Hyers-Ulam stability of the first-order matrix difference equations

被引：0
作者：
Soon-Mo Jung
机构：
[1] Hongik University,Mathematics Section, College of Science and Technology
来源：
Advances in Difference Equations | / 2015卷
关键词：
difference equation; matrix difference equation; recurrence; Hyers-Ulam stability; approximation; 39A45; 39B82; 39A06; 39B42;
D O I：
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摘要：
In this paper, we prove the Hyers-Ulam stability of the first-order linear homogeneous matrix difference equations x→i=Ax→i−1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\vec{x}_{i} = \mathbf{A} \vec{x}_{i-1}$\end{document} and x→i−1=Ax→i\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\vec{x}_{i-1} = \mathbf{A} \vec{x}_{i}$\end{document} for all integers i∈Z\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$i \in\mathbf{Z}$\end{document}.
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