$L^p$ solution of backward stochastic differential equations driven by a marked point process

Fulvia Confortola

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arXiv · 1611.10157

$L^p$ solution of backward stochastic differential equations driven by a marked point process

Fulvia Confortola

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Abstract

We obtain existence and uniqueness in L^p, p>1 of the solutions of a backward stochastic differential equations (BSDEs for short) driven by a marked point process, on a bounded interval. We show that the solution of the BSDE can be approximated by a finite system of deterministic differential equations. As application we address an optimal control problems for point processes of general non-Markovian type and show that BSDEs can be used to prove existence of an optimal control and to represent the value function.

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Fulvia Confortola. 2016-11-30. $L^p$ solution of backward stochastic differential equations driven by a marked point process. https://arxiv.org/abs/1611.10157

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