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On the solutions of some nonlinear systems of difference equations
Journal article   Open access  Peer reviewed

On the solutions of some nonlinear systems of difference equations

Elsayed M. Elsayed and Hamdy El-Metwally
Advances in difference equations, Vol.2013(1), p.161
07/06/2013

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & 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 three: x(n+1) = x(n)y(n-2)/y(n-1)(+/- 1 +/- x(n)y(n-2)), y(n+1) = y(n)x(n-2)/x(n-1)(+/- 1 +/- y(n)x(n-2)), where the initial conditions x(-2), x(-1), x(0), y(-2), y(-1) and y(0) are nonzero real numbers.
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https://doi.org/10.1186/1687-1847-2013-161View
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