  The flow is very useful in studying dynamical systems. However, many modern
systems--notably differential inclusions--do not have unique solutions, and
therefore cannot be described by flows. Richard McGehee has proposed an object,
the multiflow, in order to use the topological techniques developed for flows
in this setting. In this paper we will introduce multiflows and prove that
under basic conditions, differential inclusions give rise to multiflows. This
paper will also outline the most prominent example of differential inclusions,
Filippov systems, as motivation. In addition, several results on differential
inclusions, such as the existence theorem, are reproven here in order to create
a self-contained work.
