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The Resource Generalized solutions of operator equations and extreme elements, D.A. Klyushin ... [et al.], (electronic resource)
Generalized solutions of operator equations and extreme elements, D.A. Klyushin ... [et al.], (electronic resource)
Resource Information
The item Generalized solutions of operator equations and extreme elements, D.A. Klyushin ... [et al.], (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Generalized solutions of operator equations and extreme elements, D.A. Klyushin ... [et al.], (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 The 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 a general functional analytic approach to solving operator equations in a general form. This unique and valuable monograph presents recently obtained results in the study of the generalized solutions of operator equations and extreme elements in linear topological spaces. The results are clearly and thoroughly presented and offer new methods of identifying these solutions and studying their properties. These methods are based on a priori estimations and a general topological approach to construct generalized solutions of linear and nonlinear operator equations. This volume is intended for mathematicians, graduate students and researchers studying functional analysis, operator theory, and the theory of optimal control. Prerequisites include knowledge of basic functional analysis
 Language
 eng
 Extent
 1 online resource (xxi, 202 p.)
 Contents

 Preface
 1. Fundamental notions, general and auxiliary facts
 2. Simplest schemes of generalized solution of linear operator equations
 3. A priori estimations for linear continuous operator
 4. Applications of the theory of generalized solvability of linear equations
 5. Scheme of generalized solutions of linear operator equations
 6. Scheme of generalized solutions of nonlinear operator equations
 7. Generalized extreme elements
 Reference.
 Isbn
 9781461406198
 Label
 Generalized solutions of operator equations and extreme elements
 Title
 Generalized solutions of operator equations and extreme elements
 Statement of responsibility
 D.A. Klyushin ... [et al.]
 Subject

 Mathematics
 Topology
 Electronic books
 Functional equations
 Operator theory
 Operator equations
 Electronic resources
 Operator equations
 Mathematical optimization
 Operator equations
 Operator equations
 Calculus of Variations and Optimal Control; Optimization
 Difference and Functional Equations
 Operator equations
 Operator equations
 Language
 eng
 Summary
 The 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 a general functional analytic approach to solving operator equations in a general form. This unique and valuable monograph presents recently obtained results in the study of the generalized solutions of operator equations and extreme elements in linear topological spaces. The results are clearly and thoroughly presented and offer new methods of identifying these solutions and studying their properties. These methods are based on a priori estimations and a general topological approach to construct generalized solutions of linear and nonlinear operator equations. This volume is intended for mathematicians, graduate students and researchers studying functional analysis, operator theory, and the theory of optimal control. Prerequisites include knowledge of basic functional analysis
 Cataloging source
 GW5XE
 Image bit depth
 0
 LC call number
 QA329
 LC item number
 .G46 2012
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName

 SpringerLink
 Klyushin, D. A
 Series statement
 Springer Optimization and Its Applications,
 Series volume
 55
 http://library.link/vocab/subjectName

 Operator equations
 Operator equations
 Label
 Generalized solutions of operator equations and extreme elements, D.A. Klyushin ... [et al.], (electronic resource)
 Antecedent source
 mixed
 Bibliography note
 Includes bibliographical references (p. 195199) and index
 Color
 not applicable
 Contents
 Preface  1. Fundamental notions, general and auxiliary facts  2. Simplest schemes of generalized solution of linear operator equations  3. A priori estimations for linear continuous operator  4. Applications of the theory of generalized solvability of linear equations  5. Scheme of generalized solutions of linear operator equations  6. Scheme of generalized solutions of nonlinear operator equations  7. Generalized extreme elements  Reference.
 Dimensions
 unknown
 Extent
 1 online resource (xxi, 202 p.)
 File format
 multiple file formats
 Form of item

 online
 electronic
 Isbn
 9781461406198
 Level of compression
 uncompressed
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (OCoLC)757938542
 (OCoLC)ocn757938542
 Label
 Generalized solutions of operator equations and extreme elements, D.A. Klyushin ... [et al.], (electronic resource)
 Antecedent source
 mixed
 Bibliography note
 Includes bibliographical references (p. 195199) and index
 Color
 not applicable
 Contents
 Preface  1. Fundamental notions, general and auxiliary facts  2. Simplest schemes of generalized solution of linear operator equations  3. A priori estimations for linear continuous operator  4. Applications of the theory of generalized solvability of linear equations  5. Scheme of generalized solutions of linear operator equations  6. Scheme of generalized solutions of nonlinear operator equations  7. Generalized extreme elements  Reference.
 Dimensions
 unknown
 Extent
 1 online resource (xxi, 202 p.)
 File format
 multiple file formats
 Form of item

 online
 electronic
 Isbn
 9781461406198
 Level of compression
 uncompressed
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (OCoLC)757938542
 (OCoLC)ocn757938542
Subject
 Calculus of Variations and Optimal Control; Optimization
 Difference and Functional Equations
 Electronic books
 Electronic resources
 Functional equations
 Mathematical optimization
 Mathematics
 Operator equations
 Operator equations
 Operator equations
 Operator equations
 Operator equations
 Operator equations
 Operator theory
 Topology
Genre
Member of
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