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Measure-valued solutions for nonlinear evolution equations on Banach spaces and their optimal control

Record Type:	Electronic resources : Monograph/item
Title/Author:	Measure-valued solutions for nonlinear evolution equations on Banach spaces and their optimal controlby N. U. Ahmed, Shian Wang.
Author:	Ahmed, N. U.
other author:	Wang, Shian.
Published:	Cham :Springer Nature Switzerland :2023.
Description:	xiii, 227 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Evolution equations, Nonlinear.
Online resource:	https://doi.org/10.1007/978-3-031-37260-5
ISBN:	9783031372605$q(electronic bk.)

Measure-valued solutions for nonlinear evolution equations on Banach spaces and their optimal control
Ahmed, N. U.

Measure-valued solutions for nonlinear evolution equations on Banach spaces and their optimal control[electronic resource] /by N. U. Ahmed, Shian Wang. - Cham :Springer Nature Switzerland :2023. - xiii, 227 p. :ill., digital ;24 cm.

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.

ISBN: 9783031372605$q(electronic bk.)

Standard No.: 10.1007/978-3-031-37260-5doiSubjects--Topical Terms:

307743
Evolution equations, Nonlinear.

LC Class. No.: QA377

Dewey Class. No.: 515.355

Measure-valued solutions for nonlinear evolution equations on Banach spaces and their optimal control
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520 $a 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.
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