Generalized Solutions of Operator Equations and Extreme Elements

Inbunden, Engelska, 2011

Av D.A. Klyushin, S.I. Lyashko, D.A. Nomirovskii, Yu.I. Petunin, Vladimir Semenov, D. a. Klyushin, S. I. Lyashko, D. A. Klyushin, D. A. Nomirovskii, Yu. I. Petunin

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"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.

Produktinformation

Utgivningsdatum2011-10-04
Mått155 x 235 x 16 mm
Vikt506 g
FormatInbunden
SpråkEngelska
SerieSpringer Optimization and Its Applications
Antal sidor202
Upplaga2012
FörlagSpringer-Verlag New York Inc.
ISBN9781461406181

Tillhör följande kategorier

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.-

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) "This is a well-written, self-contained and easily readable monograph, with a reasonable number of references to English written papers and books. It can be recommended to everyone interested in the topic and having some background in functional analysis and topology." (Robert Plato, Zentralblatt MATH, Vol. 1240, 2012)