Results 11 to 20 of about 5,613 (301)
Martingale Decomposition and Backward Stochastic Dynamic Equations on Time Scales
Journal of Mathematics, 2022 The paper aims to establish the related backward stochastic dynamic equations on time scales, BS ∇ Es for short, concerning to ∇-integral on time scales.
Guofeng Tang, Guangyan Jia
doaj +1 more source
On approximation of the backward stochastic differential equation [PDF]
Journal of Statistical Planning and Inference, 2014 We consider the problem of approximation of the solution of the backward stochastic differential equation in the Markovian case. We suppose that the trend coefficient of the diffusion process depends on some unknown parameter and the diffusion coefficient of this equation is small.
Kutoyants, Yury A., Zhou, Li
openaire +2 more sources
Infinite horizon impulse control problem with jumps and continuous switching costs [PDF]
Arab Journal of Mathematical Sciences, 2022 Purpose – The purpose of this paper is to show the existence results for adapted solutions of infinite horizon doubly reflected backward stochastic differential equations with jumps.
Rim Amami, Monique Pontier, Hani Abidi
doaj +1 more source
Harmonic analysis of stochastic equations and backward stochastic differential equations [PDF]
Probability Theory and Related Fields, 2008 The BMO martingale theory is extensively used to study nonlinear multi-dimensional stochastic equations (SEs) in $\cR^p$ ($p\in [1, \infty)$) and backward stochastic differential equations (BSDEs) in $\cR^p\times \cH^p$ ($p\in (1, \infty)$) and in $\cR^\infty\times \bar{\cH^\infty}^{BMO}$, with the coefficients being allowed to be unbounded.
Delbaen, Freddy, Tang, Shanjian
openaire +3 more sources
Risks, 2020 In insurance mathematics, optimal control problems over an infinite time horizon arise when computing risk measures. An example of such a risk measure is the expected discounted future dividend payments.
Stefan Kremsner +2 more
doaj +1 more source
Applied Mathematics in Science and Engineering, 2022 Many types of fractional stochastic differential equation (FrSDE), such as Caputo, fractional Brown motion derivatives, and Mittag-Later functions, exist.
Jiahao Chen +3 more
doaj +1 more source
Probability, Uncertainty and Quantitative Risk, 2022 For a backward stochastic differential equation (BSDE, for short), when the generator is not progressively measurable, it might not admit adapted solutions, shown by an example. However, for backward stochastic Volterra integral equations (BSVIEs, for short), the generators are allowed to be anticipating.
Wang, Hanxiao +2 more
openaire +2 more sources
A Game—Theoretic Model for a Stochastic Linear Quadratic Tracking Problem
Axioms, 2023 In this paper, we solve a stochastic linear quadratic tracking problem. The controlled dynamical system is modeled by a system of linear Itô differential equations subject to jump Markov perturbations.
Vasile Drăgan +2 more
doaj +1 more source
Backward stochastic differential equations on manifolds [PDF]
Probability Theory and Related Fields, 2004 47 pages To be published in ...
openaire +2 more sources
Analysis of stability for stochastic delay integro-differential equations
Journal of Inequalities and Applications, 2018 In this paper, we concern stability of numerical methods applied to stochastic delay integro-differential equations. For linear stochastic delay integro-differential equations, it is shown that the mean-square stability is derived by the split-step ...
Yu Zhang, Longsuo Li
doaj +1 more source