An abstract Gronwall inequality on a Banach lattice
Classical Analysis and ODEs
2025-11-18 v5
Abstract
An abstract version of the celebrated inequality is described by means of the spectral bound of an operator defined on a Banach lattice. As a consequence, uniqueness and continuous dependence results for the general semilinear problem are established and a connection with the maximum principle is explored.
Cite
@article{arxiv.2308.03604,
title = {An abstract Gronwall inequality on a Banach lattice},
author = {Pablo Amster and Julián Epstein},
journal= {arXiv preprint arXiv:2308.03604},
year = {2025}
}
Comments
15 pages