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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| Format: | article |
| Publication Date: | 2025 |
| Country: | España |
| Institution: | Universidad de Santiago de Compostela (USC) |
| Repository: | Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela |
| Language: | English |
| OAI Identifier: | oai:minerva.usc.gal:10347/46321 |
| Online Access: | https://hdl.handle.net/10347/46321 |
| Access Level: | Open access |
| Keyword: | Existence Sobolev spaces Stieltjes derivative Stieltjes differential equations |
| Summary: | 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. |
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