On the Solutions of a General System of Difference Equations

We deal with the solutions of the systems of the difference equations xn+1=1/xn-pyn-p, yn+1=xn-pyn-p/xn-qyn-q, and xn+1=1/xn-pyn-pzn-p, yn+1=xn-pyn-pzn-p/xn-qyn-qzn-q, zn+1=xn-qyn-qzn-q/xn-ryn-rzn-r, with a nonzero real numbers initial conditions. Also, the periodicity of the general system of k var...

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Veröffentlicht in:	Discrete Dynamics in Nature and Society 2012-01, Vol.2012 (2012), p.185-196-214
Hauptverfasser:	Elsayed, E. M., El-Dessoky, M. M., Alotaibi, Abdullah
Format:	Artikel
Sprache:	eng
Schlagworte:	Difference equations Dynamical systems Dynamics Initial conditions Mathematical models Real numbers Studies Zinc
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Beschreibung
Zusammenfassung:	We deal with the solutions of the systems of the difference equations xn+1=1/xn-pyn-p, yn+1=xn-pyn-p/xn-qyn-q, and xn+1=1/xn-pyn-pzn-p, yn+1=xn-pyn-pzn-p/xn-qyn-qzn-q, zn+1=xn-qyn-qzn-q/xn-ryn-rzn-r, with a nonzero real numbers initial conditions. Also, the periodicity of the general system of k variables will be considered.
ISSN:	1026-0226 1607-887X
DOI:	10.1155/2012/892571