Abstract:In this paper, we deal with the system that has solutions and the periodicity character of the following systems of rational difference equations with order three
“…Thus, there has recently been an increase in interest in the study of qualitative analysis of systems of difference equations and rational difference equations. Although the form of difference equations is quite straightforward, it is extremely challenging to fully comprehend the behaviors of their solutions, see [1]- [7].…”
Section: Introductionmentioning
confidence: 99%
“…El-Dessoky [11] investigated the form of the solutions and the periodicity character of the following systems :…”
In this paper we study the form of the solution of the following systems of difference equations of order two xn+1 = (x_{n}*y{n−1})/(x_{n}+y_{n-1}) , yn+1 =( y_{n}*x_{n-1})/(\pm y_{n} \pm x_{n-1})
with nonzero real numbers initial conditions.
“…Thus, there has recently been an increase in interest in the study of qualitative analysis of systems of difference equations and rational difference equations. Although the form of difference equations is quite straightforward, it is extremely challenging to fully comprehend the behaviors of their solutions, see [1]- [7].…”
Section: Introductionmentioning
confidence: 99%
“…El-Dessoky [11] investigated the form of the solutions and the periodicity character of the following systems :…”
In this paper we study the form of the solution of the following systems of difference equations of order two xn+1 = (x_{n}*y{n−1})/(x_{n}+y_{n-1}) , yn+1 =( y_{n}*x_{n-1})/(\pm y_{n} \pm x_{n-1})
with nonzero real numbers initial conditions.
In this paper, we get the form of the solutions of the following difference equation systems of order three,where the initial conditions z −2, z −1, z 0 , w −2, w −1, w 0 are arbitrary non-zero real numbers.
In this article, we study the form of the solutions of the system of difference equations), with the initial conditions are real numbers. Also, we give the numerical examples of some of difference equations and got some related graphs and figures using by Matlab.
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