Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A global maximum principle for optimal control of general mean-field
  forward-backward stochastic systems with jumps   In this paper we prove a necessary condition of the optimal control problem
for a class of general mean-field forward-backward stochastic systems with
jumps in the case where the diffusion coefficients depend on control, the
control set does not need to be convex, the coefficients of jump terms are
independent of control as well as the coefficients of mean-field backward
stochastic differential equations depend on the joint law of $(X(t),Y(t))$. Two
new adjoint equations are brought in as well as several new generic estimates
of their solutions are investigated for analysing the higher terms, especially,
those involving the expectation which come from the derivatives of the
coefficients with respect to the measure. Utilizing these subtle estimates, the
second-order expansion of the cost functional, which is the key point to
analyse the necessary condition, is obtained, and whereafter the stochastic
maximum principle.

15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th