Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A class of abstract delay differential equations in the light of suns
  and stars   Using dual perturbation theory in a non-sun-reflexive context, we establish a
correspondence between 1. a class of nonlinear abstract delay differential
equations (DDEs) with unbounded linear part and an unknown taking values in an
arbitrary Banach space and 2. a class of abstract weak* integral equations of
convolution type involving the sun-star adjoint of a translation-like strongly
continuous semigroup. For this purpose we also characterize the sun dual of the
underlying state space. More generally we consider bounded linear perturbations
of an arbitrary strongly continuous semigroup and we comment on some
implications for the particular case of abstract DDEs.

22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex