Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bounded solutions of dynamical systems in Hilbert space   Necessary and sufficient conditions for existence of bounded on the entire
real axis solutions of Schrodinger equation are obtained under assumption that
the homogeneous equation admits an exponential dichotomy on the semi-axes.
Bounded analytical solutions are represented using generalized Green's
operator.

29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin