On the Difference Equation xn+1=xnxn-k/(xn-k+1a+bxnxn-k)

We show that the difference equation xn+1=xnxn-k/xn-k+1(a+bxnxn-k),n∈ℕ0, where k∈ℕ, the parameters a, b and initial values x-i, i=0,k̅ are real numbers, can be solved in closed form considerably extending the results in the literature. By using obtained formulae, we investigate asymptotic behavior o...

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Bibliographic Details
Main Authors: Stevo Stević, Josef Diblík, Bratislav Iričanin, Zdenĕk Šmarda
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/108047
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