Authors: Stević, Stevo 
Diblík, Josef
Iričanin, Bratislav
Šmarda, Zdenk
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: On the difference equation x n+1 = x nx n-k/ (x n-k+1 (a + bx nx n-k))
Journal: Abstract and Applied Analysis
Volume: 2012
Issue Date: 18-Sep-2012
Rank: M21a
ISSN: 1085-3375
DOI: 10.1155/2012/108047
We show that the difference equation x n+1 = x nx n-k / (x n-k+1 (a + bx nx n-k)), n ∈ 0, where k ∈ , the parameters a, b and initial values x - i, i = 0, k 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.
Publisher: Hindawi
Project: Czech Grant Agency, Grant no. P201/10/1032
Council of Czech Government, Grant no. MSM 00 216 30519
Brno University of Technology, Grant no. FEKT-S-11-2-921
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