arXiv subjects

Nilson C. Bernardes Jr

Publications and source records attributed to Nilson C. Bernardes Jr.

2 recordsLinked to original sources

arXiv2026

On the Stability of Generalized Hyperbolic Operators

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.

math.DS↗

arXiv2020

A generalized Grobman-Hartman theorem

We prove that any generalized hyperbolic operator on any Banach space is structurally stable. As a consequence, we obtain a generalization of the classical Grobman-Hartman theorem.

math.DS↗