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2012 On the Difference Equation x n + 1 = x n x n - k / ( x n - k + 1 a + b x n x n - k )
Stevo Stević, Josef Diblík, Bratislav Iričanin, Zdenĕk Šmarda
Abstr. Appl. Anal. 2012: 1-9 (2012). DOI: 10.1155/2012/108047

Abstract

We show that the difference equation x n + 1 = x n x n - k / x n - k + 1 ( a + b x n x 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.

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Stevo Stević. Josef Diblík. Bratislav Iričanin. Zdenĕk Šmarda. "On the Difference Equation x n + 1 = x n x n - k / ( x n - k + 1 a + b x n x n - k ) ." Abstr. Appl. Anal. 2012 1 - 9, 2012. https://doi.org/10.1155/2012/108047

Information

Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1246.39011
Digital Object Identifier: 10.1155/2012/108047

Rights: Copyright © 2012 Hindawi

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