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Nonsmooth Equations in Optimization / Regularity, Calculus, Methods and Applications, Klatte Diethard, Kummer B.


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Цена: 16825р.
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Склад Англия: 249 шт.  Склад Америка: 66 шт.  
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Автор: Klatte Diethard, Kummer B.
Название:  Nonsmooth Equations in Optimization / Regularity, Calculus, Methods and Applications
Издательство: Springer
Классификация:
Дифферунциально и интегральное исчисление и математический анализ
Численный анализ
Оптимизация
Прикладная математика
Компьютерное программирование

ISBN: 1402005504
ISBN-13(EAN): 9781402005503
ISBN: 1-402-00550-4
ISBN-13(EAN): 978-1-402-00550-3
Обложка/Формат: Hardback
Страницы: 368
Вес: 0.692 кг.
Дата издания: 01.05.2002
Серия: Nonconvex Optimization and Its Applications
Язык: ENG
Иллюстрации: Black & white illustrations
Размер: 25.65 x 15.70 x 2.46 cm
Читательская аудитория: Postgraduate, research & scholarly
Подзаголовок: Regularity, calculus, methods and applications
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: The book establishes links between regularity and derivative concepts of nonsmooth analysis and studies of solution methods and stability for optimization, complementarity and equilibrium problems. In developing necessary tools, it presents, in particular: an extended analysis of Lipschitz functions and the calculus of their generalized derivatives, including regularity, successive approximation and implicit functions for multivalued mappings; a unified theory of Lipschitzian critical points in optimization and other variational problems, with relations to reformulations by penalty, barrier and NCP functions; an analysis of generalized Newton methods based on linear and nonlinear approximations; the interpretation of hypotheses, generalized derivatives and solution methods in terms of original data and quadratic approximations; a rich collection of instructive examples and exercises.ВЈ/LISTВЈ Audience: Researchers, graduate students and practitioners in various fields of applied mathematics, engineering, OR and economics. Also university teachers and advanced students who wish to get insights into problems, future directions and recent developments.
Дополнительное описание: Формат: 240x160
Ключевые слова:
Язык: eng
Оглавление: Introduction. List of Results. Basic Notation. 1. Basic Concepts. 2. Regularity and Consequences. 3. Characterizations of Regularity by Derivatives. 4. Nonlinear Variations and Implicit Functions. 5. Closed Mappings in Finite Dimension. 6. Analysis of Generalized Derivatives. 7. Critical Points and Generalized Kojima-Functions. 8. Parametric Optimization Problems. 9. Derivatives and Regularity of Further Nonsmooth Maps. 10. Newton's Method for Lipschitz Equations. 11. Particular Newton Realizations and Solution Methods. 12. Basic Examples and Exercises. Appendix. Bibliography. Index.





Nonsmooth Variational Problems and Their Inequalities / Comparison Principles and Applications

Автор: Carl Siegfried, Le Vy Khoi, Motreanu Dumitru
Название: Nonsmooth Variational Problems and Their Inequalities / Comparison Principles and Applications
ISBN: 0387306536 ISBN-13(EAN): 9780387306537
Издательство: Springer
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Цена: 12154 р.
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Описание: This monograph focuses primarily on nonsmooth variational problems that arise from boundary value problems with nonsmooth data and/or nonsmooth constraints, such as is multivalued elliptic problems, variational inequalities, hemivariational inequalities, and their corresponding evolution problems. The main purpose of this book is to provide a systematic and unified exposition of comparison principles based on a suitably extended sub-supersolution method. This method is an effective and flexible technique to obtain existence and comparison results of solutions. Also, it can be employed for the investigation of various qualitative properties, such as location, multiplicity and extremality of solutions. In the treatment of the problems under consideration a wide range of methods and techniques from nonlinear and nonsmooth analysis is applied, a brief outline of which has been provided in a preliminary chapter in order to make the book self-contained.This text is an invaluable reference for researchers and graduate students in mathematics (functional analysis, partial differential equations, elasticity, applications in materials science and mechanics) as well as physicists and engineers.

Nonsmooth Vector Functions and Continuous Optimization

Автор: Jeyakumar V., Luc D.T.
Название: Nonsmooth Vector Functions and Continuous Optimization
ISBN: 0387737162 ISBN-13(EAN): 9780387737164
Издательство: Springer
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Цена: 12154 р.
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Описание: Focusing on the study of nonsmooth vector functions, this book presents a comprehensive account of the calculus of generalized Jacobian matrices and their applications to continuous nonsmooth optimization problems, as well as variational inequalities in finite dimensions.

