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Analytic Solutions and Stability of Sixth Order Difference Equations

Author

Listed:
  • H. S. Alayachi
  • M. S. M. Noorani
  • A. Q. Khan
  • M. B. Almatrafi

Abstract

In the present paper, the global attractor, local stability, and boundedness of the solution of sixth order difference equations are investigated analytically and numerically. The exact solutions of three equations are presented by utilizing Fibonacci sequence. We also analyse the periodicity of a sixth order difference equation. The considered difference equations are given by where the initial conditions , and are arbitrary real numbers and the values , and are defined as positive real numbers.

Suggested Citation

  • H. S. Alayachi & M. S. M. Noorani & A. Q. Khan & M. B. Almatrafi, 2020. "Analytic Solutions and Stability of Sixth Order Difference Equations," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-12, September.
    • Handle: RePEc:hin:jnlmpe:1230979
    DOI: 10.1155/2020/1230979
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