On a family of higher order recurrence relations: symmetries, formula solutions, periodicity and stability analysis

2023/03/25 by Mensah Folly-Gbetoula, Folly-Gbetoula, Mensah
Chemistry · Medicine · #Axial and Atropisomeric Chirality Synthesis #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Molecular spectroscopy and chirality

paper · pdf · doi:10.48550/arxiv.2303.14514

openalex publication_date 2023/03/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we present formula solutions of a family of difference equations of higher order. We discuss the periodic nature of the solutions and we investigate the stability character of the equilibrium points. We utilize Lie symmetry analysis as part of our approach together with some number theoretic functions. Our findings generalize certain results in the literature.

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