Extending a theorem of Datko for evolutionary family

2020/09/09 by Trinh Viet Duoc, Duoc, Trinh Viet
Computer Science · Mathematics · #34D20 #34D23 #47D06 #Advanced Topology and Set Theory #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Dynamics and Fractals #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.2009.04178

openalex publication_date 2020/09/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note, we extend a Datko's result in the paper \cite[1972]Dat. In particular, the exponential stability of an evolutionary family is characterized by its pointwise trajectories in which the norm mapping of each pointwise trajectory lies in a Banach function space.

Citations

• One-parameter semigroups for linear evolution equations

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