Hyers–Ulam stability for a partial difference equation

Under the exponential trichotomy condition we study the Hyers–Ulam stability for the linear partial difference equation: \[ x_{n+1,m}=A_nx_{n,m}+B_{n,m}x_{n,m+1}+f(x_{n,m}),\qquad n,m\in \mathbb{Z} \] where $A_n$ is a $k\times k$ matrix whose elements are sequences of $n$, $B_{n,m}$ is a $k\times...

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Bibliographic Details
Main Authors: Konstantinos Konstantinidis, Garyfalos Papaschinopoulos, Christos Schinas
Format: Article
Language:English
Published: University of Szeged 2021-09-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=9350