• Corpus ID: 227247913

Continuity with respect to parameters of the solutions of time delayed BSDEs with Stieltjes integral.

@article{Persio2020ContinuityWR,
  title={Continuity with respect to parameters of the solutions of time delayed BSDEs with Stieltjes integral.},
  author={Luca Di Persio and Lucian Maticiuc and Adrian Zualinescu},
  journal={arXiv: Probability},
  year={2020}
}
We prove the existence and uniqueness of the solution of a BSDE with time-delayed generator, which employs the Stieltjes integral with respect to an increasing continuous stochastic process. We obtain also a result of continuity of the solution with regard to the increasing process, assuming only uniform convergence, but not in variation. 

References

SHOWING 1-10 OF 23 REFERENCES

BSDE, path-dependent PDE and nonlinear Feynman-Kac formula

We introduce a new type of path-dependent quasi-linear parabolic PDEs in which the continuous paths on an interval [0, t] become the basic variables in the place of classical variables (t, x) ∈ [0,

Continuity of the Feynman–Kac formula for a generalized parabolic equation

Abstract It is well–known that Backward Stochastic Differential Equations provide probabilistic formulae for the solution of (systems of) second order elliptic and parabolic equations, thus providing

Backward stochastic differential equations with time delayed generators - results and counterexamples

We deal with backward stochastic differential equations with time de layed generators. In this new type of equation, a generator at time t can depend on the values of a solution in the past, weighted

Backward Stochastic Differential Equation, Nonlinear Expectation and Their Applications

We give a survey of the developments in the theory of Backward Stochastic Differential Equations during the last 20 years, including the solutions’ existence and uniqueness, comparison theorem,

Backward Stochastic Differential Equations in Finance

We are concerned with different properties of backward stochastic differential equations and their applications to finance. These equations, first introduced by Pardoux and Peng (1990), are useful

Weak Solutions and Optimal Control for Multivalued Stochastic Differential Equations

Abstract.In this paper we first prove the existence of a weak solution to a finite dimensional multivalued stochastic differential equation of the form $$dX_{t} +A(X_{t}) dt \ni b (t, X) dt + \sigma

BSDEs with Time-Delayed Generators of a Moving Average Type with Applications to Non-Monotone Preferences

In this article we consider backward stochastic differential equations with time-delayed generators of a moving average type. The classical framework with linear generators depending on (Y(t), Z(t))

An Introductory Approach to Duality in Optimal Stochastic Control

The purpose of this paper is to compare the results which have been recently obtained in optimal stochastic control. Various maximum principles are shown to derive from a general Pontryagin princip...