Fernández Tojo, Fernando Adrián2026-03-112026-03-112025-06-01Tojo, F. A. F. (2025). On the connection between Stieltjes differential equations and ordinary differential equations. Journal of Mathematical Analysis and Applications, 546(1). https://doi.org/10.1016/J.JMAA.2025.1292480022-247Xhttps://hdl.handle.net/10347/46321In 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.eng© 2025 The Author. Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND licensehttps://creativecommons.org/licenses/by-nc-nd/4.0/ExistenceSobolev spacesStieltjes derivativeStieltjes differential equationsjournal article2025-12-1210.1016/J.JMAA.2025.1292481096-0813open access1096-0813