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Titlebook: General Pontryagin-Type Stochastic Maximum Principle and Backward Stochastic Evolution Equations in ; Qi Lü,Xu Zhang Book 2014 The Author(

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发表于 2025-3-21 16:44:12 | 显示全部楼层 |阅读模式
书目名称General Pontryagin-Type Stochastic Maximum Principle and Backward Stochastic Evolution Equations in Infinite Dimensions
编辑Qi Lü,Xu Zhang
视频video
概述First monograph on Pontryagin-type maximum principle for stochastic evolution equations.Provides useful approach to the topic, useful for both beginners and experts.Provides detailed proof for most of
丛书名称SpringerBriefs in Mathematics
图书封面Titlebook: General Pontryagin-Type Stochastic Maximum Principle and Backward Stochastic Evolution Equations in ;  Qi Lü,Xu Zhang Book 2014 The Author(
描述The classical Pontryagin maximum principle (addressed to deterministic finite dimensional control systems) is one of the three milestones in modern control theory. The corresponding theory is by now well-developed in the deterministic infinite dimensional setting and for the stochastic differential equations. However, very little is known about the same problem but for controlled stochastic (infinite dimensional) evolution equations when the diffusion term contains the control variables and the control domains are allowed to be non-convex. Indeed, it is one of the longstanding unsolved problems in stochastic control theory to establish the Pontryagin type maximum principle for this kind of general control systems: this book aims to give a solution to this problem. This book will be useful for both beginners and experts who are interested in optimal control theory for stochastic evolution equations.
出版日期Book 2014
关键词Backward stochastics evolution equation; Optimal control; Pontryagin-type maximum principle; Stochastic
版次1
doihttps://doi.org/10.1007/978-3-319-06632-5
isbn_softcover978-3-319-06631-8
isbn_ebook978-3-319-06632-5Series ISSN 2191-8198 Series E-ISSN 2191-8201
issn_series 2191-8198
copyrightThe Author(s) 2014
The information of publication is updating

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发表于 2025-3-21 21:52:21 | 显示全部楼层
Innovation and Diffusion in Mental Healthrucial roles in the study of the well-posedness of the operator-valued backward stochastic evolution Eq. (1.10) for general final datum and nonhomogeneous term. It seems that these sequential compactness results have some independent interest and may be applied in other places.
发表于 2025-3-22 02:17:11 | 显示全部楼层
Book 2014s in stochastic control theory to establish the Pontryagin type maximum principle for this kind of general control systems: this book aims to give a solution to this problem. This book will be useful for both beginners and experts who are interested in optimal control theory for stochastic evolution equations.
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https://doi.org/10.1007/978-3-319-06632-5Backward stochastics evolution equation; Optimal control; Pontryagin-type maximum principle; Stochastic
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