Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fredholm Solvability of Time-Periodic Boundary Value Hyperbolic Problems   We investigate a large class of linear boundary value problems for the
general first-order one-dimensional hyperbolic systems in the strip
$[0,1]\times\R$. We state rather broad natural conditions on the data under
which the operators of the problems satisfy the Fredholm alternative in the
spaces of continuous and time-periodic functions. A crucial ingredient of our
analysis is a non-resonance condition, which is formulated in terms of the data
responsible for the bijective part of the Fredholm operator. In the case of
$2\times 2$ systems with reflection boundary conditions, we provide a criterium
for the non-resonant behavior of the system.

23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics