Open Access
March 2013 Solution of a rational recursive sequences of order three
E.M. Elsayed
Funct. Approx. Comment. Math. 48(1): 7-17 (March 2013). DOI: 10.7169/facm/2013.48.1.1

Abstract

We obtain in this paper the solutions of the difference equations $$ x_{n+1}=\dfrac{ax_{n}x_{n-2}}{x_{n-1}(-b+cx_{n}x_{n-2})},\qquad n=0,1,..., $$ where $a$, $b$, $c$ are positive real numbers and the initial conditions are arbitrary positive real numbers.

Citation

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E.M. Elsayed. "Solution of a rational recursive sequences of order three." Funct. Approx. Comment. Math. 48 (1) 7 - 17, March 2013. https://doi.org/10.7169/facm/2013.48.1.1

Information

Published: March 2013
First available in Project Euclid: 25 March 2013

zbMATH: 1263.39003
MathSciNet: MR3086956
Digital Object Identifier: 10.7169/facm/2013.48.1.1

Subjects:
Primary: 39A10

Keywords: difference equations , periodic solution , recursive sequences , stability

Rights: Copyright © 2013 Adam Mickiewicz University

Vol.48 • No. 1 • March 2013
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