Unilateral Variational Analysis In Banach Spaces In 2 Parts
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Unilateral Variational Analysis In Banach Spaces In 2 Parts
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Author : Lionel Thibault
language : en
Publisher: World Scientific
Release Date : 2023-02-14
Unilateral Variational Analysis In Banach Spaces In 2 Parts written by Lionel Thibault and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-14 with Mathematics categories.
The monograph provides a detailed and comprehensive presentation of the rich and beautiful theory of unilateral variational analysis in infinite dimensions. It is divided into two volumes named Part I and Part II. Starting with the convergence of sets and the semilimits and semicontinuities of multimappings, the first volume develops the theories of tangent cones, of subdifferentials, of convexity and duality in locally convex spaces, of extended mean value inequalities in absence of differentiability, of metric regularity, of constrained optimization problems.The second volume is devoted to special classes of non-smooth functions and sets. It expands the theory of subsmooth functions and sets, of semiconvex functions and multimappings, of primal lower regular functions, of singularities of non-smooth mappings, of prox-regular functions and sets in general spaces, of differentiability of projection mapping and others for prox-regular sets. Both volumes I and II contain, for each chapter, extensive comments covering related developments and historical comments.Connected area fields of the material are: optimization, optimal control, variational inequalities, differential inclusions, mechanics, economics. The book is intended for PhD students, researchers, and practitioners using unilateral variational analysis tools.
Unilateral Variational Analysis In Banach Spaces
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Author : Lionel Thibault
language : en
Publisher:
Release Date : 2023
Unilateral Variational Analysis In Banach Spaces written by Lionel Thibault and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with categories.
Unilateral Variational Analysis In Banach Spaces In 2 Parts
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Author : Lionel Thibault
language : en
Publisher: World Scientific
Release Date : 2022
Unilateral Variational Analysis In Banach Spaces In 2 Parts written by Lionel Thibault and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with Electronic books categories.
Complementarity And Variational Inequalities In Electronics
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Author : Daniel Goeleven
language : en
Publisher: Academic Press
Release Date : 2017-05-18
Complementarity And Variational Inequalities In Electronics written by Daniel Goeleven and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-18 with Mathematics categories.
Complementarity and Variational Inequalities in Electronics evaluates the main mathematical models relevant to the study of electrical network problems involving devices. The book focuses on complementarity problems, variational inequalities and non-regular dynamical systems which are well-known for their applications in mechanics and economics, but rarely target electrical applications. The book uses these tools to review the qualitative properties of devices, including slicers, amplitude selectors, sampling gates, operational amplifiers, and four-diode bridge full-wave rectifiers. Users will find demonstrations on how to compute optimized output signal relevant to potentially superior applications. In addition, the book describes how to determine the stationary points of dynamical circuits and to determine the corresponding Lyapunov stability and attractivity properties, topics of major importance for further dynamical analysis and control. Hemivariational inequalities are also covered in some depth relevant to application in thyristor devices. - Reviews the main mathematical models applicable to the study of electrical networks involving diodes and transistors - Focuses on theoretical existence and uniqueness of a solution, stability of stationary solutions, and invariance properties - Provides realistic complementarity and variational problems to illustrate theoretical results - Evaluates applications of the theory across many devices, including slicers, amplitude selectors, sampling gates, operational amplifiers, and four-diode bridge full-wave rectifiers - Details both fully developed mathematical proofs and common models used in electronics - Provides a comprehensive literature review, including thousands of relevant references
Unilateral Contact Problems
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Author : Christof Eck
language : en
Publisher: CRC Press
Release Date : 2005-03-17
Unilateral Contact Problems written by Christof Eck and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-03-17 with Mathematics categories.
The mathematical analysis of contact problems, with or without friction, is an area where progress depends heavily on the integration of pure and applied mathematics. This book presents the state of the art in the mathematical analysis of unilateral contact problems with friction, along with a major part of the analysis of dynamic contact problems
Variational Principles In Mathematical Physics Geometry And Economics
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Author : Alexandru Kristály
language : en
Publisher: Cambridge University Press
Release Date : 2010-08-19
Variational Principles In Mathematical Physics Geometry And Economics written by Alexandru Kristály and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-19 with Mathematics categories.
