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Jensen’s Inequality for Backward Stochastic Differential Equations*
Chinese Annals of Mathematics, Series B, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Forward-Backward Stochastic Differential Equations
2013We investigate a backward SDE with a generator and a terminal condition which depend on the state of a Markov process solving a forward SDE driven by a Brownian motion and a compensated Poisson random measure. Such an equation is called a forward-backward SDE. In the Markovian setting we show that the unique solution to a backward SDE can be written as
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HJB Equations Through Backward Stochastic Differential Equations
2017This last chapter of the book completes the picture of the main methods used to study second-order HJB equations in Hilbert spaces and related optimal control problems by presenting a survey of results that can be achieved with the techniques of Backward SDEs in infinite dimension.
Fuhrman, M, Tessitore, G.
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Quadratic backward stochastic differential equations
2017In this thesis, we analyze backward stochastic differential equations. We begin by introducing stochastic processes, Brownian motion, stochastic integrals, and Itô's formula. After that, we move on to consider stochastic differential equations and finally backward stochastic differential equations.
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Fully Coupled Forward-Backward Stochastic Differential Equations and Applications to Optimal Control
SIAM Journal on Control and Optimization, 1999Zhen Wu
exaly
Comparison Theorems of Backward Doubly Stochastic Differential Equations and Applications
Stochastic Analysis and Applications, 2005Yufeng Shi
exaly