Nonsmooth/Nonconvex Mechanics / Modeling, Analysis and Numerical Methods

Автор: Yang Gao David, Ogden R.W., Stavroulakis G.E.
Название: Nonsmooth/Nonconvex Mechanics / Modeling, Analysis and Numerical Methods
ISBN: 0792367863 ISBN-13(EAN): 9780792367864
Издательство: Springer
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Цена: 13089 р.
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Описание: Nonsmooth and nonconvex models arise in several important applications of mechanics and engineering. The interest in this field is growing from both mathematicians and engineers. The study of numerous industrial applications, including contact phenomena in statics and dynamics or delamination effects in composites, require the consideration of nonsmoothness and nonconvexity. The mathematical topics discussed in this book include variational and hemivariational inequalities, duality, complementarity, variational principles, sensitivity analysis, eigenvalue and resonance problems, and minimax problems. Applications are considered in the following areas among others: nonsmooth statics and dynamics, stability of quasi- static evolution processes, friction problems, adhesive contact and debonding, inverse problems, pseudoelastic modeling of phase transitions, chaotic behavior in nonlinear beams, and nonholonomic mechanical systems. This volume contains 22 chapters written by various leading researchers and presents a cohesive and authoritative overview of recent results and applications in the area of nonsmooth and nonconvex mechanics. Audience: Faculty, graduate students, and researchers in applied mathematics, optimization, control and engineering.

Nonsmooth Dynamics of Contacting Thermoelastic Bodies

Автор: Jan Awrejcewicz; Yuriy Pyryev
Название: Nonsmooth Dynamics of Contacting Thermoelastic Bodies
ISBN: 0387096523 ISBN-13(EAN): 9780387096520
Издательство: Springer
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Цена: 8130 р.
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Описание: Deals with the study in contact mechanics, treating the nonsmooth dynamics of contacting bodies. This book covers topics that examine non-steady dynamic phenomena which are determined by key factors that is heat conduction, thermal stresses, and the amount of wearing. It considers the importance of the inertia factor on par with thermal stresses.

Nonsmooth Mechanics and Analysis / Theoretical and Numerical Advances

Автор: Alart P., Maisonneuve O., Rockafellar R.T.
Название: Nonsmooth Mechanics and Analysis / Theoretical and Numerical Advances
ISBN: 0387291962 ISBN-13(EAN): 9780387291963
Издательство: Springer
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Цена: 21845 р.
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Описание: This book’s title, Nonsmooth Mechanics and Analysis, refers to a major domain of mechanics, particularly those initiated by the works of Jean Jacques Moreau. Nonsmooth mechanics concerns mechanical situations with possible nondifferentiable relationships, eventually discontinuous, as unilateral contact, dry friction, collisions, plasticity, damage, and phase transition. The basis of the approach consists in dealing with such problems without resorting to any regularization process. Indeed, the nonsmoothness is due to simplified mechanical modeling; a more sophisticated model would require too large a number of variables, and sometimes the mechanical information is not available via experimental investigations. Therefore, the mathematical formulation becomes nonsmooth; regularizing would only be a trick of arithmetic without any physical justification. Nonsmooth analysis was developed, especially in Montpellier, to provide specific theoretical and numerical tools to deal with nonsmoothness. It is important not only in mechanics but also in physics, robotics, and economics.

Regularity Results for Nonlinear Elliptic Systems and Applications

Автор: Bensoussan Alain, Frehse Jens
Название: Regularity Results for Nonlinear Elliptic Systems and Applications
ISBN: 3540677569 ISBN-13(EAN): 9783540677567
Издательство: Springer
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Цена: 10284 р.
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Описание: The book collects many techniques that are helpul in obtaining regularity results for solutions of nonlinear systems of partial differential equations. They are then applied in various cases to provide useful examples and relevant results, particularly in fields like fluid mechanics, solid mechanics, semiconductor theory, or game theory.In general, these techniques are scattered in the journal literature and developed in the strict context of a given model. In the book, they are presented independently of specific models, so that the main ideas are explained, while remaining applicable to various situations. Such a presentation will facilitate application and implementation by researchers, as well as teaching to students.

Global Regularity for the Yang-Mills Equations on High Dimen

Автор: Krieger Joachim
Название: Global Regularity for the Yang-Mills Equations on High Dimen
ISBN: 082184489X ISBN-13(EAN): 9780821844892
Издательство: Eurospan
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Цена: 8149 р.
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Описание: This monograph contains a study of the global Cauchy problem for the Yang-Mills equations on (6 1) and higher dimensional Minkowski space, when the initial data sets are small in the critical gauge covariant Sobolev space H˙(n−4)/2A. Regularity is obtained through a certain ""microlocal geometric renormalization"" of the equations which is implemented via a family of approximate null Crönstrom gauge transformations. The argument is then reduced to controlling some degenerate elliptic equations in high index and non-isotropic Lp spaces, and also proving some bilinear estimates in specially constructed square-function spaces.

