Stieltjes differential systems with non monotonic derivators
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866916562916605952 |
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| author | Frigon, Marlène Tojo, F. Adrián F. |
| author_facet | Frigon, Marlène Tojo, F. Adrián F. |
| contents | 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 $g$-continuous functions, and an explicit expression of $g$-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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_06624 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stieltjes differential systems with non monotonic derivators Frigon, Marlène Tojo, F. Adrián F. Classical Analysis and ODEs 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 $g$-continuous functions, and an explicit expression of $g$-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. |
| title | Stieltjes differential systems with non monotonic derivators |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2501.06624 |