Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mixed stochastic differential equations with long-range dependence:
  existence, uniqueness and convergence of solutions   For a mixed stochastic differential equation involving standard Brownian
motion and an almost surely H\"older continuous process $Z$ with H\"older
exponent $\gamma>1/2$, we establish a new result on its unique solvability. We
also establish an estimate for difference of solutions to such equations with
different processes $Z$ and deduce a corresponding limit theorem. As a
by-product, we obtain a result on existence of moments of a solution to a mixed
equation under an assumption that $Z$ has certain exponential moments.

29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat