RT Journal Article
T1 Existence and uniqueness of solution for Stieltjes differential equations with several derivators
A1 Márquez Albés, Ignacio
A1 Fernández Tojo, Fernando Adrián
K1 Lebesgue–Stieltjes integral
K1 Stieltjes derivative
K1 Uniqueness
K1 Existence
AB In this paper, we study some existence and uniqueness results for systems of differential equations in which each of equations of the system involves a different Stieltjes derivative. Specifically, we show that this problems can only have one solution under the Osgood condition, or even, the Montel–Tonelli condition. We also explore some results guaranteeing the existence of solution under these conditions. Along the way, we obtain some interesting properties for the Lebesgue– Stieltjes integral associated to a finite sum of nondecreasing and left–continuous maps, as well as a characterization of the pseudometric topologies defined by this type of maps
PB Springer
SN 1660-5446
YR 2021
FD 2021
LK http://hdl.handle.net/10347/29329
UL http://hdl.handle.net/10347/29329
LA eng
NO Albés, I.M., Tojo, F.A.F. Existence and Uniqueness of Solution for Stieltjes Differential Equations with Several Derivators. Mediterr. J. Math. 18, 181 (2021). https://doi.org/10.1007/s00009-021-01817-2
NO Ignacio Márquez Albés was partially supported by Xunta de Galicia under grant ED481A-2017/095 and project ED431C 2019/02. F. Adrián F. Tojo was partially supported by Xunta de Galicia, project ED431C 2019/02, and by the Agencia Estatal de Investigación (AEI) of Spain under Grant MTM2016-75140-P, co-financed by the European Community fund FEDER
DS Minerva
RD 29 abr 2026