Eventual shadowing property and topological stability for linear systems

Abstract In this paper, we show that every expansive linear homeomorphism on a Banach space with the eventual shadowing property is topologically stable. Moreover, for finite-dimensional Banach spaces, the eventual shadowing property and topological stability are equivalent.

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Publication Details

Journal
Journal of Applied Analysis
Published
2026-03-26
DOI
https://doi.org/10.1515/jaa-2025-0072
Primary Topic
Stability and Control of Uncertain Systems
Type
article
Field-Weighted Citation Impact
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article

Eventual shadowing property and topological stability for linear systems

Ha Le, Linh Vu
Journal of Applied Analysis
Stability and Control of Uncertain Systems
article

Eventual shadowing property and topological stability for linear systems

Ha Le, Linh Vu
article en

Abstract

Abstract In this paper, we show that every expansive linear homeomorphism on a Banach space with the eventual shadowing property is topologically stable. Moreover, for finite-dimensional Banach spaces, the eventual shadowing property and topological stability are equivalent.

Journal of Applied Analysis
University of Da Nang (VN)
Openalex Percentile: Top 6%
Stability and Control of Uncertain Systems
DOISourceOpenAlex
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Eventual shadowing property and topological stability for linear systems — Ha Le, Linh Vu · Journal of Applied Analysis (2026) | TGRS Research Map | TGRS