Springer Optimization and Its Applications

Generalized Solutions of Operator Equations and Extreme Elements

Authors: Klyushin, D.A., Lyashko, S.I., Nomirovskii, D.A., Petunin, Y.I., Semenov, V.

  • Contains recently obtained results in linear operator theory with applications to optimal control theory
  • Provides new methods of identifying solutions of linear and nonlinear operator equations
  • Can serve as a text in graduate courses and seminars in functional analysis and optimal control theory
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eBook $109.00
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  • ISBN 978-1-4614-0619-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
  • ISBN 978-1-4614-0618-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.00
price for USA
  • ISBN 978-1-4614-2964-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
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About this book

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.

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. Zabreĭko, 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)


Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-1-4614-0619-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
  • ISBN 978-1-4614-0618-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.00
price for USA
  • ISBN 978-1-4614-2964-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Generalized Solutions of Operator Equations and Extreme Elements
Authors
Series Title
Springer Optimization and Its Applications
Series Volume
55
Copyright
2012
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media LLC
eBook ISBN
978-1-4614-0619-8
DOI
10.1007/978-1-4614-0619-8
Hardcover ISBN
978-1-4614-0618-1
Softcover ISBN
978-1-4614-2964-7
Series ISSN
1931-6828
Edition Number
1
Number of Pages
XXII, 202
Topics