Integral Characterizations for Uniform Stability with Growth Rates in Banach Spaces
Rovana Boruga, Mihail Megan, Daniela Maria-Magdalena Toth
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.
Topics & Concepts
MathematicsBanach spaceStability (learning theory)Pure mathematicsPolynomialMathematical analysisDiscrete mathematicsComputer scienceMachine learningStability and Controllability of Differential EquationsNonlinear Differential Equations AnalysisAdvanced Mathematical Modeling in Engineering