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.
General
Imprint: |
Springer International Publishing AG
|
Country of origin: |
Switzerland |
Release date: |
August 2023 |
First published: |
2023 |
Authors: |
N.U. Ahmed
• Shian Wang
|
Dimensions: |
235 x 155mm (L x W) |
Pages: |
227 |
Edition: |
1st ed. 2023 |
ISBN-13: |
978-3-03-137259-9 |
Categories: |
Books
|
LSN: |
3-03-137259-X |
Barcode: |
9783031372599 |
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