Article ID: | iaor20124214 |
Volume: | 63 |
Issue: | 11 |
Start Page Number: | 1497 |
End Page Number: | 1503 |
Publication Date: | Jun 2012 |
Journal: | Computers and Mathematics with Applications |
Authors: | Popa Ioan-Lucian, Ceausu Traian, Megan Mihail |
Keywords: | Banach space, discrete-time systems, stability |
In this paper we investigate four concepts of exponential stability for difference equations in Banach spaces. Characterizations of these concepts are given. They can be considered as variants for the discrete‐time case of the classical results due to Barbashin and Datko . An illustrative example clarifies the relations between these concepts.