Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Index definitions for nonlinear IAEs and DAEs: new classifications and
  numerical treatments   The definition of index for differential algebraic equations (DAEs) or
integral algebraic equations (IAEs) in the linear case (time variable) depends
only on the coefficients of integrals or differential operators and the
coefficients of the unknown functions. Is this possible for the nonlinear case?
In this paper we answer this question. In this paper, we generalize the index
notion for the nonlinear case. One of the difficulties for nonlinear case, is
its dependence on the exact solution which motivates us to give an important
warning to whom want to solve DAEs using numerical methods such as Runge-Kutta,
multistep or collocation methods.

15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat