Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global Lipschitz Invariant Center Manifolds for ODEs with Generalized
  Trichotomies   In a Banach space, assuming that a linear nonautonomous differential equation
$v'=A(t)v$ admits a very general type of trichotomy, we establish conditions
for the existence of global Lipschitz invariant center manifold of the
perturbed equation $v'=A(t)v+f(t,v)$. Our results not only improve results
already existing in the literature, as well include new cases.

16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs