On the kernel of the Stieltjes derivative and the space of bounded Stieltjes-differentiable functions

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 classical case, the kernel of the Stieltjes derivative operator is nontrivial, leading to non-uniqueness issues in Cauc...

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Egile Nagusiak:	Francisco Fernández, Ignacio Márquez Albés, F. Adrián Tojo, Carlos Villanueva Mariz
Formatua:	Artigo
Hizkuntza:	Inglês
Argitaratua:	University of Szeged 2025-08-01
Saila:	Electronic Journal of Qualitative Theory of Differential Equations
Gaiak:	stieltjes derivative kernel of the derivative stieltjes differential equations uniqueness cauchy problem
Sarrera elektronikoa:	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=11600
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