On the Stability of Generalized Hyperbolic Operators
Dynamical Systems
2026-03-26 v2 Functional Analysis
Abstract
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.
Keywords
Cite
@article{arxiv.2404.10410,
title = {On the Stability of Generalized Hyperbolic Operators},
author = {Nilson C. Bernardes},
journal= {arXiv preprint arXiv:2404.10410},
year = {2026}
}