RT Journal Article
T1 Solvability of non-semicontinuous systems of Stieltjes differential inclusions and equations
A1 López Pouso, Rodrigo
A1 Márquez Albés, Ignacio
A1 Rodríguez López, Jorge
K1 Differential inclusions
K1 Discontinuous differential equations
K1 Stieltjes differential inclusions
K1 Stieltjes differential equations
AB We prove an existence result for systems of differential inclusions driven by multivalued mappings which need not assume closed or convex values everywhere, and need not be semicontinuous everywhere. Moreover, we consider differentiation with respect to a nondecreasing function, thus covering discrete, continuous and impulsive problems under a unique formulation. We emphasize that our existence result appears to be new even when the derivator is the identity, i.e. when derivatives are considered in the usual sense. We also apply our existence theorem for inclusions to derive a new existence result for discontinuous Stieltjes differential equations. Examples are given to illustrate the main results.
PB Springer
YR 2020
FD 2020-05-20
LK https://hdl.handle.net/10347/44653
UL https://hdl.handle.net/10347/44653
LA eng
NO López Pouso, R., Márquez Albés, I. & Rodríguez-López, J. Solvability of non-semicontinuous systems of Stieltjes differential inclusions and equations. Adv Differ Equ 2020, 227 (2020). https://doi.org/10.1186/s13662-020-02685-y
NO Ministerio de Economía y Competitividad, Spain, and FEDER, Project MTM2016-75140-P, Project MTM2016-75140-P, Project MTM2016-75140-P
NO Xunta de Galicia under grants ED431C 2019/02, ED481A-2017/095, ED431C 2019/02, ED481A-2017/178 and ED431C 2019/02
DS Minerva
RD 3 may 2026