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Topological Analysis: From the Basics to the Triple Degree for Nonlinear Fredholm Inclusions, Martin Vath


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Автор: Martin Vath
Название:  Topological Analysis: From the Basics to the Triple Degree for Nonlinear Fredholm Inclusions
ISBN: 9783110277227
Издательство: Walter de Gruyter
Классификация:

ISBN-10: 3110277220
Обложка/Формат: Hardcover
Страницы: 499
Вес: 0.97 кг.
Дата издания: 18.05.2012
Серия: Mathematics
Язык: English
Читательская аудитория: Professional and scholarly
Ключевые слова: Calculus & mathematical analysis,Geometry, MATHEMATICS / Functional Analysis,MATHEMATICS / Geometry / General,MATHEMATICS / Mathematical Analysis,MATHEMATICS / Research,MATHEMATICS / Topology
Поставляется из: Германии
Описание: This monograph aims to give a self-contained introduction into the whole field of topological analysis: Requiring essentially only basic knowledge of elementary calculus and linear algebra, it provides all required background from topology, analysis, linear and nonlinear functional analysis, and multivalued maps, containing even basic topics like separation axioms, inverse and implicit function theorems, the Hahn-Banach theorem, Banach manifolds, or the most important concepts of continuity of multivalued maps. Thus, it can be used as additional material in basic courses on such topics. The main intention, however, is to provide also additional information on some fine points which are usually not discussed in such introductory courses. The selection of the topics is mainly motivated by the requirements for degree theory which is presented in various variants, starting from the elementary Brouwer degree (in Euclidean spaces and on manifolds) with several of its famous classical consequences, up to a general degree theory for function triples which applies for a large class of problems in a natural manner. Although it has been known to specialists that, in principle, such a general degree theory must exist, this is the first monograph in which the corresponding theory is developed in detail.

Stochastic Differential Inclusions and Applications

Автор: Kisielewicz Michal
Название: Stochastic Differential Inclusions and Applications
ISBN: 1461467551 ISBN-13(EAN): 9781461467557
Издательство: Springer
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Цена: 65210.00 T
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Описание: This book develops the theory of stochastic functional inclusions and applications for describing solutions of initial and boundary value problems for partial differential inclusions. Uses new, original methods to characterize stochastic functional inclusions.

Fractional Evolution Equations and Inclusions

Автор: Yong Zhou
Название: Fractional Evolution Equations and Inclusions
ISBN: 012804277X ISBN-13(EAN): 9780128042779
Издательство: Elsevier Science
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Цена: 77470.00 T
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Описание:

Fractional evolution inclusions are an important form of differential inclusions within nonlinear mathematical analysis. They are generalizations of the much more widely developed fractional evolution equations (such as time-fractional diffusion equations) seen through the lens of multivariate analysis. Compared to fractional evolution equations, research on the theory of fractional differential inclusions is however only in its initial stage of development.

This is important because differential models with the fractional derivative providing an excellent instrument for the description of memory and hereditary properties, and have recently been proved valuable tools in the modeling of many physical phenomena.

The fractional order models of real systems are always more adequate than the classical integer order models, since the description of some systems is more accurate when the fractional derivative is used. The advantages of fractional derivatization become evident in modeling mechanical and electrical properties of real materials, description of rheological properties of rocks and in various other fields. Such models are interesting for engineers and physicists as well as so-called pure mathematicians.

Phenomena investigated in hybrid systems with dry friction, processes of controlled heat transfer, obstacle problems and others can be described with the help of various differential inclusions, both linear and nonlinear.

Fractional Evolution Equations and Inclusions is devoted to a rapidly developing area of the research for fractional evolution equations & inclusions and their applications to control theory. It studies Cauchy problems for fractional evolution equations, and fractional evolution inclusions with Hille-Yosida operators. It discusses control problems for systems governed by fractional evolution equations. Finally it provides an investigation of fractional stochastic evolution inclusions in Hilbert spaces.


Multiscale Methods for Fredholm Integral Equations

Автор: Chen
Название: Multiscale Methods for Fredholm Integral Equations
ISBN: 1107103479 ISBN-13(EAN): 9781107103474
Издательство: Cambridge Academ
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Цена: 174240.00 T
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Описание: The authors present the state of the art in fast multiscale methods, from traditional numerical methods to the recently developed wavelet-based approach. Theorems of functional analysis used throughout the book are summarised in an appendix. Selected chapters are suitable for a one-semester course for advanced undergraduates or beginning graduates.

Solution Sets for Differential Equations and Inclusions

Автор: Djebali Sma L., G. Rniewicz Lech, Ouahab Abdelghan
Название: Solution Sets for Differential Equations and Inclusions
ISBN: 3110293447 ISBN-13(EAN): 9783110293449
Издательство: Walter de Gruyter
Рейтинг:
Цена: 173490.00 T
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Описание:

The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome.

Editor-in-Chief
Jrgen Appell, Wrzburg, Germany

Honorary and Advisory Editors
Catherine Bandle, Basel, Switzerland
Alain Bensoussan, Richardson, Texas, USA
Avner Friedman, Columbus, Ohio, USA
Umberto Mosco, Worcester, Massachusetts, USA
Louis Nirenberg, New York, USA
Alfonso Vignoli, Rome, Italy

Editorial Board
Manuel del Pino, Santiago, Chile
Mikio Kato, Nagano, Japan
Wojciech Kryszewski, Toruń, Poland
Simeon Reich, Haifa, Israel
Katrin Wendland, Freiburg, Germany

Please submit book proposals to Jrgen Appell.

