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Discrete Dynamics in Nature and Society
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On the Solutions of a System of Third-Order Rational Difference Equations

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Authors: Abeer M. Alotaibi; Mohd Salmi Md Noorani; M. A. El-Moneam;

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

Abstract

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.

Keywords

Numerical Analysis, Applied Mathematics, Public Health, Environmental and Occupational Health, Theory and Applications of Fractional Differential Equations, Computer science, Algorithm, Numerical Methods for Singularly Perturbed Problems, Disease Transmission and Population Dynamics, Health Sciences, Physical Sciences, QA1-939, FOS: Mathematics, Medicine, Discrete version of topics in analysis, Mathematics, Nonlinear Systems

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
10
Top 10%
Top 10%
Top 10%
gold
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