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Journal of Applied Mathematics and Computing
Erschienen in: Journal of Applied Mathematics and Computing 1-2/2021

11.01.2021 | Original Research

General solutions to systems of difference equations and some of their representations

verfasst von: Amira Khelifa, Yacine Halim

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2021

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Abstract

Here we solve the following system of difference equations
$$ x^{(j)}_{n+1}=\frac{F_{m+2}+F_{m+1}x^{((j+1)mod(p))}_{n-k}}{F_{m+3} +F_{m+2}x^{((j+1)mod(p))}_{n-k}},\quad n,m, p, k \in N_0, j=\overline{1,p}, $$
where \(\left( F_{n}\right) _{n=0}^{+\infty }\) is the Fibonacci sequence. We give a representation of its general solution in terms of Fibonacci numbers and the initial values. Some theoretical justifications related to the representation for the general solution are also given.
Vorheriger Artikel Global dynamics of a higher order difference equation with a quadratic term
Nächster Artikel Compensatory and overcompensatory dynamics in prey–predator systems exposed to harvest

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Metadaten
Titel
General solutions to systems of difference equations and some of their representations
verfasst von
Amira Khelifa
Yacine Halim
Publikationsdatum
11.01.2021
Verlag
Springer Berlin Heidelberg
Erschienen in
Journal of Applied Mathematics and Computing / Ausgabe 1-2/2021
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI
https://doi.org/10.1007/s12190-020-01476-8

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