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Global Behavior of an Eighth-Order Nonlinear Recursive Sequence

Author

Listed:
  • Murdhy A. Aldawsari
  • Fayzah Awad Alshehri
  • Walid Refai
  • Atef Ismail
  • Abo-Zeid Raafat

Abstract

In this paper, we apply the similarity method to a nonlinear recursive sequence of order eight, where the parameters are nonzero real number sequences with real initial values. We derive Lie symmetry generators of the recursive sequence and derive a formula to its well-defined solutions. We study the global behavior of its solutions, and finally, we introduce the forbidden set of that recursive sequence.

Suggested Citation

  • Murdhy A. Aldawsari & Fayzah Awad Alshehri & Walid Refai & Atef Ismail & Abo-Zeid Raafat, 2026. "Global Behavior of an Eighth-Order Nonlinear Recursive Sequence," Journal of Mathematics, Hindawi, vol. 2026, pages 1-7, September.
    • Handle: RePEc:hin:jjmath:5406944
    DOI: 10.1155/jom/5406944
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