Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.11274 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912911065088000 |
|---|---|
| author | Novo, Sylvia Obaya, Rafael Sanz, Ana M. |
| author_facet | Novo, Sylvia Obaya, Rafael Sanz, Ana M. |
| contents | 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 Carathéodory 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 Carathéodory vector field with equicontinuous $m$-bounds and bounded $l$-bounds, is given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_11274 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A new class of generalized ordinary differential equations with applications Novo, Sylvia Obaya, Rafael Sanz, Ana M. Dynamical Systems 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 Carathéodory 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 Carathéodory vector field with equicontinuous $m$-bounds and bounded $l$-bounds, is given. |
| title | A new class of generalized ordinary differential equations with applications |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2601.11274 |