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＜電子ブック＞
Measure-Valued Solutions for Nonlinear Evolution Equations on Banach Spaces and Their Optimal Control / by N. U. Ahmed, Shian Wang

版	1st ed. 2023.
出版者	(Cham : Springer Nature Switzerland : Imprint: Springer)
出版年	2023
本文言語	英語
大きさ	XIII, 227 p : online resource
著者標目	*Ahmed, N. U author Wang, Shian author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:System theory LCSH:Control theory LCSH:Functional analysis LCSH:Mathematics LCSH:Engineering mathematics FREE:Differential Equations FREE:Systems Theory, Control FREE:Functional Analysis FREE:Applications of Mathematics FREE:Engineering Mathematics
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-031-37260-5

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