Titles in planning include

Eduardo V. Teixeira, Free Boundary Problems: A Primer (2018)
Lucio Damascelli and Filomena Pacella, Morse Index of Solutions of Nonlinear Elliptic Equations (2019)
Rafael Ortega, Periodic Differential Equations in the Plane: A Topological Perspective (2019)
Cyril Tintarev, Profile Decompositions and Cocompactness: Functional-Analytic Theory of Concentration Compactness (2020)
Takashi Suzuki, Semilinear Elliptic Equations: Classical and Modern Theories (2021)


Topological Methods in Differential Equations and Inclusions

Автор: Gert Sabidussi; Andrzej Granas; Marl?ne Frigon
Название: Topological Methods in Differential Equations and Inclusions
ISBN: 079233678X ISBN-13(EAN): 9780792336785
Издательство: Springer
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Цена: 309330.00 T
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Описание: The topics covered in this text, which contains the proceedings of a NATO ASI conference held in Montreal, include: non-smooth critical point theory; second order differential equations on manifolds and forced oscillations; and a topological approach to differential inclusions.

Fractional-Order Equations and Inclusions

Автор: Michal Feckan, JinRong Wang, Michal Pospisil
Название: Fractional-Order Equations and Inclusions
ISBN: 3110521385 ISBN-13(EAN): 9783110521382
Издательство: Walter de Gruyter
Цена: 148700.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:

This book presents fractional difference, integral, differential, evolution equations and inclusions, and discusses existence and asymptotic behavior of their solutions. Controllability and relaxed control results are obtained. Combining rigorous deduction with abundant examples, it is of interest to nonlinear science researchers using fractional equations as a tool, and physicists, mechanics researchers and engineers studying relevant topics.

Contents
Fractional Difference Equations
Fractional Integral Equations
Fractional Differential Equations
Fractional Evolution Equations: Continued
Fractional Differential Inclusions


Advanced functional evolution equations and inclusions

Автор: Benchohra, Mouffak Abbas, Said
Название: Advanced functional evolution equations and inclusions
ISBN: 3319177672 ISBN-13(EAN): 9783319177670
Издательство: Springer
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Цена: 93160.00 T
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Описание: Advanced Functional Evolution Equations and Inclusions

Advanced Functional Evolution Equations and Inclusions

Автор: Sa?d Abbas; Mouffak Benchohra
Название: Advanced Functional Evolution Equations and Inclusions
ISBN: 3319367250 ISBN-13(EAN): 9783319367255
Издательство: Springer
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Цена: 88500.00 T
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Описание: The exposition is devoted to both local and global mild solutions for some classes of functional differential evolution equations and inclusions, and other densely and non-densely defined functional differential equations and inclusions in separable Banach spaces or in Frechet spaces.

Fredholm and Local Spectral Theory II

Название: Fredholm and Local Spectral Theory II
ISBN: 303002265X ISBN-13(EAN): 9783030022655
Издательство: Springer
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Цена: 37260.00 T
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Описание: This monograph concerns the relationship between the local spectral theory and Fredholm theory of bounded linear operators acting on Banach spaces. The purpose of this book is to provide a first general treatment of the theory of operators for which Weyl-type or Browder-type theorems hold.The product of intensive research carried out over the last ten years, this book explores for the first time in a monograph form, results that were only previously available in journal papers.Written in a simple style, with sections and chapters following an easy, natural flow, it will be an invaluable resource for researchers in Operator Theory and Functional Analysis. The reader is assumed to be familiar with the basic notions of linear algebra, functional analysis and complex analysis.

Generalized Inverse Operators: And Fredholm Boundary-Value Problems

Автор: Alexander Andreevych Boichuk, Anatolii M. Samoilen
Название: Generalized Inverse Operators: And Fredholm Boundary-Value Problems
ISBN: 3110378396 ISBN-13(EAN): 9783110378399
Издательство: Walter de Gruyter
Цена: 161100.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The book is devoted to the foundations of the theory of boundary-value problems for various classes of systems of differential-operator equations whose linear part is represented by Fredholm operators of the general form. A common point of view on numerous classes of problems that were traditionally studied independently of each other enables us to study, in a natural way, the theory of these problems, to supplement and improve the existing results, and in certain cases, study some of these problems for the first time.With the help of the technique of generalized inverse operators, the Vishik– Lyusternik method, and iterative methods, we perform a detailed investigation of the problems of existence, bifurcations, and branching of the solutions of linear and nonlinear boundary-value problems for various classes of differential-operator systems and propose new procedures for their construction.For more than 11 years that have passed since the appearance of the first edition of the monograph, numerous new publications of the authors in this direction have appeared. In this connection, it became necessary to make some additions and corrections to the previous extensively cited edition, which is still of signifi cant interest for the researchers.For researchers, teachers, post-graduate students, and students of physical and mathematical departments of universities. Contents:Preliminary InformationGeneralized Inverse Operators in Banach SpacesPseudoinverse Operators in Hilbert SpacesBoundary-Value Problems for Operator EquationsBoundary-Value Problems for Systems of Ordinary Differential EquationsImpulsive Boundary-Value Problems for Systems of Ordinary Differential EquationsSolutions of Differential and Difference Systems Bounded on the Entire Real Axis

Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities

Автор: Bashir Ahmad; Ahmed Alsaedi; Sotiris K. Ntouyas; J
Название: Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities
ISBN: 3319521403 ISBN-13(EAN): 9783319521404
Издательство: Springer
Рейтинг:
Цена: 102480.00 T
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Описание: This book focuses on the recent development of fractional differential equations, integro-differential equations, and inclusions and inequalities involving the Hadamard derivative and integral.

Differential Inclusions in Nonsmooth Mechanical Problems

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