A comprehensive introduction to modern applied functional analysis. Assumes only basic notions of calculus, real analysis, geometry, and differential equations.
Nonlinear Functional Analysis And Its Applications Part 2
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Author : Felix E. Browder
language : en
Publisher: American Mathematical Soc.
Release Date : 1986
Nonlinear Functional Analysis And Its Applications Part 2 written by Felix E. Browder 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 1986 with Mathematics categories.
Variational Inequalities And Frictional Contact Problems
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Author : Anca Capatina
language : en
Publisher: Springer
Release Date : 2014-09-16
Variational Inequalities And Frictional Contact Problems written by Anca Capatina and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-16 with Mathematics categories.
Variational Inequalities and Frictional Contact Problems contains a carefully selected collection of results on elliptic and evolutionary quasi-variational inequalities including existence, uniqueness, regularity, dual formulations, numerical approximations and error estimates ones. By using a wide range of methods and arguments, the results are presented in a constructive way, with clarity and well justified proofs. This approach makes the subjects accessible to mathematicians and applied mathematicians. Moreover, this part of the book can be used as an excellent background for the investigation of more general classes of variational inequalities. The abstract variational inequalities considered in this book cover the variational formulations of many static and quasi-static contact problems. Based on these abstract results, in the last part of the book, certain static and quasi-static frictional contact problems in elasticity are studied in an almost exhaustive way. The readers will find a systematic and unified exposition on classical, variational and dual formulations, existence, uniqueness and regularity results, finite element approximations and related optimal control problems. This part of the book is an update of the Signorini problem with nonlocal Coulomb friction, a problem little studied and with few results in the literature. Also, in the quasi-static case, a control problem governed by a bilateral contact problem is studied. Despite the theoretical nature of the presented results, the book provides a background for the numerical analysis of contact problems. The materials presented are accessible to both graduate/under graduate students and to researchers in applied mathematics, mechanics, and engineering. The obtained results have numerous applications in mechanics, engineering and geophysics. The book contains a good amount of original results which, in this unified form, cannot be found anywhere else.
Variational And Hemivariational Inequalities Theory Methods And Applications
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Author : D. Goeleven
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-27
Variational And Hemivariational Inequalities Theory Methods And Applications written by D. Goeleven 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 2013-11-27 with Mathematics categories.
This book includes a self-contained theory of inequality problems and their applications to unilateral mechanics. Fundamental theoretical results and related methods of analysis are discussed on various examples and applications in mechanics. The work can be seen as a book of applied nonlinear analysis entirely devoted to the study of inequality problems, i.e. variational inequalities and hemivariational inequalities in mathematical models and their corresponding applications to unilateral mechanics. It contains a systematic investigation of the interplay between theoretical results and concrete problems in mechanics. It is the first textbook including a comprehensive and systematic study of both elliptic, parabolic and hyperbolic inequality models, dynamical unilateral systems and unilateral eigenvalues problems. The book is self-contained and it offers, for the first time, the possibility to learn about inequality models and to acquire the essence of the theory in a relatively short time.
A Variational Approach To Nonsmooth Dynamics
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Author : Samir Adly
language : en
Publisher: Springer
Release Date : 2018-02-19
A Variational Approach To Nonsmooth Dynamics written by Samir Adly and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-19 with Mathematics categories.
This brief examines mathematical models in nonsmooth mechanics and nonregular electrical circuits, including evolution variational inequalities, complementarity systems, differential inclusions, second-order dynamics, Lur'e systems and Moreau's sweeping process. The field of nonsmooth dynamics is of great interest to mathematicians, mechanicians, automatic controllers and engineers. The present volume acknowledges this transversality and provides a multidisciplinary view as it outlines fundamental results in nonsmooth dynamics and explains how to use them to study various problems in engineering. In particular, the author explores the question of how to redefine the notion of dynamical systems in light of modern variational and nonsmooth analysis. With the aim of bridging between the communities of applied mathematicians, engineers and researchers in control theory and nonlinear systems, this brief outlines both relevant mathematical proofs and models in unilateral mechanics and electronics.