Abstract
AbstractIn 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.
Funder
National Research Foundation
Publisher
Springer Science and Business Media LLC
Reference13 articles.
1. Aljoufi, L.S.; Almatrafi, M.B.; Seadawy, A.R.: Dynamical analysis of discrete time equations with a generalized order. Alex. Eng. J. 64, 937–945 (2023)
2. Banasiak, J.: Mathematical Modelling in One Dimension: An Introduction via Difference and Differential Equation. Cambridge University Press, Cambridge (2013)
3. Bohner, M.; Dannan, F.M.; Streipert, S.: A nonautonomous Beverton–Holt equation of higher order. J. Math. Anal. Appl. 457, 114–133 (2018)
4. Chen, S.; Jiang, X.: Modeling repayment behavior of consumer loan in portfolio across business cycle: a triplet Markov model approach. Complexity 2020, 5458941, 11 (2020)
5. Elsayed, E.M.; Ibrahim, T.F.: Periodicity and solutions for some systems of non-linear rational difference equations. Hacettepe J. Math. Stat. 44(6), 1361–1390 (2015)
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1. Dynamical Analysis of Thirtieth-Order Difference Equations;International Journal of Analysis and Applications;2024-03-18