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

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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.

This is a digital product.

Measure-Valued Solutions for Nonlinear Evolution Equations on Banach Spaces and Their Optimal Control is written by N. U. Ahmed; Shian Wang and published by Springer. The Digital and eTextbook ISBNs for Measure-Valued Solutions for Nonlinear Evolution Equations on Banach Spaces and Their Optimal Control are 9783031372605, 3031372603 and the print ISBNs are 9783031372599, 303137259X.