Asian Research Journal of Mathematics

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Analytical Study of the Difference Equation `x_{n+1}=\dfrac{x_{n} x_{n-6}}{x_{n-5}\left(\pm 1 - x_nx_{n-6}\right)}`

  • Abdualrazaq Sanbo
  • Elsayed M. Elsayed
  • Faris Alzahrani

Asian Research Journal of Mathematics, Page 1-12
DOI: 10.9734/arjom/2019/v12i230081
Published: 16 February 2019

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Abstract


This paper is devoted to find the form of the solutions of a rational difference equations with arbitrary positive real initial conditions. Specific form of the solutions of two special cases of this equation are given.


Keywords:
  • Difference equations
  • Recursive sequences
  • Stability
  • Boundedness.
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How to Cite

Sanbo, A., Elsayed, E. M., & Alzahrani, F. (2019). Analytical Study of the Difference Equation `x_{n+1}=\dfrac{x_{n} x_{n-6}}{x_{n-5}\left(\pm 1 - x_nx_{n-6}\right)}`. Asian Research Journal of Mathematics, 12(2), 1-12. https://doi.org/10.9734/arjom/2019/v12i230081
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