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The Difference Equation xn= axn−1+ b

✍ Scribed by LAWRENCE E. SPENCE


Book ID
124067160
Publisher
National Council of Teachers of Mathematics
Year
1990
Weight
578 KB
Volume
83
Category
Article
ISSN
0025-5769

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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