On the Solutions of Systems of Rational Difference Equations

  • E. M. Elsayed Department of Mathematics, Faculty of Sciences, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, KSA https://orcid.org/0000-0003-0894-8472
  • J. G. Al-Juaid Department of Mathematics, Faculty of Sciences, Mansoura University, Mansoura 35516, Egypt https://orcid.org/0000-0001-6062-5916
  • H. Malaikah Department of Mathematics, Faculty of Sciences, Taif University, P. O. Box 11099, Taif 21944, KSA
Keywords: Solutions of difference equations, periodic solution, recursive sequences.

Abstract

In this paper we study the form of the solutions of the following systems of difference equations

w_{n+1}=\frac{s_{n}(w_{n-3}+s_{n-4})}{s_{n-4}+w_{n-3} -s_{n}} ,   s_{n+1}=\frac{w_{n-2}(w_{n-2}+s_{n-3})}{2*w_{n-2}+s_{n-3}}.

w_{n+1}=\frac{(s_{n-4} - w_{n-3})s_{n}}{s_{n-4} -w_{n-3} +s_{n}} ,   s_{n+1}=\frac{(s_{n-3} - w_{n-2})w_{n-2}}{s_{n-3}}.

With nonzero real numbers initial conditions.

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Published
2022-11-01
How to Cite
Elsayed, E., Al-Juaid, J., & Malaikah, H. (2022). On the Solutions of Systems of Rational Difference Equations. Journal of Progressive Research in Mathematics, 19(2), 49-59. Retrieved from http://www.scitecresearch.com/journals/index.php/jprm/article/view/2166
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