  This paper is devoted to study the qualitative properties of hybrid measure
differential equations (HMDEs, for short). We establish several results on the
existence of global solutions, including the existence of regulated,
continuous, differentiable and S-asymptotically $\omega$-periodic solutions.
Furthermore, we present a result on continuous dependence of solutions in terms
of parameters. Our results are based on extensions of Kasnoselskii's
fixed-point theorem.
