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Titlebook: Generalized Solutions of Operator Equations and Extreme Elements; D.A. Klyushin,S.I. Lyashko,V.V. Semenov Book 2012 Springer Science+Busin

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书目名称Generalized Solutions of Operator Equations and Extreme Elements
编辑D.A. Klyushin,S.I. Lyashko,V.V. Semenov
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概述Contains recently obtained results in linear operator theory with applications to optimal control theory.Provides new methods of identifying solutions of linear and nonlinear operator equations.Can se
丛书名称Springer Optimization and Its Applications
图书封面Titlebook: Generalized Solutions of Operator Equations and Extreme Elements;  D.A. Klyushin,S.I. Lyashko,V.V. Semenov Book 2012 Springer Science+Busin
描述Abstract models for many problems in science and engineering take the form of an operator equation. The resolution of these problems often requires determining the existence and uniqueness of solutions to these equations. "Generalized Solutions of Operator Equations and Extreme Elements" presents recently obtained results in the study of the generalized solutions of operator equations and extreme elements in linear topological spaces. The presented results offer new methods of identifying these solutions and studying their properties. These new methods involve the application of a priori estimations and a general topological approach to construct generalized solutions of linear and nonlinear operator equations. The monograph is intended for mathematicians, graduate students and researchers studying functional analysis, operator theory, and the theory of optimal control.
出版日期Book 2012
版次1
doihttps://doi.org/10.1007/978-1-4614-0619-8
isbn_softcover978-1-4614-2964-7
isbn_ebook978-1-4614-0619-8Series ISSN 1931-6828 Series E-ISSN 1931-6836
issn_series 1931-6828
copyrightSpringer Science+Business Media LLC 2012
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The Major Definitions, Concepts and Auxiliary Facts,
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The Simplest Schemes of Generalized Solution of Linear Operator Equation,
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A Priori Estimates for Linear Continuous Operators,
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Applications of the Theory of Generalized Solvability of Linear Equations,
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Computation of Near-Solutions of Operator Equations,
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Concept of Generalized Solution of Nonlinear Operator Equation,
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