Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inequalities for solutions to some nonlinear equations   Let $F$ be a nonlinear Frechet differentiable map in a real Hilbert space.
Condition sufficient for existence of a solution to the equation $F(u)=0$ is
given, and a method (dynamical systems method, DSM) to calculate the solution
as the limit of the solution to a Cauchy problem is justified under suitable
assumptions.

29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg