Stieltjes differential systems with non monotonic derivators
Classical Analysis and ODEs
2025-01-14 v1
Abstract
In this work we study Stieltjes differential systems of which the derivators are allowed to change sign. This leads to the definition of the notion of \emph{function of controlled variation}, a characterization of precompact sets of -continuous functions, and an explicit expression of -exponential maps. Finally, we prove a Peano-type existence result and apply it to a model of fluid stratification on buoyant miscible jets and plumes.
Cite
@article{arxiv.2501.06624,
title = {Stieltjes differential systems with non monotonic derivators},
author = {Marlène Frigon and F. Adrián F. Tojo},
journal= {arXiv preprint arXiv:2501.06624},
year = {2025}
}