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On the solutions and periodicity of some rational systems of difference equations
Journal article

On the solutions and periodicity of some rational systems of difference equations

Elsayed M. Elsayed
Bulletin mathématiques de la Société des sciences mathématiques de Roumanie, Vol.60(2), pp.159-171
01/01/2017

Abstract

Mathematics Physical Sciences Science & Technology
In this paper we deal with the form of the solutions and the periodicity nature of the following systems of nonlinear difference equations x(n+1) = x(n)-3y(n)-2/y(n)(+/- 1 +/- x(n)-1y(n)-2x(n)-3 , y(n+1) = x(n)-2y(n)-3/x(n)(+/- 1 +/- y(n)-1x(n)-2y(n-3), where the initial conditions x-3, x-2, x-1, x0 Y-3; Y-2; Y-1; and y0 are nonzero real numbers.

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