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2014 Global Asymptotic Stability of a Nonautonomous Difference Equation
Mehmet Gümüş, Özkan Öcalan
J. Appl. Math. 2014: 1-5 (2014). DOI: 10.1155/2014/395954

Abstract

We study the following nonautonomous difference equation: xn+1=(xnxn-1+pn)/(xn+xn-1), n=0,1,, where pn>0 is a period-2 sequence and the initial values x-1,x0(0,). We show that the unique prime period-2 solution of the equation above is globally asymptotically stable.

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Mehmet Gümüş. Özkan Öcalan. "Global Asymptotic Stability of a Nonautonomous Difference Equation." J. Appl. Math. 2014 1 - 5, 2014. https://doi.org/10.1155/2014/395954

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131569
MathSciNet: MR3251577
Digital Object Identifier: 10.1155/2014/395954

Rights: Copyright © 2014 Hindawi

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