Uniform Exponential Stability of Linear Periodic Systems in a Banach Space
Date
2001-01-03
Authors
Cheban, David N.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
This article is devoted to the study of linear periodic dynamical systems, possessing the property of uniform exponential stability. It is proved that if the Cauchy operator of these systems possesses a certain compactness property, then the asymptotic stability implies the uniform exponential stability. We also show applications to different classes of linear evolution equations, such as ordinary linear differential equations in the space of Banach, retarded and neutral functional differential equations, some classes of evolution partial differential equations.
Description
Keywords
Non-autonomous linear dynamical systems, Global attractors, Periodic systems, Exponential stability, Asymptotically compact systems, Equations on Banach spaces
Citation
Cheban, D. N. (2001). Uniform exponential stability of linear periodic systems in a Banach space. Electronic Journal of Differential Equations, 2001(03), pp. 1-12.
Rights
Attribution 4.0 International