Uniform polynomial stability of evolution families via function spaces

Abstract In this paper, we characterize the uniform polynomial stability of evolution families by means of Banach spaces of sequences or functions. This approach provides a framework that not only unifies existing versions of Barbashin-type theorems, but also provides new characterizations.

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Publication Details

Journal
Georgian Mathematical Journal
Published
2026-05-27
DOI
https://doi.org/10.1515/gmj-2026-3007
Primary Topic
Optimization and Variational Analysis
Type
article
Field-Weighted Citation Impact
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article

Uniform polynomial stability of evolution families via function spaces

Pham Viet Hai
Georgian Mathematical Journal
Optimization and Variational Analysis
article

Uniform polynomial stability of evolution families via function spaces

Pham Viet Hai
article en

Abstract

Abstract In this paper, we characterize the uniform polynomial stability of evolution families by means of Banach spaces of sequences or functions. This approach provides a framework that not only unifies existing versions of Barbashin-type theorems, but also provides new characterizations.

Georgian Mathematical Journal
Hanoi University (VN), Hanoi University of Science and Technology (VN)
Openalex Percentile: Top 4%
Optimization and Variational Analysis
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