Theorems of Leray-Schauder Type And Applications, Precup, Radu

Автор: Antonio Villar
Название: Operator Theorems with Applications to Distributive Problems and Equilibrium Models
ISBN: 3540550879 ISBN-13(EAN): 9783540550877
Издательство: Springer
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Цена: 102480.00 T
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Описание: This monograph deals with the analysis of some formal problems involving operators in Euclidean spaces and their applications to economic modelling. It contains a set of results on the solvability of complementarity problems and variational inequalities.

Автор: Z. Semadeni
Название: Schauder Bases in Banach Spaces of Continuous Functions
ISBN: 3540114815 ISBN-13(EAN): 9783540114819
Издательство: Springer
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Цена: 23250.00 T
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Автор: Nicolai Leonenko
Название: Limit Theorems for Random Fields with Singular Spectrum
ISBN: 9401059470 ISBN-13(EAN): 9789401059473
Издательство: Springer
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Цена: 93160.00 T
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Описание: This book is devoted to an investigation of the basic problems of the the- ory of random fields which are characterized by certain singular properties (e. g., unboundedness, or vanishing) of their spectral densities. These ran- dom fields are called, the random fields with singular spectrum, long-memory fields, random fields with long-range dependence, fields with slowly decaying correlations or strongly dependent random fields by various authors. This phenomenon has been observed empirically by many scientists long before suitable mathematical models were known. The methods and results differ significantly from the theory of weakly dependent random fields. The first chapter presents basic concepts of the spectral theory of random fields, some examples of random processes and fields with singular spectrum, Tauberian and Abelian theorems for the covariance function of singular ran- dom fields. In the second chapter limit theorems for non-linear functionals of random fields with singular spectrum are proved. Chapter 3 summarizes some limit theorems for geometric functionals of random fields with long-range dependence. Limit distributions of the solutions of Burgers equation with random data via parabolic and hyperbolic rescaling are presented in chapter 4. And chapter 5 presents some problems of statistical analysis of random fields with singular spectrum. I would like to thank the editor, Michiel Hazewinkel, for his support. I am grateful to the following students and colleagues: 1. Deriev, A. Olenko, K. Rybasov, L. Sakhno, M. Sharapov, A. Sikorskii, M. Silac-BenSic. I would also like to thank V.Anh, O. Barndorff-Nielsen, Yu. Belyaev, P.

Автор: Claire Montemar
Название: Linear Algebra: Theorems and Applications
ISBN: 1773612123 ISBN-13(EAN): 9781773612126
Издательство: Mare Nostrum (Eurospan)
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Цена: 155230.00 T
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Описание: Welcome to the beginning of this book - an algebra book that shows and explains further topics than those that are covered in a primary course on linear algebra. Such course usually leaves the student with the question “Why in the world do I have to go through linear algebra?” which is absolutely understandable. Algebra, and other sciences in general, are not entities that one just needs to pass as a course. Sciences are masters that stay with you and are always there whenever you need them, that in some occasions we do not understand that those masters are something else.Before talking about the importance of algebra, let us first clear some details about this text. This book does not only contain a set of complicated equations with heavy definitions about abstract entities and problems that arise in several fields of mathematics, which in many other texts, makes you feel like you’re reading Mandarin. This book also contains clear and deductive explanations from different perspectives about those set of complicated equations, with the hope of making them accessible and easy to assimilate for the reader.Algebra is the science of representing life through equations while keeping it simple. The reason for writing this book was, at first, the decision to spread knowledge of such a great science that is usually feared by many young students and ignored by others, when in reality Algebra is a body of knowledge so beautiful within itself, as well as necessary dealing with or approaching many mathematical situations. As this book is being developed, another reason to continue to write it arose – there is a lack of easy-to-understand texts, which are supposed to be the high end books that today’s generation are obligated to read, in order to understand the subjects they should know to continue their formation in their respective careers.This book is dedicated to those who really want to learn linear algebra. But be warned, the journey is not promised to be easy as it will require dedication, honesty and time from the reader; but the journey will also be nurturing and revealing in the sense that at the end of each chapter, the reader will be able to say “I’ve got it!” in much the same way when Archimedes said “Eureka!” which means “I’ve found it!” In addition, this book also contains techniques and algorithms, along with their derivations and examples, which are used in the real world, thus helping the reader become a well prepared professional.Many texts, articles and lessons were used as resources for this book, however, the most used resource in the development of this text was common sense. You see, mathematics is a free science, a body of knowledge that anyone can derive on its own. This book is just a compendium of the works of many mathematicians through the centuries, making it possible for humankind to get to where it is today. And as life goes on, it is probable that further developments, researches and advances will continue. That was one of the main ideas in the background while writing this text - to make the reader able to fully understand as much knowledge in linear algebra as possible, especially those concerning methods and algorithms that arose in the twentieth century.Just as a brief comment, the first chapter of this book is dedicated to making certain topics clear to avoid confusion, and answering questions that usually arise during the first course in linear algebra. The rest of the chapters are more advanced and developed.

