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

Authors
Jung, Soon-Mo
Issue Date
Jun-2015
Publisher
SPRINGEROPEN
Keywords
difference equation; matrix difference equation; recurrence; Hyers-Ulam stability; approximation
Citation
ADVANCES IN DIFFERENCE EQUATIONS, pp.1 - 13
Journal Title
ADVANCES IN DIFFERENCE EQUATIONS
Start Page
1
End Page
13
URI
https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/9792
DOI
10.1186/s13662-015-0507-6
ISSN
1687-1847
Abstract
In this paper, we prove the Hyers- Ulam stability of the first- order linear homogeneous matrix difference equations (X) over right arrow (i) = A (X) over right arrow (i-1) and (X) over right arrow (i-1) = A (X) over right arrow (i) for all integers i is an element of Z.
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