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Solution for Rational Systems of Difference Equations of Order Three

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Mathematics Department, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
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Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Academic Editor: Johnny Henderson
Mathematics 2016, 4(3), 53; https://doi.org/10.3390/math4030053
Received: 24 April 2016 / Revised: 23 August 2016 / Accepted: 24 August 2016 / Published: 3 September 2016
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. View Full-Text
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

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