On the Recursive Sequence xn+1=A+xnp/xn−1r
The paper considers the boundedness character of positive solutions of the difference equation xn+1=A+xnp/xn−1r, n∈ℕ0, where A, p, and r are positive real numbers. It is shown that (a) If p2≥4r>4, or p≥1+r, r≤1, then this equation has positive unbounded solutions; (b) if p2<4r, or 2r≤p<1+r,...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2007-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2007/40963 |
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