On the Solutions of a System of Third-Order Rational Difference Equations

On the Solutions of a System of Third-Order Rational Difference Equations

The structure of the solutions for the system nonlinear difference equations xn+1=ynyn-2/(xn-1+yn-2), yn+1=xnxn-2/(±yn-1±xn-2), n=0,1,…, is clarified in which the initial conditions x-2, x-1, x0, y-2, y-1, y0 are considered as arbitrary positive real numbers. To exemplify the theoretical discussion,...

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Veröffentlicht in:Discrete dynamics in nature and society 2018-01, Vol.2018 (2018), p.1-11
Hauptverfasser: Alotaibi, A. M., El-Moneam, M. A., Noorani, Mohd Salmi Md
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Difference equations
Differential equations
Economic models
Initial conditions
Nonlinear equations
Real numbers
Theory
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Zusammenfassung:The structure of the solutions for the system nonlinear difference equations xn+1=ynyn-2/(xn-1+yn-2), yn+1=xnxn-2/(±yn-1±xn-2), n=0,1,…, is clarified in which the initial conditions x-2, x-1, x0, y-2, y-1, y0 are considered as arbitrary positive real numbers. To exemplify the theoretical discussion, some numerical examples are presented.
ISSN:1026-0226
1607-887X
DOI:10.1155/2018/1743540