Time Dependent Subdifferential Evolution Inclusions And Optimal Control
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Time Dependent Subdifferential Evolution Inclusions And Optimal Control
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Author : Shouchuan Hu
language : en
Publisher: American Mathematical Soc.
Release Date : 1998
Time Dependent Subdifferential Evolution Inclusions And Optimal Control written by Shouchuan Hu and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
This volume studies multivalued evolution equations driven by time-dependent subdifferential operators and optimal control problems for such systems. The formulation is general enough to incorporate problems with time varying constraints. For evolution inclusions, existence relaxation and structural results for the solution set are proved. For optimal control problems, a general existence theory is developed, different forms of the relaxed problem are introduced and studied, well-posedness properties are investigated and the precise relation between the properties of relaxability and well-posedness is established. Various examples of systems which fit in the abstract framework are analysed.
Handbook Of Multivalued Analysis
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Author : Shouchuan Hu
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-21
Handbook Of Multivalued Analysis written by Shouchuan Hu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-21 with Mathematics categories.
In volume I we developed the tools of "Multivalued Analysis. " In this volume we examine the applications. After all, the initial impetus for the development of the theory of set-valued functions came from its applications in areas such as control theory and mathematical economics. In fact, the needs of control theory, in particular the study of systems with a priori feedback, led to the systematic investigation of differential equations with a multi valued vector field (differential inclusions). For this reason, we start this volume with three chapters devoted to set-valued differential equations. However, in contrast to the existing books on the subject (i. e. J. -P. Aubin - A. Cellina: "Differential Inclusions," Springer-Verlag, 1983, and Deimling: "Multivalued Differential Equations," W. De Gruyter, 1992), here we focus on "Evolution Inclusions," which are evolution equations with multi valued terms. Evolution equations were raised to prominence with the development of the linear semigroup theory by Hille and Yosida initially, with subsequent im portant contributions by Kato, Phillips and Lions. This theory allowed a successful unified treatment of some apparently different classes of nonstationary linear par tial differential equations and linear functional equations. The needs of dealing with applied problems and the natural tendency to extend the linear theory to the nonlinear case led to the development of the nonlinear semigroup theory, which became a very effective tool in the analysis of broad classes of nonlinear evolution equations.
Time Dependent Subdifferential Evolution Inclusions And Optimal Control
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Author : Schouchuan Hu
language : it
Publisher:
Release Date : 1998
Time Dependent Subdifferential Evolution Inclusions And Optimal Control written by Schouchuan Hu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.
System Modeling And Optimization
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Author : Lorena Bociu
language : en
Publisher: Springer
Release Date : 2017-04-10
System Modeling And Optimization written by Lorena Bociu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-10 with Computers categories.
This book is a collection of thoroughly refereed papers presented at the 27th IFIP TC 7 Conference on System Modeling and Optimization, held in Sophia Antipolis, France, in June/July 2015. The 48 revised papers were carefully reviewed and selected from numerous submissions. They cover the latest progress in their respective areas and encompass broad aspects of system modeling and optimiza-tion, such as modeling and analysis of systems governed by Partial Differential Equations (PDEs) or Ordinary Differential Equations (ODEs), control of PDEs/ODEs, nonlinear optimization, stochastic optimization, multi-objective optimization, combinatorial optimization, industrial applications, and numericsof PDEs.
Functional Calculus
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Author : Kamal Shah
language : en
Publisher: BoD – Books on Demand
Release Date : 2020-06-17
Functional Calculus written by Kamal Shah and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-17 with Mathematics categories.
The aim of this book is to present a broad overview of the theory and applications related to functional calculus. The book is based on two main subject areas: matrix calculus and applications of Hilbert spaces. Determinantal representations of the core inverse and its generalizations, new series formulas for matrix exponential series, results on fixed point theory, and chaotic graph operations and their fundamental group are contained under the umbrella of matrix calculus. In addition, numerical analysis of boundary value problems of fractional differential equations are also considered here. In addition, reproducing kernel Hilbert spaces, spectral theory as an application of Hilbert spaces, and an analysis of PM10 fluctuations and optimal control are all contained in the applications of Hilbert spaces. The concept of this book covers topics that will be of interest not only for students but also for researchers and professors in this field of mathematics. The authors of each chapter convey a strong emphasis on theoretical foundations in this book.
