On the connection between Stieltjes differential equations and ordinary differential equations

In this work, we establish a link between Stieltjes differential equations and ordinary differential equations, allowing for the transformation of one into the other. As applications, we prove Binding's theorem for the equation xg′=f∘x, as well as a topological result used in the theory of diff...

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Detalles Bibliográficos
Autor: Fernández Tojo, Fernando Adrián
Tipo de recurso: artículo
Fecha de publicación:2025
País:España
Institución:Universidad de Santiago de Compostela (USC)
Repositorio:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
Idioma:inglés
OAI Identifier:oai:minerva.usc.gal:10347/46321
Acceso en línea:https://hdl.handle.net/10347/46321
Access Level:acceso abierto
Palabra clave:Existence
Sobolev spaces
Stieltjes derivative
Stieltjes differential equations
Descripción
Sumario:In this work, we establish a link between Stieltjes differential equations and ordinary differential equations, allowing for the transformation of one into the other. As applications, we prove Binding's theorem for the equation xg′=f∘x, as well as a topological result used in the theory of differential equations.