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math.CA2025
On the kernel of the Stieltjes derivative and the space of bounded Stieltjes-differentiable functions
Francisco J. Fernández, Ignacio Márquez Albés, F. Adrián F. Tojo +1
We investigate the existence and uniqueness of solutions to first-order Stieltjes differential problems, focusing on the role of the Stieltjes derivative and its kernel. Unlike the…
math.CA2021
On first and second order linear Stieltjes differential equations
Francisco J. Fernández, Ignacio Márquez Albés, F. Adrián F. Tojo
This work deals with the obtaining of solutions of first and second order Stieltjes differential equations. We define the notions of Stieltjes derivative on the whole domain of the…