Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An explicit Maclaurin series solution to a classic non-autonomous
  abstract evolution equation   It is well known that the non-autonomous scalar differential equation of
evolution has a unique solution given by an elementary exponential function. In
general there is no such analogous solution to the corresponding non-autonomous
evolution equation for square matrices. In this paper we propose and justify an
explicit Maclaurin series solution to a classic non-autonomous abstract
evolution equation for bounded linear operators on Banach space.

21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph