Boundedness character of a fourth order nonlinear difference equation

Stevo Stević

Chaos, Solitons & Fractals, 2009, vol. 40, issue 5, 2364-2369

Abstract: In this paper, among others, we give a complete picture of the boundedness character of the positive solutions of the following nonlinear difference equationxn+1=maxA,xnpxn-3p,n∈N0,where the parameters A and p are positive real numbers. This is a natural extension of a difference equation equivalent to an equation arising in automatic control theory. We present some new methods for investigating the boundedness character of nonlinear difference equations.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:40:y:2009:i:5:p:2364-2369

DOI: 10.1016/j.chaos.2007.10.030

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