Dynamics of a Higher-Order Nonlinear Difference Equation
We consider the higher-order nonlinear difference equation 𝑥𝑛+1=(𝛼+𝑥𝑛)/(𝐴+𝐵𝑥𝑛+𝑥𝑛−𝑘), 𝑛=0,1,…, where parameters are positive real numbers and initial conditions 𝑥−𝑘,…,𝑥0 are nonnegative real numbers, 𝑘≥2. We investigate the periodic character, the invariant intervals, and the global asymptotic stabil...
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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/10.1155/2010/534947 |
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