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

Autor:	Mensah Folly-Gbetoula
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	39A10 39A13 39A99 Applied mathematics. Quantitative methods T57-57.97 Mathematics QA1-939
Zdroj:	Arabian Journal of Mathematics, Vol 12, Iss 3, Pp 541-551 (2023)
Druh dokumentu:	article
ISSN:	2193-5343 2193-5351
DOI:	10.1007/s40065-023-00438-9
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/656cb3efdac24d92a0c0bfa06a87d309 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF