López Pouso, RodrigoMárquez Albés, IgnacioRodríguez López, Jorge2025-12-222025-12-222020-05-20López 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-yhttps://hdl.handle.net/10347/44653We 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.engAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/Differential inclusionsDiscontinuous differential equationsStieltjes differential inclusionsStieltjes differential equationsjournal article10.1186/s13662-020-02685-y2731-4235open access