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On the solutions and periodic nature of some systems of rational difference equations
Journal article   Open access  Peer reviewed

On the solutions and periodic nature of some systems of rational difference equations

M. M. El-Dessoky and E. M. Elsayed
Journal of computational analysis and applications, Vol.18(2), pp.206-218
01/02/2015
DOI: https://doi.org/10.1016/j.mcm.2011.11.058

Abstract

Computer Science Computer Science, Theory & Methods Mathematics Mathematics, Applied Physical Sciences Science & Technology Technology
In this paper, we deal with the existence of solutions and the periodicity character of the following systems of rational difference equations with order two x(n+1) = x(n)y(n-1)/y(n-1)+/- y(n) , y(n+1) = y(n)x(n-1)/x(n-1)+/- x(n) where the initial conditions x-1, x(0), y-1 and yo are nonzero real numbers.
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https://doi.org/10.1016/j.mcm.2011.11.058View
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