Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on existence of global solutions and invariant measures for jump
  SDEs with locally one-sided Lipschitz drift   We extend some methods developed by Albeverio, Brze\'{z}niak and Wu and we
show how to apply them in order to prove existence of global strong solutions
of stochastic differential equations with jumps, under a local one-sided
Lipschitz condition on the drift (also known as a monotonicity condition) and a
local Lipschitz condition on the diffusion and jump coefficients, while an
additional global one-sided linear growth assumption is satisfied. Then we use
these methods to prove existence of invariant measures for a broad class of
such equations.

27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio