| 书目名称 | Measure-Valued Solutions for Nonlinear Evolution Equations on Banach Spaces and Their Optimal Contro | | 编辑 | N. U. Ahmed,Shian Wang | | 视频video | | | 概述 | Presents existence of measure-valued solutions for differential equations having no solutions in the usual sense.Convers standard and nonstandard optimal control problems.Provides nontrivial examples | | 图书封面 |  | | 描述 | This book offers the first comprehensive presentation of measure-valued solutions for nonlinear deterministic and stochastic evolution equations on infinite dimensional Banach spaces. Unlike traditional solutions, measure-valued solutions allow for a much broader class of abstract evolution equations to be addressed, providing a broader approach..The book presents extensive results on the existence of measure-valued solutions for differential equations that have no solutions in the usual sense. It covers a range of topics, including evolution equations with continuous/discontinuous vector fields, neutral evolution equations subject to vector measures as impulsive forces, stochastic evolution equations, and optimal control of evolution equations. The optimal control problems considered cover the existence of solutions, necessary conditions of optimality, and more, significantly complementing the existing literature..This book will be of great interest to researchers in functional analysis, partial differential equations, dynamic systems and their optimal control, and their applications, advancing previous research and providing a foundation for further exploration of the field.. | | 出版日期 | Book 2023 | | 关键词 | Abstract Differential Equation; Evolution Equation; Stochastic Differential Equation on Hilbert Spaces | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-37260-5 | | isbn_softcover | 978-3-031-37262-9 | | isbn_ebook | 978-3-031-37260-5 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 19:18:31
