Overview

"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."

Full Product Details

Author:   D.A. Klyushin ,  S.I. Lyashko ,  D.A. Nomirovskii ,  Yu.I. Petunin
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2012 ed.
Volume:   55
Dimensions:   Width: 15.50cm , Height: 1.40cm , Length: 23.50cm
Weight:   0.506kg
ISBN:  

9781461406181

ISBN 10:   1461406188
Pages:   202
Publication Date:   04 October 2011
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Awaiting stock  
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Table of 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.-

Reviews

From the reviews: This monograph principally deals with a unified approach to the notion of generalized solutions for linear and nonlinear operator equations between Banach spaces X and Y and, to a smaller degree, to the notion of generalized solutions to extremal problems for real functions defined on a set M of a Banach space. ... this book is written sufficiently well and is easy readable. Undoubtedly, it will be interesting for all specialists in Functional Analysis and Partial Differential Equations. (P. P. Zabreiko, Mathematical Reviews, Issue 2012 j)

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