ENGLISH

Generalized Solutions of Operator Equations and Extreme Elements

By S.I. Lyashko , D.A. Klyushin , D.A. Nomirovskii , Yu.I. Petunin , V.V. Semenov (auth.)

Book information

Publisher
Springer-Verlag New York
Year
2012
ISBN
9781461406181, 1461406188
DOI
10.1007/978-1-4614-0619-8
Language
english
Format
PDF
Filesize
1 MB (1290091 bytes)
Series
Springer Optimization and Its Applications 55
Edition
1
Pages
202\225
Library
Kolxo3
Orientation
yes
Scanned
no
Time added
2012-08-21 20:00:00
Calculus of Variations and Optimal Control; Optimi

Description

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.

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