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. <i>Electronic Journal of Differential Equations, 2001</i>(03), pp. 1-12.

Rights

Attribution 4.0 International

Rights Holder

Rights License