Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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BEHAVIOR OF SOLUTIONS OF A RATIONAL THIRD ORDER DIFFERENCE EQUATION

  • ABO-ZEID, R. (Department of Basic Science, The Higher Institute for Engineering & Technology)
  • Received : 2019.08.19
  • Accepted : 2019.12.16
  • Published : 2020.01.30
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Abstract

In this paper, we solve the difference equation $x_{n+1}={\frac{x_nx_{n-2}}{ax_n-bx_{n-2}}}$, n = 0, 1, …, where a and b are positive real numbers and the initial values x-2, x-1 and x0 are real numbers. We also find invariant sets and discuss the global behavior of the solutions of aforementioned equation.

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References

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