Some results about the global attractivity of bounded solutions of difference equations with applications to periodic solutions

Mehdi Dehghan and Reza Mazrooei-Sebdani

Chaos, Solitons & Fractals, 2007, vol. 32, issue 4, 1398-1412

Abstract: We obtain some results about the global attractivity of bounded solutions of difference equationxn+1=f(xn,xn-1,…,xn-k),n=0,1,…where f is non-increasing or non-decreasing in each argument and every point in I is an equilibrium point of above equation where I is an invariant interval for this equation.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:32:y:2007:i:4:p:1398-1412

DOI: 10.1016/j.chaos.2005.11.068

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