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20140310151447.0 |
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111003s2012 xxu| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781461406198 |
|
978-1-4614-0619-8 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA315-316 |
|
|---|
| Classification number |
QA402.3 |
|
|---|
| Classification number |
QA402.5-QA402.6 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
515.64 |
| Edition number |
23 |
| 264 #1 - |
|---|
| -- |
New York, NY : |
| -- |
Springer New York, |
| -- |
2012. |
| 912 ## - |
|---|
| -- |
ZDB-2-SMA |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Klyushin, D.A. |
| Relator term |
author. |
| 245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
|---|
| Title |
Generalized Solutions of Operator Equations and Extreme Elements |
| Medium |
[electronic resource] / |
| Statement of responsibility, etc |
by D.A. Klyushin, S.I. Lyashko, D.A. Nomirovskii, Yu.I. Petunin, V.V. Semenov. |
| 250 ## - EDITION STATEMENT |
|---|
| Edition statement |
1. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
XXII, 202 p. |
| Other physical details |
online resource. |
| 440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
|---|
| Title |
Springer Optimization and Its Applications, |
| International Standard Serial Number |
1931-6828 ; |
| Volume number/sequential designation |
55 |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
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.-. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Mathematics. |
|
|---|
| Topical term or geographic name as entry element |
Functional equations. |
|
|---|
| Topical term or geographic name as entry element |
Operator theory. |
|
|---|
| Topical term or geographic name as entry element |
Mathematical optimization. |
|
|---|
| Topical term or geographic name as entry element |
Topology. |
|
|---|
| Topical term or geographic name as entry element |
Mathematics. |
|
|---|
| Topical term or geographic name as entry element |
Calculus of Variations and Optimal Control; Optimization. |
|
|---|
| Topical term or geographic name as entry element |
Operator Theory. |
|
|---|
| Topical term or geographic name as entry element |
Difference and Functional Equations. |
|
|---|
| Topical term or geographic name as entry element |
Topology. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Lyashko, S.I. |
| Relator term |
author. |
|
|---|
| Personal name |
Nomirovskii, D.A. |
| Relator term |
author. |
|
|---|
| Personal name |
Petunin, Yu.I. |
| Relator term |
author. |
|
|---|
| Personal name |
Semenov, V.V. |
| Relator term |
author. |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
|---|
| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
|---|
| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Display text |
Printed edition: |
| International Standard Book Number |
9781461406181 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-1-4614-0619-8 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
|
| Item type |
E-Book |
