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Inspired in our work on the controllability for the semilinear with memory\cite{Carrasco-Guevara-Leiva:2017aa, Guevara-Leiva:2016aa,Guevara-Leiva:2017aa}, we present the general cases for the approximatecontrollability of impulsive semilinear evolution equations in a Hilbert spacewith memory and delay terms which arise from reaction-diffusion models. Weprove that, for each initial and an arbitrary neighborhood of a final state,one can steer the system from the initial condition to this neighborhood of thefinal condition with an appropriated collection of admissible controls thanksto the delays. Our proof is based on semigroup theory and A.E. Bashirov et al.technique \cite{Bashirov-Ghahramanlou:2015aa, Bashirov-Jneid:2013aa,Bashirov-Mahmudov:2007aa} which avoids fixed point theorems.

Controllability of Impulsive Semilinear Evolution Equations with Memory and Delay in Hilbert Spaces