On the periodicity of solutions of max-type difference equation

On the periodicity of solutions of max-type difference equation

This paper is devoted to study the periodic nature of the solution of the following max‐type difference equation: xn+1=maxAnxn−1,xn−2,n=0,1,…, where the initial conditions x−2,x−1,x0 are arbitrary positive real numbers and {An}n=0∞ is a periodic sequence of period two. Copyright © 2014 John Wiley &a...

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Veröffentlicht in:Mathematical methods in the applied sciences 2015-10, Vol.38 (15), p.3295-3307
1. Verfasser: El-Dessoky, M. M.
Format: Artikel
Sprache:eng
Schlagworte:
boundedness
Difference equations
Initial conditions
Mathematical analysis
max-type difference equation
periodic solution
Real numbers
recursive sequences
Sequences
solution of difference equations
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Zusammenfassung:This paper is devoted to study the periodic nature of the solution of the following max‐type difference equation: xn+1=maxAnxn−1,xn−2,n=0,1,…, where the initial conditions x−2,x−1,x0 are arbitrary positive real numbers and {An}n=0∞ is a periodic sequence of period two. Copyright © 2014 John Wiley & Sons, Ltd.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.3296