Measure-Valued Solutions for Nonlinear Evolution Equations on Banach Spaces and Their Optimal Control

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Synopsis

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.

Book details

Edition:
1st ed. 2023
Author:
N. U. Ahmed, Shian Wang
ISBN:
9783031372605
Related ISBNs:
9783031372599
Publisher:
Springer Nature Switzerland
Pages:
N/A
Reading age:
Not specified
Includes images:
Yes
Date of addition:
2023-09-12
Usage restrictions:
Copyright
Copyright date:
2023
Copyright by:
The Editor 
Adult content:
No
Language:
English
Categories:
Mathematics and Statistics, Nonfiction, Science, Technology