A simplification and generalization of Elsayed's two-dimensional system of third order difference equations

2019/10/18 by Mensah Folly-Gbetoula, Folly-Gbetoula, M., Darlison Nyirenda +1
Computer Science · Medicine · Physics and Astronomy · #FOS: Mathematics #General Mathematics (math.GM) #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Waves and Solitons #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1910.09350

openalex publication_date 2019/10/18 · openalex created_date 2019/10/25 · openalex updated_date 2026/07/28

Abstract

A full Lie analysis of a system of third-order difference equations is performed. Explicit solutions, expressed in terms of the initial values, are derived. Furthermore, we give sufficient conditions for existence of 2-periodic and 4-periodic solutions in certain cases. Our results generalize and simplify the work by Elsayed and Ibrahim [E. M. Elsayed and T.F. Ibrahim, Periodicity and solutions for some systems of nonlinear rational difference equations, Hacettepe Journal of Mathematics and Statistics 44:6 (2015), 1361-1390].

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