The Resource Generalized solutions of operator equations and extreme elements, D.A. Klyushin [and others]
Generalized solutions of operator equations and extreme elements, D.A. Klyushin [and others]
Resource Information
The item Generalized solutions of operator equations and extreme elements, D.A. Klyushin [and others] represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Generalized solutions of operator equations and extreme elements, D.A. Klyushin [and others] represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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 pages).
 Contents

 The major definitions, concepts and auxiliary facts
 The simplest schemes of generalized solution of linear operator equation
 A Priori estimates for linear continuous operators
 Applications of the theory of generalized solvability of linear equations
 Computation of nearsolutions of operator equations
 General scheme of the construction of generalized solutions of operator equations
 Concept of generalized solution of nonlinear operator equation
 Generalized extreme elements
 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 [and others]
 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
 Dewey number
 515/.724
 Index
 index present
 LC call number
 QA329
 LC item number
 .G46 2012
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorName
 Klyushin, D. A
 Series statement
 Springer optimization and its applications,
 Series volume
 v. 55
 http://library.link/vocab/subjectName

 Operator equations
 MATHEMATICS
 MATHEMATICS
 Operator equations
 Label
 Generalized solutions of operator equations and extreme elements, D.A. Klyushin [and others]
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references (pages 195199) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 The major definitions, concepts and auxiliary facts  The simplest schemes of generalized solution of linear operator equation  A Priori estimates for linear continuous operators  Applications of the theory of generalized solvability of linear equations  Computation of nearsolutions of operator equations  General scheme of the construction of generalized solutions of operator equations  Concept of generalized solution of nonlinear operator equation  Generalized extreme elements
 Control code
 757938542
 Dimensions
 unknown
 Extent
 1 online resource (xxi, 202 pages).
 File format
 unknown
 Form of item
 online
 Isbn
 9781461406198
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)757938542
 Label
 Generalized solutions of operator equations and extreme elements, D.A. Klyushin [and others]
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references (pages 195199) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 The major definitions, concepts and auxiliary facts  The simplest schemes of generalized solution of linear operator equation  A Priori estimates for linear continuous operators  Applications of the theory of generalized solvability of linear equations  Computation of nearsolutions of operator equations  General scheme of the construction of generalized solutions of operator equations  Concept of generalized solution of nonlinear operator equation  Generalized extreme elements
 Control code
 757938542
 Dimensions
 unknown
 Extent
 1 online resource (xxi, 202 pages).
 File format
 unknown
 Form of item
 online
 Isbn
 9781461406198
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)757938542
Subject
 Calculus of Variations and Optimal Control; Optimization
 Difference and Functional Equations
 Functional equations
 MATHEMATICS  Calculus
 MATHEMATICS  Mathematical Analysis
 Mathematical optimization
 Mathematics
 Operator equations
 Operator equations
 Operator equations
 Operator theory
 Topology
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Generalizedsolutionsofoperatorequationsand/Zoa5bklQetM/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Generalizedsolutionsofoperatorequationsand/Zoa5bklQetM/">Generalized solutions of operator equations and extreme elements, D.A. Klyushin [and others]</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>