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arXiv · 2501.06624

Stieltjes differential systems with non monotonic derivators

Marlène Frigon·F. Adrián F. Tojo
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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 $g$-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.

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BibTeXRIS

Marlène Frigon, F. Adrián F. Tojo. 2025-01-11. Stieltjes differential systems with non monotonic derivators. https://doi.org/10.1186/s13661-020-01345-0

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