Qualitative Analysis of Set-Valued Differential Equations, Martynyuk Anatoly A.

Автор: Ahmad Shair
Название: Textbook on Ordinary Differential Equations
ISBN: 3319164074 ISBN-13(EAN): 9783319164076
Издательство: Springer
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Цена: 46570.00 T
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Описание: The second edition has been revised to correct minor errata, and features a number of carefully selected new exercises, together with more detailed explanations of some of the topics. A complete Solutions Manual, containing solutions to all the exercises published in the book, is available.

Автор: Jacob Niels, Evans Kristian P.
Название: A Course in Analysis: Vol. III: Measure and Integration Theory, Complex-Valued Functions of a Complex Variable
ISBN: 9813221631 ISBN-13(EAN): 9789813221635
Издательство: World Scientific Publishing
Цена: 73920.00 T
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Описание: 'It is a great book for a first year (US) graduate student. One of the nice features of the book is that the book contains full solutions for all of the problems which make it useful as reference for self-study or qualifying exam prep.' (See Full Review)MAA ReviewsIn this third volume of 'A Course in Analysis', two topics indispensible for every mathematician are treated: Measure and Integration Theory; and Complex Function Theory.In the first part measurable spaces and measure spaces are introduced and Caratheodory's extension theorem is proved. This is followed by the construction of the integral with respect to a measure, in particular with respect to the Lebesgue measure in the Euclidean space. The Radon-Nikodym theorem and the transformation theorem are discussed and much care is taken to handle convergence theorems with applications, as well as Lp-spaces.Integration on product spaces and Fubini's theorem is a further topic as is the discussion of the relation between the Lebesgue integral and the Riemann integral. In addition to these standard topics we deal with the Hausdorff measure, convolutions of functions and measures including the Friedrichs mollifier, absolutely continuous functions and functions of bounded variation. The fundamental theorem of calculus is revisited, and we also look at Sard's theorem or the Riesz-Kolmogorov theorem on pre-compact sets in Lp-spaces.The text can serve as a companion to lectures, but it can also be used for self-studying. This volume includes more than 275 problems solved completely in detail which should help the student further.

Автор: John Ball; Paolo Marcellini; Bernard Dacorogna; Ni
Название: Vector-Valued Partial Differential Equations and Applications
ISBN: 3319545132 ISBN-13(EAN): 9783319545134
Издательство: Springer
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Цена: 41920.00 T
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Описание: Collating different aspects of Vector-valued Partial Differential Equations and Applications, this volume is based on the 2013 CIME Course with the same name which took place at Cetraro, Italy, under the scientific direction of John Ball and Paolo Marcellini.

Автор: O`regan, Donal Agarwal, Ravi P.
Название: Set valued mappings with applications in nonlinear analysis
ISBN: 0367395789 ISBN-13(EAN): 9780367395780
Издательство: Taylor&Francis
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Цена: 65320.00 T
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Описание: Interest in the mathematical analysis of multi-functions has increased rapidly over the past thirty years, partly because of its applications in fields such as biology, control theory and optimization, economics, game theory, and physics. Set Valued Mappings with Applications to Nonlinear Analysis contains 29 research articles from leading mathematicians in this area. The contributors were invited to submit papers on topics such as integral inclusion, ordinary and partial differential inclusions, fixed point theorems, boundary value problems, and optimal control. This collection will be of interest to researchers in analysis and will pave the way for the creation of new mathematics in the future.

