Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamical systems method (DSM) for general nonlinear equations   If $F:H\to H$ is a map in a Hilbert space $H$, $F\in C^2_{loc}$, and there
exists $y$, such that $F(y)=0$, $F'(y)\not= 0$, then equation $F(u)=0$ can be
solved by a DSM (dynamical systems method). This method yields also a
convergent iterative method for finding $y$, and converges at the rate of a
geometric series. It is not assumed that $y$ is the only solution to $F(u)=0$.
Stable approximation to a solution of the equation $F(u)=f$ is constructed by a
DSM when $f$ is unknown but $f_\d$ is known, where $||f_\d-f||\leq \d$.

21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys