On boundedness of the solutions of the difference equation xn+1=xn−1/(p+xn)
We study the difference equation xn+1=xn−1/(p+xn), n=0,1,…, where initial values x−1,x0∈(0,+∞) and 0<p<1, and obtain the set of all initial values (x−1,x0)∈(0,+∞)×(0,+∞) such that the positive solution {xn}n=−1∞ is bounded. This answers the Open Problem 2 proposed by Kulenović and Ladas....
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2006-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/DDNS/2006/20652 |