Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence of solutions of integral equations with asymptotic conditions   In this work we will consider integral equations defined on the whole real
line and look for solutions which satisfy some certain kind of asymptotic
behavior. To do that, we will define a suitable Banach space which, to the best
of our knowledge, has never been used before. In order to obtain fixed points
of the integral operator, we will consider the fixed point index theory and
apply it to this new Banach space.

26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an