Abstract
The aim of this paper is to present some integral characterizations for the concept of uniform stability with growth rates in Banach spaces. In this sense, we prove necessary and sufficient conditions (of Barbashin and Datko type) for an evolution operator to be uniform h- stable. As particular cases of this notion, we obtain four characterizations for uniform exponential stability and two characterizations for uniform polynomial stability.
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis
Reference19 articles.
1. Introduction in the Theory of Stability;Barbashin,1967
2. Stability of Solutions of Differential Equations in Banach Spaces;Daleckiĭ,1974
3. Stability of Nonautonomous Differential Equations;Barreira,2008
4. Uniform Asymptotic Stability of Evolutionary Processes in a Banach Space
5. The Strong Variant of a Barbashin Theorem on Stability of Solutions for Non-autonomous Differential Equations in Banach Spaces
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