Global Behavior of an Eighth-Order Nonlinear Recursive Sequence

Murdhy A. Aldawsari, Fayzah Awad Alshehri, Walid Refai, Atef Ismail and Abo-Zeid Raafat

Journal of Mathematics, 2026, vol. 2026, 1-7

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.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5406944

DOI: 10.1155/jom/5406944

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