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Solution for Rational Systems of Difference Equations of Order Three

Author

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  • Mohamed M. El-Dessoky

    (Mathematics Department, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
    Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt)

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.

Suggested Citation

  • Mohamed M. El-Dessoky, 2016. "Solution for Rational Systems of Difference Equations of Order Three," Mathematics, MDPI, vol. 4(3), pages 1-12, September.
    • Handle: RePEc:gam:jmathe:v:4:y:2016:i:3:p:53-:d:77382
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    References listed on IDEAS

    as
    1. E. M. Elsayed & M. M. El-Dessoky & Abdullah Alotaibi, 2012. "On the Solutions of a General System of Difference Equations," Discrete Dynamics in Nature and Society, Hindawi, vol. 2012, pages 1-12, April.
    2. Lin-Xia Hu & Xiu-Mei Jia, 2014. "Global Asymptotic Stability of a Rational System," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, August.
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