Language: English
Published by World Scientific Publishing Co, 2020
ISBN 10: 9811220212 ISBN 13: 9789811220210
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Published by Berlin, Springer Berlin., 2013
ISBN 10: 3642370691 ISBN 13: 9783642370694
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Published by Berlin/Boston, De Gruyter., 2001
ISBN 10: 3110169894 ISBN 13: 9783110169898
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Reprint 2011. 17 x 24 cm. XI, 231 S. Hardcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. (De Gruyter Series in Nonlinear Analysis and Applications, 7). Sprache: Englisch.
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Language: English
Published by World Scientific Publishing Co, 2020
ISBN 10: 9811220212 ISBN 13: 9789811220210
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Language: English
Published by World Scientific Publishing Co, 2020
ISBN 10: 9811220212 ISBN 13: 9789811220210
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Paperback. Condition: New. 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.
Language: English
Published by World Scientific Publishing Co, 2020
ISBN 10: 9811220212 ISBN 13: 9789811220210
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Paperback. Condition: Brand New. 2013 edition. 177 pages. 9.25x6.25x0.50 inches. In Stock.
Language: English
Published by World Scientific Publishing Co, 2020
ISBN 10: 9811220212 ISBN 13: 9789811220210
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Published by World Scientific Publishing Co, 2020
ISBN 10: 9811220212 ISBN 13: 9789811220210
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Published by World Scientific Publishing Co, 2020
ISBN 10: 9811220212 ISBN 13: 9789811220210
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Paperback. Condition: Brand New. 262 pages. 9.45x6.69x0.71 inches. In Stock.
Language: English
Published by World Scientific Publishing Co, 2020
ISBN 10: 9811220212 ISBN 13: 9789811220210
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Published by World Scientific Publishing Co Pte Ltd, 2020
ISBN 10: 9811220212 ISBN 13: 9789811220210
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Language: English
Published by World Scientific Publishing Co, 2020
ISBN 10: 9811220212 ISBN 13: 9789811220210
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Language: English
Published by Springer Berlin Heidelberg, 2013
ISBN 10: 3642370691 ISBN 13: 9783642370694
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book offers a self-contained introduction to the theory of guiding functions methods, which can be used to study the existence of periodic solutions and their bifurcations in ordinary differential equations, differential inclusions and in control theory. It starts with the basic concepts of nonlinear and multivalued analysis, describes the classical aspects of the method of guiding functions, and then presents recent findings only available in the research literature. It describes essential applications in control theory, the theory of bifurcations, and physics, making it a valuable resource not only for 'pure' mathematicians, but also for students and researchers working in applied mathematics, the engineering sciences and physics.
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