
Measure-Valued Solutions for Nonlinear Evolution Equations on Banach Spaces and Their Optimal Control
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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.
Reviews / Votes
"The monograph and the topics covered here are very useful for specialists in differential equations and systems theory in general. This can be classified as a call for mathematicians, especially recent graduates, to get involved in measure solution research. ... I congratulate the authors who point out a new perspective in systems theory." (Agamirza E. Bashirov, Mathematical Reviews, May, 2025)
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Persons
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.
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