Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Approximate Controllability of Impulsive Linear Evolution Equations   In this paper, we study an approximate controllability for the impulsive
linear evolution equations in Hilbert spaces. The necessary and sufficient
conditions for approximate controllability in terms of resolvent operators are
given. An example is provided to illustrate the application of the obtained
results.

34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat