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Volume 4
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Article

Solution for Rational Systems of Difference Equations of Order Three

by
Mohamed M. El-Dessoky
1,2
1
Mathematics Department, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
2
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Mathematics 2016, 4(3), 53; https://doi.org/10.3390/math4030053
Submission received: 24 April 2016 / Revised: 23 August 2016 / Accepted: 24 August 2016 / Published: 3 September 2016
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Abstract

In this paper, we consider the solution and periodicity of the following systems of difference equations: x n + 1 = y n − 2 − 1 + y n − 2 x n − 1 y n , y n + 1 = x n − 2 ± 1 ± x n − 2 y n − 1 x n , with initial conditions x − 2 , x − 1 , x 0 , y − 2 , y − 1 , and y 0 are nonzero real numbers.
Keywords: Keywords; difference equations; recursive sequences; stability; periodic solution; system of difference equations Keywords; difference equations; recursive sequences; stability; periodic solution; system of difference equations

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MDPI and ACS Style

El-Dessoky, M.M. Solution for Rational Systems of Difference Equations of Order Three. Mathematics 2016, 4, 53. https://doi.org/10.3390/math4030053

AMA Style

El-Dessoky MM. Solution for Rational Systems of Difference Equations of Order Three. Mathematics. 2016; 4(3):53. https://doi.org/10.3390/math4030053

Chicago/Turabian Style

El-Dessoky, Mohamed M. 2016. "Solution for Rational Systems of Difference Equations of Order Three" Mathematics 4, no. 3: 53. https://doi.org/10.3390/math4030053

APA Style

El-Dessoky, M. M. (2016). Solution for Rational Systems of Difference Equations of Order Three. Mathematics, 4(3), 53. https://doi.org/10.3390/math4030053

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