Relationship Between Different Types of Stability for Linear Almost Periodic Systems in Banach Spaces
Date
1999-11-27
Authors
Cheban, David N.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
For the linear equation x' = A(t)x with recurrent (almost periodic) coefficients in an arbitrary Banach space, we prove that the asymptotic stability of the null solution and of all limit equations implies the uniform stability of the null solution.
Description
Keywords
Non-autonomous linear dynamical systems, Global attractors, Almost periodic system, Stability, Asymptotic stability
Citation
Cheban, D. N. (1999). Relationship between different types of stability for linear almost periodic systems in Banach spaces. <i>Electronic Journal of Differential Equations, 1999</i>(46), pp. 1-9.
Rights
Attribution 4.0 International