  We consider an abstract class of differential inclusions, which covers
differential-algebraic and non-autonomous problems as well as problems with
delay. Under weak assumptions on the operators involved, we prove the
well-posedness of those differential inclusions in a pure Hilbert space
setting. Moreover, we study the causality of the associated solution operator.
The theory is illustrated by an application to a semistatic quasilinear variant
of Maxwell's equations.
