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

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: 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: 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: 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: 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: 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: 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: 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.

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: 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.