Global Asymptotic Stability for a Fourth-Order Rational Difference Equation
Our aim is to investigate the global behavior of the following fourth-order rational difference equation: 𝑥𝑛+1=(𝑥𝑛𝑥𝑛−2𝑥𝑛−3+𝑥𝑛+𝑥𝑛−2+𝑥𝑛−3+𝑎)/(𝑥𝑛𝑥𝑛−2+𝑥𝑛𝑥𝑛−3+𝑥𝑛−2𝑥𝑛−3+1+𝑎), 𝑛=0,1,2,… where 𝑎∈[0,∞) and the initial values 𝑥−3,𝑥−2,𝑥−1,𝑥0∈(0,∞). To verify that the posi...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2009-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2009/616982 |
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