐴}/𝑥2𝑛𝑥𝑛−1, 𝑛=0,1,2,…, where the initial conditions are 𝑥−1=𝐴𝑟1 and 𝑥0=𝐴𝑟2 for 𝐴∈(0,∞), and that 𝑟1 and 𝑟2 are positive rational numbers. The results in this paper solve the Open Problem proposed by Gr...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2010/583230 |
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