Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Controllability of Impulsive Semilinear Evolution Equations with Memory
  and Delay in Hilbert Spaces   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 approximate
controllability of impulsive semilinear evolution equations in a Hilbert space
with memory and delay terms which arise from reaction-diffusion models. We
prove 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 the
final condition with an appropriated collection of admissible controls thanks
to 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.

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The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat