On the Stability of Generalized Hyperbolic Operators

Fuente: arXiv
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Auteur principal: Bernardes Jr, Nilson C.
Format: Preprint
Publié: 2024
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author Bernardes Jr, Nilson C.
author_facet Bernardes Jr, Nilson C.
contents Our main goal is to prove that every invertible generalized hyperbolic operator on a Banach space has a stability property, known as time-dependent stability, which was introduced by J. M. Franks (Invent. Math. 24 (1974), 163--172) and is stronger than structural stability.
format Preprint
id arxiv_https___arxiv_org_abs_2404_10410
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On the Stability of Generalized Hyperbolic Operators
Bernardes Jr, Nilson C.
Dynamical Systems
Functional Analysis
Primary 47A99, 37C20, 37B25. Secondary 47A16
Our main goal is to prove that every invertible generalized hyperbolic operator on a Banach space has a stability property, known as time-dependent stability, which was introduced by J. M. Franks (Invent. Math. 24 (1974), 163--172) and is stronger than structural stability.
title On the Stability of Generalized Hyperbolic Operators
topic Dynamical Systems
Functional Analysis
Primary 47A99, 37C20, 37B25. Secondary 47A16
url https://arxiv.org/abs/2404.10410