A new class of generalized ordinary differential equations with applications
Dynamical Systems
2026-02-19 v2
Abstract
The space of parametric b-measures endowed with appropriate topologies is introduced to define a new class of generalized ODEs given by parametric b-measures. This framework offers a new approach for dealing with precompact families of Carath\'eodory ODEs using nonautonomous dynamical systems techniques. An application to the study of the dynamics of the fast variables of a slow-fast system of ODEs, where the fast motion is determined by a Carath\'eodory vector field with equicontinuous -bounds and bounded -bounds, is given.
Cite
@article{arxiv.2601.11274,
title = {A new class of generalized ordinary differential equations with applications},
author = {Sylvia Novo and Rafael Obaya and Ana M. Sanz},
journal= {arXiv preprint arXiv:2601.11274},
year = {2026}
}