Uniform exponential stability of linear almost periodic systems in Banach spaces

This article is devoted to the study linear non-autonomous dynamical systems possessing the property of uniform exponential stability. We prove that if the Cauchy operator of these systems possesses a certain compactness property, then the uniform asymptotic stability implies the uniform exponential...

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Bibliographic Details
Main Author: David N. Cheban
Format: Article
Language:English
Published: Texas State University 2000-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2000/29/abstr.html