An inequality concerning the growth bound of a discrete evolution family on a complex Banach space

DOI10.1080/10236198.2016.1162160OpenAlexW2306304752MaRDI QIDQ4991991

Constantin Buşe, Olivia Saierli, Donal O'Regan

Publication date: 4 June 2021

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.09579

zbMATH Keywords

uniform exponential stabilityfamilies of operatorsgrowth boundsconvolution operator on sequence spacesexponentially bounded evolution

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30) Operator theory (47-XX)

Related Items (3)

An inequality concerning the growth bound of an evolution family and the norm of a convolution operator ⋮ Asymptotic behavior of discrete evolution families in Banach spaces ⋮ Discrete integral conditions for weak trajectories and asymptotic stability for operators in Banach spaces

Cites Work

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• Stability Radius and Internal Versus External Stability in Banach Spaces: An Evolution Semigroup Approach
• Uniform Asymptotic Stability of Evolutionary Processes in a Banach Space
• Uniform stability of periodic discrete systems in Banach spaces

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