Regularity Properties of Functional Equations in Several Variables

Автор: JГЎrai Antal
Название: Regularity Properties of Functional Equations in Several Variables
ISBN: 0387244131 ISBN-13(EAN): 9780387244136
Издательство: Springer
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Цена: 15427 р.
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Описание: This book is about regularity properties of functional equations. In the second part of his fifth problem, Hilbert asked, concerning functional equations, "In how far are the assertions which we can make in the case of differentiable functions true under proper modifications without this assumption?” This book contains, in a unified fashion, most of the modern results about regularity of non-composite functional equations with several variables. These results show that "weak” regularity properties, say measurability or continuity, of solutions imply that they are in C[infinity], and hence the equation can be reduced to a differential equation. A long introduction highlights the basic ideas for beginners. Several applications are also included.

Smooth And Nonsmooth High Dimensional Chaos And The Melnikov-Type Methods

Автор: Smooth And Nonsmooth High Dimensional Chaos And The Melnikov-Type Methods
Название: Smooth And Nonsmooth High Dimensional Chaos And The Melnikov-Type Methods
ISBN: 9812709096 ISBN-13(EAN): 9789812709097
Издательство: World Scientific Publishing
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Цена: 14571 р.
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Описание: This book focuses on the development of Melnikov-type methods applied to high dimensional dynamical systems governed by ordinary differential equations. Although the classical Melnikov's technique has found various applications in predicting homoclinic intersections, it is devoted only to the analysis of three-dimensional systems (in the case of mechanics, they represent one-degree-of-freedom nonautonomous systems). This book extends the classical Melnikov's approach to the study of high dimensional dynamical systems, and uses simple models of dry friction to analytically predict the occurrence of both stick-slip and slip-slip chaotic orbits, research which is very rarely reported in the existing literature even on one-degree-of-freedom nonautonomous dynamics.This pioneering attempt to predict the occurrence of deterministic chaos of nonlinear dynamical systems will attract many researchers including applied mathe aticians, physicists, as well as practicing engineers.

Analytical formulas are explicitly formulated step-by-step, even attracting potential readers without a rigorous mathematical background.

Regularity Theory for Mean-Field Game Systems

Автор: Gomes
Название: Regularity Theory for Mean-Field Game Systems
ISBN: 3319389327 ISBN-13(EAN): 9783319389325
Издательство: Springer
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Цена: 4674 р.
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Описание: Beginning with a concise introduction to the theory of mean-field games (MFGs), this book presents the key elements of the regularity theory for MFGs. It then introduces a series of techniques for well-posedness in the context of mean-field problems, including stationary and time-dependent MFGs, subquadratic and superquadratic MFG formulations, and distinct classes of mean-field couplings. It also explores stationary and time-dependent MFGs through a series of a-priori estimates for solutions of the Hamilton-Jacobi and Fokker-Planck equation. It shows sophisticated a-priori systems derived using a range of analytical techniques, and builds on previous results to explain classical solutions. The final chapter discusses the potential applications, models and natural extensions of MFGs. As MFGs connect common problems in pure mathematics, engineering, economics and data management, this book is a valuable resource for researchers and graduate students in these fields.

Regularity of Minimal Surfaces

Автор: Dierkes
Название: Regularity of Minimal Surfaces
ISBN: 364211699X ISBN-13(EAN): 9783642116995
Издательство: Springer
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Цена: 11219 р.
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Описание: This is the second of a three-volume treatise on minimal surfaces. It deals with basic regularity results for minimal surfaces concerning their boundary behavior at Plateau boundaries and free boundaries.

Nonsmooth Analysis and Control Theory

Автор: Clarke
Название: Nonsmooth Analysis and Control Theory
ISBN: 0387983368 ISBN-13(EAN): 9780387983363
Издательство: Springer
Цена: 7479 р.
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Описание: In the last decades the subject of nonsmooth analysis has grown rapidly due to the recognition that nondifferentiable phenomena are more widespread, and play a more important role, than had been thought. In recent years, it has come to play a role in functional analysis, optimization, optimal design, mechanics and plasticity, differential equations, control theory, and, increasingly, in analysis. This volume presents the essentials of the subject clearly and succinctly, together with some of its applications and a generous supply of interesting exercises.

The book begins with an introductory chapter which gives the reader a sampling of what is to come while indicating at an early stage why the subject is of interest. The next three chapters constitute a course in nonsmooth analysis and identify a coherent and comprehensive approach to the subject leading to an efficient, natural, yet powerful body of theory. The last chapter, as its name implies, is a self-contained introduction to the theory of control of ordinary differential equations.

End-of-chapter problems also offer scope for deeper understanding. The authors have incorporated in the text a number of new results which clarify the relationships between the different schools of thought in the subject. Their goal is to make nonsmooth analysis accessible to a wider audience.

In this spirit, the book is written so as to be used by anyone who has taken a course in functional analysis.


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