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Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems, Gasinski, Leszek , Papageorgiou, Nikolaos S.


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Автор: Gasinski, Leszek , Papageorgiou, Nikolaos S.
Название:  Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems
ISBN: 9780367394059
Издательство: Taylor&Francis
Классификация:

ISBN-10: 0367394057
Обложка/Формат: Paperback
Страницы: 790
Вес: 1.47 кг.
Дата издания: 20.12.2019
Серия: Mathematical Analysis and Applications
Язык: English
Размер: 234 x 155 x 43
Читательская аудитория: Tertiary education (us: college)
Основная тема: Mathematical Physics
Ссылка на Издательство: Link
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Поставляется из: Европейский союз
Описание:

Starting in the early 1980s, people using the tools of nonsmooth analysis developed some remarkable nonsmooth extensions of the existing critical point theory. Until now, however, no one had gathered these tools and results together into a unified, systematic survey of these advances.

This book fills that gap. It provides a complete presentation of nonsmooth critical point theory, then goes beyond it to study nonlinear second order boundary value problems. The authors do not limit their treatment to problems in variational form. They also examine in detail equations driven by the p-Laplacian, its generalizations, and their spectral properties, studying a wide variety of problems and illustrating the powerful tools of modern nonlinear analysis. The presentation includes many recent results, including some that were previously unpublished. Detailed appendices outline the fundamental mathematical tools used in the book, and a rich bibliography forms a guide to the relevant literature.

Most books addressing critical point theory deal only with smooth problems, linear or semilinear problems, or consider only variational methods or the tools of nonlinear operators. Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems offers a comprehensive treatment of the subject that is up-to-date, self-contained, and rich in methods for a wide variety of problems.



Nonsmooth Vector Functions and Continuous Optimization

Автор: V. Jeyakumar; Dinh The Luc
Название: Nonsmooth Vector Functions and Continuous Optimization
ISBN: 1441944729 ISBN-13(EAN): 9781441944726
Издательство: Springer
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Цена: 121110.00 T
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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.

Differential Inclusions in Nonsmooth Mechanical Problems

Автор: Monteiro Marques
Название: Differential Inclusions in Nonsmooth Mechanical Problems
ISBN: 3034876165 ISBN-13(EAN): 9783034876162
Издательство: Springer
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Цена: 65210.00 T
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Regularity Concepts in Nonsmooth Analysis

Автор: Messaoud Bounkhel
Название: Regularity Concepts in Nonsmooth Analysis
ISBN: 1489989374 ISBN-13(EAN): 9781489989376
Издательство: Springer
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Цена: 111790.00 T
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Описание: The results presented in this book are a product of research conducted by the author independently and in collaboration with other researchers in the field. The second part gathers the most prominent and recent results of various regularity concepts of sets, functions, and set-valued mappings in nonsmooth analysis.

Nonsmooth Analysis and Geometric Methods in Deterministic Optimal Control

Автор: Boris S. Mordukhovich; Hector J. Sussmann
Название: Nonsmooth Analysis and Geometric Methods in Deterministic Optimal Control
ISBN: 1461384915 ISBN-13(EAN): 9781461384915
Издательство: Springer
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Цена: 97820.00 T
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Описание: This IMA Volume in Mathematics and its Applications NONSMOOTH ANALYSIS AND GEOMETRIC METHODS IN DETERMINISTIC OPTIMAL CONTROL is based on the proceedings of a workshop that was an integral part of the 1992-93 IMA program on "Control Theory.

Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models

Автор: F. Giannessi; A. Maugeri; Panos M. Pardalos
Название: Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models
ISBN: 144195208X ISBN-13(EAN): 9781441952080
Издательство: Springer
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Цена: 153720.00 T
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Описание: The aim of the book is to cover the three fundamental aspects of research in equilibrium problems: the statement problem and its formulation using mainly variational methods, its theoretical solution by means of classical and new variational tools, the calculus of solutions and applications in concrete cases.

Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models

Автор: F. Giannessi; A. Maugeri; Panos M. Pardalos
Название: Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models
ISBN: 1402001614 ISBN-13(EAN): 9781402001611
Издательство: Springer
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Цена: 153720.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The aim of the book is to cover the three fundamental aspects of research in equilibrium problems: the statement problem and its formulation using mainly variational methods, its theoretical solution by means of classical and new variational tools, the calculus of solutions and applications in concrete cases.

