Mathematics > Classical Analysis and ODEs
[Submitted on 11 Jan 2025
]
Title: Stieltjes differential systems with non monotonic derivators
Title: 斯特尔蒂耶斯微分系统与非单调导数器
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.
Submission history
From: Fernando Adrián Fernández Tojo [view email][v1] Sat, 11 Jan 2025 19:19:49 UTC (23 KB)
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