Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On $q-$Gevrey asymptotics for singularly perturbed
  $q-$difference-differential problems with an irregular singularity   We study a $q-$analog of a singularly perturbed Cauchy problem with irregular
singularity in the complex domain which generalizes a previous result by S.
Malek in \cite{malek}. First, we construct solutions defined in open
$q-$spirals to the origin. By means of a $q-$Gevrey version of Malgrange-Sibuya
theorem we show the existence of a formal power series in the perturbation
parameter which turns out to be the $q-$Gevrey asymptotic expansion (of certain
type) of the actual solutions.

20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio