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

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 equation...

पूर्ण विवरण

में बचाया:
ग्रंथसूची विवरण
मुख्य लेखकों: Ahmed, N. U. (लेखक), Wang, Shian (लेखक)
निगमित लेखक: SpringerLink (Online service)
स्वरूप: इलेक्ट्रोनिक ई-पुस्तक
भाषा:अंग्रेज़ी
प्रकाशित: Cham : Springer Nature Switzerland : Imprint: Springer, 2023.
संस्करण:1st ed. 2023.
विषय:
ऑनलाइन पहुंच:https://doi.org/10.1007/978-3-031-37260-5
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520 |a 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. 
532 8 |a Accessibility summary: This PDF does not fully comply with PDF/UA standards, but does feature limited screen reader support, bookmarks for easy navigation and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us at accessibilitysupport@springernature.com. 
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532 8 |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com 
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650 0 |a Differential equations. 
650 0 |a System theory. 
650 0 |a Control theory. 
650 0 |a Functional analysis. 
650 0 |a Mathematics. 
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650 2 4 |a Systems Theory, Control. 
650 2 4 |a Functional Analysis. 
650 2 4 |a Applications of Mathematics. 
650 2 4 |a Engineering Mathematics. 
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