RT Journal Article
T1 On the connection between Stieltjes differential equations and ordinary differential equations
A1 Fernández Tojo, Fernando Adrián
K1 Existence
K1 Sobolev spaces
K1 Stieltjes derivative
K1 Stieltjes differential equations
AB 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.
PB Elsevier
SN 0022-247X
YR 2025
FD 2025-06-01
LK https://hdl.handle.net/10347/46321
UL https://hdl.handle.net/10347/46321
LA eng
NO Tojo, 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.2025.129248
NO The author was partially supported by “ERDF A way of making Europe” of the “European Union”; and by Xunta de Galicia, Spain, project ED431C 2023/12 and grant PID2020-113275 GB-I00 funded by MCIN/AEI/10.13039/501100011033, Spain.
DS Minerva
RD 6 jun 2026