Abstract
AbstractIn 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 a 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.
Funder
Ministerio de Economía, Industria y Competitividad, Gobierno de España
Agencia Estatal de Investigación
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
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