Nonsmooth Approach to Optimization Problems with Equilibrium Constraints

Автор: Jiri Outrata; M. Kocvara; J. Zowe
Название: Nonsmooth Approach to Optimization Problems with Equilibrium Constraints
ISBN: 0792351703 ISBN-13(EAN): 9780792351702
Издательство: Springer
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Цена: 176970.00 T
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Описание: Presents an in-depth study and a solution technique for an important class of optimization problems. This book begins with a chapter on auxiliary results followed by a description of the main numerical tools: a bundle method of nonsmooth optimization and a nonsmooth variant of Newton`s method.

A Variational Approach to Nonsmooth Dynamics

Автор: Samir Adly
Название: A Variational Approach to Nonsmooth Dynamics
ISBN: 3319686577 ISBN-13(EAN): 9783319686578
Издательство: Springer
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Цена: 51230.00 T
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Описание:

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.


Nonsmooth Optimization and Its Applications

Автор: Seyedehsomayeh Hosseini; Boris S. Mordukhovich; An
Название: Nonsmooth Optimization and Its Applications
ISBN: 3030113698 ISBN-13(EAN): 9783030113698
Издательство: Springer
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Цена: 79190.00 T
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Описание: Since nonsmooth optimization problems arise in a diverse range of real-world applications, the potential impact of efficient methods for solving such problems is undeniable. Even solving difficult smooth problems sometimes requires the use of nonsmooth optimization methods, in order to either reduce the problem’s scale or simplify its structure. Accordingly, the field of nonsmooth optimization is an important area of mathematical programming that is based on by now classical concepts of variational analysis and generalized derivatives, and has developed a rich and sophisticated set of mathematical tools at the intersection of theory and practice.This volume of ISNM is an outcome of the workshop 'Nonsmooth Optimization and its Applications,' which was held from May 15 to 19, 2017 at the Hausdorff Center for Mathematics, University of Bonn. The six research articles gathered here focus on recent results that highlight different aspects of nonsmooth and variational analysis, optimization methods, their convergence theory and applications.

Differentiability of Six Operators on Nonsmooth Functions and p-Variation

Автор: R. M. Dudley; J. Qian; R. Norvai?a
Название: Differentiability of Six Operators on Nonsmooth Functions and p-Variation
ISBN: 3540659757 ISBN-13(EAN): 9783540659754
Издательство: Springer
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Цена: 37220.00 T
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Описание: Concerns the differentiability of six operators on functions or pairs of functions, composition (f of g), integration (of f dg), multiplication and convolution of two functions, and the product integral and inverse operators for one function. Knowledge of basic real analysis is essential.

Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods

Автор: Masao Fukushima; Liqun Qi
Название: Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods
ISBN: 1441948058 ISBN-13(EAN): 9781441948052
Издательство: Springer
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Цена: 153720.00 T
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Описание: The concept of "reformulation" has long been playing an important role in mathematical programming. A classical example is the penalization technique in constrained optimization that transforms the constraints into the objective function via a penalty function thereby reformulating a constrained problem as an equivalent or approximately equivalent unconstrained problem. More recent trends consist of the reformulation of various mathematical programming prob- lems, including variational inequalities and complementarity problems, into equivalent systems of possibly nonsmooth, piecewise smooth or semismooth nonlinear equations, or equivalent unconstrained optimization problems that are usually differentiable, but in general not twice differentiable. Because of the recent advent of various tools in nonsmooth analysis, the reformulation approach has become increasingly profound and diversified. In view of growing interests in this active field, we planned to organize a cluster of sessions entitled "Reformulation - Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods" in the 16th International Symposium on Mathematical Programming (ismp97) held at Lausanne EPFL, Switzerland on August 24-29, 1997. Responding to our invitation, thirty-eight people agreed to give a talk within the cluster, which enabled us to organize thirteen sessions in total. We think that it was one of the largest and most exciting clusters in the symposium. Thanks to the earnest support by the speakers and the chairpersons, the sessions attracted much attention of the participants and were filled with great enthusiasm of the audience.


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