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On the positive solutions of the difference equation xn+1=(xn−1)/(1+xnxn−1)

✍ Scribed by C. Çinar


Book ID
108395821
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
159 KB
Volume
150
Category
Article
ISSN
0096-3003

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On the difference equation xn+1=α+βxn−1e
✍ H. El-Metwally; E.A. Grove; G. Ladas; R. Levins; M. Radin 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 317 KB

We study the global stability, the boundedness nature, and the periodic character of the positive solutions of the difference equation \[ x_{n+1}=\alpha+\beta x_{n-1} e^{-x_{n}} \quad, \quad n=0,1, \ldots \] which is interesting in its own right, but which may also be viewed as describing a popula