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Discrete Dynamics in Nature and Society
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Discrete Dynamics in Nature and Society
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On the Solutions of a General System of Difference Equations

حول حلول نظام عام لمعادلات الاختلاف
Authors: E. M. Elsayed; M. M. El‐Dessoky; Abdullah Alotaibi;

On the Solutions of a General System of Difference Equations

Abstract

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.

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Keywords

Applied Mathematics, Bifurcations in Planar Polynomial Systems, Public Health, Environmental and Occupational Health, periodicity, general systems of difference equations, Theory and Applications of Fractional Differential Equations, Computer science, Algorithm, Disease Transmission and Population Dynamics, Health Sciences, Physical Sciences, QA1-939, FOS: Mathematics, Medicine, Geometry and Topology, General theory of difference equations, Periodic solutions of difference equations, Functional Differential Equations, Mathematics, Nonlinear Systems

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    influence
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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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!
16
Top 10%
Top 10%
Top 10%
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