In this paper we prove the interior approximate controllability of the following Semilinear HeatEquation with Impulses and Delaywhere Ω is a bounded domain in RN(N ≥ 1), φ : [?r, 0] × Ω → ? is a continuous function, ! is an opennonempty subset of Ω, 1ω denotes the characteristic function of the set ! and the distributed control u be-longs to L2([0, τ]; L2(Ω; )). Here r ≥ 0 is the delay and the nonlinear functions f , Ik : [0, τ] × ? × ? → ? aresmooth enough, such thatUnder this condition we prove the following statement: For all open nonempty subset ! of Ω the system isapproximately controllable on [0, τ], for all τ > 0.
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