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Journal of Applied Mathematics and Computing

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28-10-2021 | Original Research

On the behavior of the solutions of an abstract system of difference equations

Authors: Mounira Boulouh, Nouressadat Touafek, Durhasan Turgut Tollu

Published in: Journal of Applied Mathematics and Computing | Issue 5/2022

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Abstract

The aim of the present work is to study of the behavior of the solutions of the following abstract system of difference equations defined by

$$\begin{aligned} x_{n+1}=f_{1}(x_{n},x_{n-1})+f_{2}(y_{n},y_{n-1}),\,y_{n+1}=g_{1}(x_{n},x_{n-1})+g_{2}(y_{n},y_{n-1}) \end{aligned}$$

where $n\in \mathbb {N}_{0}$, the initial values $x_{-1}$, $x_{0}$, $y_{-1}$ and $y_{0}$ are positive real numbers, and the functions $ f_{1},\;f_{2},\;g_{1},\;g_{2}:(0,+\infty )^{2}\rightarrow (0,+\infty )$ are continuous and homogeneous of degree zero.

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Title: On the behavior of the solutions of an abstract system of difference equations
Authors: Mounira Boulouh
Nouressadat Touafek
Durhasan Turgut Tollu
Publication date: 28-10-2021
Publisher: Springer Berlin Heidelberg
Published in: Journal of Applied Mathematics and Computing / Issue 5/2022
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-021-01641-7

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