Forward-backward stochastic differential equations and their applications

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Bibliographic Information

Forward-backward stochastic differential equations and their applications

Jin Ma, Jiongmin Yong

(Lecture notes in mathematics, 1702)

Springer, c1999

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Note

Includes bibliographical references (p. [259]-268) and index

"corrected 3rd printing" is c2007

Description and Table of Contents

Description

This volume is a survey/monograph on the recently developed theory of forward-backward stochastic differential equations (FBSDEs). Basic techniques such as the method of optimal control, the 'Four Step Scheme', and the method of continuation are presented in full. Related topics such as backward stochastic PDEs and many applications of FBSDEs are also discussed in detail. The volume is suitable for readers with basic knowledge of stochastic differential equations, and some exposure to the stochastic control theory and PDEs. It can be used for researchers and/or senior graduate students in the areas of probability, control theory, mathematical finance, and other related fields.

Table of Contents

Linear Equations.- Method of Optimal Control.- Four Step Scheme.- Linear, Degenerate Backward Stochastic Partial Di erential Equations.- The Method of Continuation.- FBSDEs with Reflections.- Applications of FBSDEs.- Numerical Methods for FBSDEs.

by "Nielsen BookData"

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