Overview
- 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 of applications to physical and engineering sciences
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (7 chapters)
-
Front Matter
-
Back Matter
Keywords
About this book
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.
Authors and Affiliations
About the authors
Shian Wang is an Assistant Professor at The University of Texas at El Paso (UTEP). Dr. Wang has published 1 monograph and a series of journal articles in the area of control systems with application to intelligent transportation systems. He received a Rising STARs Award from The University of Texas System in 2023.
Bibliographic Information
Book Title: Measure-Valued Solutions for Nonlinear Evolution Equations on Banach Spaces and Their Optimal Control
Authors: N. U. Ahmed, Shian Wang
DOI: https://doi.org/10.1007/978-3-031-37260-5
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023
Hardcover ISBN: 978-3-031-37259-9Published: 12 August 2023
Softcover ISBN: 978-3-031-37262-9Due: 12 September 2023
eBook ISBN: 978-3-031-37260-5Published: 11 August 2023
Edition Number: 1
Number of Pages: XIII, 227
Topics: Analysis, Systems Theory, Control, Functional Analysis, Applications of Mathematics, Engineering Mathematics