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

Stevo Stević, Josef Diblík, Bratislav Iričanin and Zdenĕk Šmarda

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: 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 of well‐defined solutions of the equation.

Date: 2012
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https://doi.org/10.1155/2012/108047

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:108047

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