DELAY-DIFFERENTIAL INCLUSIONS WITH CONSTRAINTS

In this paper we examine functional differential inclusions with memory and state constraints. For the case of time-independent state constraints, we show that the solution set is R(delta) under Caratheodory conditions on the oreintor field. For the case of time-dependent state constraints we prove two existence theorems. For this second case, the question of whether the solution set is R(delta) remains open.