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Titlebook: Variational Analysis and Generalized Differentiation II; Applications Boris S. Mordukhovich Book 2006 Springer-Verlag Berlin Heidelberg 200

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书目名称Variational Analysis and Generalized Differentiation II
副标题Applications
编辑Boris S. Mordukhovich
视频video
概述Comprehensive and state-of-the art study of the basic concepts and principles of variational analysis and generalized differentiation in both finite-dimensional and infinite-dimensional spaces.Include
丛书名称Grundlehren der mathematischen Wissenschaften
图书封面Titlebook: Variational Analysis and Generalized Differentiation II; Applications Boris S. Mordukhovich Book 2006 Springer-Verlag Berlin Heidelberg 200
描述.Variational analysis has been recognized as a fruitful area in mathematics that on the one hand deals with the study of optimization and equilibrium problems and on the other hand applies optimization, perturbation, and approximation ideas to the analysis of a broad range of problems that may not be of a variational natur. One of the most characteristic features of modern variational analysis is the intrinsic presence of nonsmoothness, which naturally enters not only through initial data of optimization-related problems but largely via variational principles and perturbation techniques. Thus generalized differential lies at the hear of variational analysis and its applications...This monographs contains a comprehensive and and state-of-the art study of the basic concepts and principles of variational analysis and generalized differentiation in both finite-dimensional and infinite dimensional spaces and presents numerous applications to problems in the optimization, equilibria, stability and sensitivity, control theory, economics, mechanics, etc. The book is published in two volumes, the first of which is mainly devoted to the basic theory of variational analysis and generalized di
出版日期Book 2006
关键词differential inclusions; economics; equilibria; evolution systems; multi-objective optimization; optimal
版次1
doihttps://doi.org/10.1007/3-540-31246-3
isbn_softcover978-3-642-06483-8
isbn_ebook978-3-540-31246-8Series ISSN 0072-7830 Series E-ISSN 2196-9701
issn_series 0072-7830
copyrightSpringer-Verlag Berlin Heidelberg 2006
The information of publication is updating

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Boris S. Mordukhovich it is rarely defined and even less frequently examined systematically. As a result, self-reliance has too often been dismissed as merely part of the ideological jargon that necessarily accompanies discussions of the new international economic order.
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Optimal Control of Distributed Systemsat involve . of both Dirichlet and Neumann types as well as .. All the mentioned problems have not been sufficiently studied in the literature; most of the material presented in this chapter is based on recent results developed by the author and his collaborators.
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Constrained Optimization and Equilibriaof constrained optimization and equilibrium problems with possibly nonsmooth data. Actually it is a ., since . as clearly follows from the previous material. Let us particularly mention variational descriptions of the normals and subgradients under consideration in both finite and infinite dimension
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