Автор: Vittorino Pata
Название: Fixed Point Theorems and Applications
ISBN: 3030196690 ISBN-13(EAN): 9783030196691
Издательство: Springer
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Цена: 46570.00 T
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Описание: This book addresses fixed point theory, a fascinating and far-reaching field with applications in several areas of mathematics. The content is divided into two main parts. The first, which is more theoretical, develops the main abstract theorems on the existence and uniqueness of fixed points of maps. In turn, the second part focuses on applications, covering a large variety of significant results ranging from ordinary differential equations in Banach spaces, to partial differential equations, operator theory, functional analysis, measure theory, and game theory. A final section containing 50 problems, many of which include helpful hints, rounds out the coverage. Intended for Master’s and PhD students in Mathematics or, more generally, mathematically oriented subjects, the book is designed to be largely self-contained, although some mathematical background is needed: readers should be familiar with measure theory, Banach and Hilbert spaces, locally convex topological vector spaces and, in general, with linear functional analysis.

Автор: Farmakis Ioannis
Название: Fixed Point Theorems and Their Applications
ISBN: 9814458910 ISBN-13(EAN): 9789814458917
Издательство: World Scientific Publishing
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Цена: 84480.00 T
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Описание: This is the only book that deals comprehensively with fixed point theorems throughout mathematics. Their importance is due, as the book demonstrates, to their wide applicability. Beyond the first chapter, each of the other seven can be read independently of the others so the reader has much flexibility to follow his/her own interests. The book is written for graduate students and professional mathematicians and could be of interest to physicists, economists and engineers.

Автор: Pankov, Mark
Название: Wigner-type theorems for hilbert grassmannians
ISBN: 1108790917 ISBN-13(EAN): 9781108790918
Издательство: Cambridge Academ
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Цена: 62310.00 T
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Описание: Wigner`s theorem plays an important role in the mathematical foundations of quantum mechanics. This book provides a quick, accessible introduction to the geometric approach to Wigner-type theorems, unifying both classical and more recent results, and is suitable for graduate students as well as more experienced researchers.

Автор: V.S. Vladimirov; Yu.N. Drozzinov; O.I. Zavialov
Название: Tauberian Theorems for Generalized Functions
ISBN: 9027723834 ISBN-13(EAN): 9789027723833
Издательство: Springer
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Цена: 102480.00 T
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Описание: Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non- trivially) in regional and theoretical economics;

Автор: Shoumei Li; Y. Ogura; V. Kreinovich
Название: Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables
ISBN: 9048161398 ISBN-13(EAN): 9789048161393
Издательство: Springer
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Цена: 93160.00 T
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Описание: After the pioneering works by Robbins {1944, 1945) and Choquet (1955), the notation of a set-valued random variable (called a random closed set in literatures) was systematically introduced by Kendall {1974) and Matheron {1975).

Автор: Maria do Ros?rio Grossinho; Stepan Agop Tersian
Название: An Introduction to Minimax Theorems and Their Applications to Differential Equations
ISBN: 0792368320 ISBN-13(EAN): 9780792368328
Издательство: Springer
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Цена: 139710.00 T
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Описание: This text is intended to be an introduction to critical point theory and its applications to differential equations. Its goals include: presenting a survey of existing minimax theorems; and giving applications to elliptic differential equations in bounded domains.

Автор: Subrahmanyam P. V.
Название: Elementary Fixed Point Theorems
ISBN: 981133157X ISBN-13(EAN): 9789811331572
Издательство: Springer
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Цена: 65210.00 T
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Описание: This book provides a primary resource in basic fixed-point theorems due to Banach, Brouwer, Schauder and Tarski and their applications. Key topics covered include Sharkovsky’s theorem on periodic points, Thron’s results on the convergence of certain real iterates, Shield’s common fixed theorem for a commuting family of analytic functions and Bergweiler’s existence theorem on fixed points of the composition of certain meromorphic functions with transcendental entire functions. Generalizations of Tarski’s theorem by Merrifield and Stein and Abian’s proof of the equivalence of Bourbaki–Zermelo fixed-point theorem and the Axiom of Choice are described in the setting of posets. A detailed treatment of Ward’s theory of partially ordered topological spaces culminates in Sherrer fixed-point theorem. It elaborates Manka’s proof of the fixed-point property of arcwise connected hereditarily unicoherent continua, based on the connection he observed between set theory and fixed-point theory via a certain partial order. Contraction principle is provided with two proofs: one due to Palais and the other due to Barranga. Applications of the contraction principle include the proofs of algebraic Weierstrass preparation theorem, a Cauchy–Kowalevsky theorem for partial differential equations and the central limit theorem. It also provides a proof of the converse of the contraction principle due to Jachymski, a proof of fixed point theorem for continuous generalized contractions, a proof of Browder–Gohde–Kirk fixed point theorem, a proof of Stalling's generalization of Brouwer's theorem, examine Caristi's fixed point theorem, and highlights Kakutani's theorems on common fixed points and their applications.