Автор: Aram Arutyunov, Valeri Obukhovskii
Название: Convex and Set-Valued Analysis
ISBN: 3110460289 ISBN-13(EAN): 9783110460285
Издательство: Walter de Gruyter
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Цена: 74320.00 T
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Описание: This textbook is devoted to a compressed and self-contained exposition of two important parts of contemporary mathematics: convex and set-valued analysis. In the first part, properties of convex sets, the theory of separation, convex functions and their differentiability, properties of convex cones in finite- and infinite-dimensional spaces are discussed. The second part covers some important parts of set-valued analysis. There the properties of the Hausdorff metric and various continuity concepts of set-valued maps are considered. The great attention is paid also to measurable set-valued functions, continuous, Lipschitz and some special types of selections, fixed point and coincidence theorems, covering set-valued maps, topological degree theory and differential inclusions. Contents: PrefacePart I: Convex analysisConvex sets and their propertiesThe convex hull of a set. The interior of convex setsThe affine hull of sets. The relative interior of convex setsSeparation theorems for convex setsConvex functionsClosedness, boundedness, continuity, and Lipschitz property of convex functionsConjugate functionsSupport functionsDifferentiability of convex functions and the subdifferentialConvex conesA little more about convex cones in infinite-dimensional spacesA problem of linear programmingMore about convex sets and convex hullsPart II: Set-valued analysisIntroduction to the theory of topological and metric spacesThe Hausdorff metric and the distance between setsSome fine properties of the Hausdorff metricSet-valued maps. Upper semicontinuous and lower semicontinuous set-valued mapsA base of topology of the spaceHc(X)Measurable set-valued maps. Measurable selections and measurable choice theoremsThe superposition set-valued operatorThe Michael theorem and continuous selections. Lipschitz selections. Single-valued approximationsSpecial selections of set-valued mapsDifferential inclusionsFixed points and coincidences of maps in metric spacesStability of coincidence points and properties of covering mapsTopological degree and fixed points of set-valued maps in Banach spacesExistence results for differential inclusions via the fixed point methodNotationBibliographyIndex

Автор: P. N. Natarajan
Название: Sequence Spaces and Summability Over Valued Fields
ISBN: 0367236621 ISBN-13(EAN): 9780367236625
Издательство: Taylor&Francis
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Цена: 117390.00 T
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Описание: The main object of the present book is two-fold. Firstly, it supplements the comparatively small bulk of literature relating to sequence spaces and matrix transformations in non-archimedean analysis. Secondly, it illustrates how new proofs are necessary for proving the exact analogues of classical results.

Автор: Regina S. Burachik; Alfredo N. Iusem
Название: Set-Valued Mappings and Enlargements of Monotone Operators
ISBN: 1441943463 ISBN-13(EAN): 9781441943460
Издательство: Springer
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Цена: 60550.00 T
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Описание: This is the first comprehensive book treatment of the emerging subdiscipline of set-valued mapping and enlargements of maximal monotone operators. Throughout the text, examples help readers make the bridge from theory to application. Numerous exercises are also offered to enable readers to apply and build their own skills and knowledge.

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: Yang Xu; Da Ruan; Keyun Qin; Jun Liu
Название: Lattice-Valued Logic
ISBN: 3642072798 ISBN-13(EAN): 9783642072796
Издательство: Springer
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Цена: 174130.00 T
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Описание: The book provides the suitable theoretical logical background of lattice-valued logic systems and supports newly designed intelligent uncertain-information-processing systems and a wide spectrum of intelligent learning tasks.

Автор: I. Gohberg; L.A. Sakhnovich
Название: Matrix and Operator Valued Functions
ISBN: 3034896670 ISBN-13(EAN): 9783034896672
Издательство: Springer
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Цена: 46570.00 T
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Описание: A collection of papers on different aspects of operator theory and complex analysis, covering the recent achievements of the Odessa-Kharkov school, where Potapov was very active. The book appeals to a wide group of mathematicians and engineers, and much of the material can be used for advanced courses and seminars.

Автор: Lavinia Corina Ciungu
Название: Non-commutative Multiple-Valued Logic Algebras
ISBN: 3319032992 ISBN-13(EAN): 9783319032993
Издательство: Springer
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Цена: 88500.00 T
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Описание: This monograph provides a self-contained introduction to non-commutative multiple-valued logic algebras. It includes treatment of pseudo-BCK algebras, pseudo-hoops, residuated lattices, bounded divisible residuated lattices, and pseudo-MV algebras.

Автор: Chuang-Gan Hu; Chung-Chun Yang
Название: Vector-Valued Functions and their Applications
ISBN: 0792316053 ISBN-13(EAN): 9780792316053
Издательство: Springer
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Цена: 71730.00 T
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Описание: Focuses on the theory of vector-valued functions with one variable. Among the topics covered are the properties of complex functions in a complex plane and infinite-dimensional spaces, and the solution of vector-valued equations by complex analysis and functional analysis.