Global Behavior of the Difference Equation xn+1=(p+xn-1)/(qxn+xn-1)
We study the following difference equation xn+1=(p+xn-1)/(qxn+xn-1), n=0,1,…, where p,q∈(0,+∞) and the initial conditions x-1,x0∈(0,+∞). We show that every positive solution of the above equation either converges to a finite limit or to a two cycle, which confirms that the Conjecture 6.10.4 proposed...
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| Hlavní autoři: | , , , |
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| Médium: | Artigo |
| Jazyk: | Inglês |
| Vydáno: |
Wiley
2010-01-01
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| Edice: | Abstract and Applied Analysis |
| On-line přístup: | http://dx.doi.org/10.1155/2010/237129 |
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