Multivalued Maps And Differential Inclusions Elements Of Theory And Applications
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Author : Valeri Obukhovskii
language : en
Publisher: World Scientific
Release Date : 2020-04-04
Multivalued Maps And Differential Inclusions Elements Of Theory And Applications written by Valeri Obukhovskii and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-04 with Mathematics categories.
The theory of multivalued maps and the theory of differential inclusions are closely connected and intensively developing branches of contemporary mathematics. They have effective and interesting applications in control theory, optimization, calculus of variations, non-smooth and convex analysis, game theory, mathematical economics and in other fields.This book presents a user-friendly and self-contained introduction to both subjects. It is aimed at 'beginners', starting with students of senior courses. The book will be useful both for readers whose interests lie in the sphere of pure mathematics, as well as for those who are involved in applicable aspects of the theory. In Chapter 0, basic definitions and fundamental results in topology are collected. Chapter 1 begins with examples showing how naturally the idea of a multivalued map arises in diverse areas of mathematics, continues with the description of a variety of properties of multivalued maps and finishes with measurable multivalued functions. Chapter 2 is devoted to the theory of fixed points of multivalued maps. The whole of Chapter 3 focuses on the study of differential inclusions and their applications in control theory. The subject of last Chapter 4 is the applications in dynamical systems, game theory, and mathematical economics.The book is completed with the bibliographic commentaries and additions containing the exposition related both to the sections described in the book and to those which left outside its framework. The extensive bibliography (including more than 400 items) leads from basic works to recent studies.
Nonlinear Operator Theory In Abstract Spaces And Applications
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Author : Yu Qing Chen
language : en
Publisher: Nova Publishers
Release Date : 2004
Nonlinear Operator Theory In Abstract Spaces And Applications written by Yu Qing Chen and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
This book primarily deals with non-linear operator theory in topological vector spaces and applications. Recently, non-linear functional analysis has become a main field of mathematics, which has played an important role in physics, mechanics and engineering, operations research and economics and many others for the past few decades. The book presents a survey of some main ideas, concepts, methods and applications in non-linear functional analysis.
Conjugacy Of Mathrm Alt 5 And Mathrm Sl 2 5 Subgroups Of E 8 Mathbb C
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Author : Darrin D. Frey
language : en
Publisher: American Mathematical Soc.
Release Date : 1998
Conjugacy Of Mathrm Alt 5 And Mathrm Sl 2 5 Subgroups Of E 8 Mathbb C written by Darrin D. Frey and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
Exceptional complex Lie groups have become increasingly important in various fields of mathematics and physics. As a result, there has been interest in expanding the representation theory of finite groups to include embeddings into the exceptional Lie groups. Cohen, Griess, Lisser, Ryba, Serre and Wales have pioneered this area, classifying the finite simple and quasisimple subgroups that embed in the exceptional complex Lie groups. This work contains the first major results concerning conjugacy classes of embeddings of finite subgroups of an exceptional complex Lie group in which there are large numbers of classes. The approach developed in this work is character theoretic, taking advantage of the classical subgroups of Eg(C). The machinery used is relatively elementary and has been used by the author and others to solve other conjugacy problems. The results presented here are very explicity. Each known conjugacy class if listed by its fusion pattern with an explicit character afforded by an embedding in that class.
Squared Hopf Algebras
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Author : Volodymyr V. Lyubashenko
language : en
Publisher: American Mathematical Soc.
Release Date : 1999
Squared Hopf Algebras written by Volodymyr V. Lyubashenko and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
This book is intended for graduate students and research mathematicians interested in associative rings and algebras.
Iterated Function Systems And Permutation Representations Of The Cuntz Algebra
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Author : Ola Bratteli
language : en
Publisher: American Mathematical Soc.
Release Date : 1999
Iterated Function Systems And Permutation Representations Of The Cuntz Algebra written by Ola Bratteli and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
This book is intended for graduate students and research mathematicians working in functional analysis.