Controlled diffusion processes /

This book deals with the optimal control of solutions of fully observable It-type stochastic differential equations. The validity of the Bellman differential equation for payoff functions is proved and rules for optimal control strategies are developed. Topics include optimal stopping; one dimension...

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Bibliographic Details
Main Author: Krylov, N. V. (Nikolaĭ Vladimirovich)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin : Springer, [2009]
Series:Stochastic modelling and applied probability ; 14.
Subjects:
Online Access:Connect to the full text of this electronic book
Description
Summary:This book deals with the optimal control of solutions of fully observable It-type stochastic differential equations. The validity of the Bellman differential equation for payoff functions is proved and rules for optimal control strategies are developed. Topics include optimal stopping; one dimensional controlled diffusion; the Lp-estimates of stochastic integral distributions; the existence theorem for stochastic equations; the It formula for functions; and the Bellman principle, equation, and normalized equation.
Item Description:"Reprint of the 1980 edition."
Physical Description:1 online resource (xii, 308 pages)
Bibliography:Includes bibliographical references (pages 303-306) and index.
ISBN:9783540709145 (electronic bk.)
3540709142 (electronic bk.)