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Generalized Solutions of Operator Equations and Extreme Elements

  • D.A. Klyushin
  • S.I. Lyashko
  • D.A. Nomirovskii
  • Yu.I. Petunin
  • V.V. Semenov

Part of the Springer Optimization and Its Applications book series (SOIA, volume 55)

Table of contents

  1. Front Matter
    Pages i-xxi
  2. D. A. Klyushin, S. I. Lyashko, D. A. Nomirovskii, Yu. I. Petunin, V. V. Semenov
    Pages 1-5
  3. D. A. Klyushin, S. I. Lyashko, D. A. Nomirovskii, Yu. I. Petunin, V. V. Semenov
    Pages 7-15
  4. D. A. Klyushin, S. I. Lyashko, D. A. Nomirovskii, Yu. I. Petunin, V. V. Semenov
    Pages 17-27
  5. D. A. Klyushin, S. I. Lyashko, D. A. Nomirovskii, Yu. I. Petunin, V. V. Semenov
    Pages 29-101
  6. D. A. Klyushin, S. I. Lyashko, D. A. Nomirovskii, Yu. I. Petunin, V. V. Semenov
    Pages 103-124
  7. D. A. Klyushin, S. I. Lyashko, D. A. Nomirovskii, Yu. I. Petunin, V. V. Semenov
    Pages 125-136
  8. D. A. Klyushin, S. I. Lyashko, D. A. Nomirovskii, Yu. I. Petunin, V. V. Semenov
    Pages 137-161
  9. D. A. Klyushin, S. I. Lyashko, D. A. Nomirovskii, Yu. I. Petunin, V. V. Semenov
    Pages 163-194
  10. Back Matter
    Pages 195-202

About this book

Introduction

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.

Authors and affiliations

  • D.A. Klyushin
    • 1
  • S.I. Lyashko
    • 2
  • D.A. Nomirovskii
    • 3
  • Yu.I. Petunin
    • 4
  • V.V. Semenov
    • 5
  1. 1., Department of CyberneticsKyiv National Taras Shevchenko UniversitKyivUkraine
  2. 2.University of Kiev, Dept. CyberneticsNational Taras ShevchenkoKievUkraine
  3. 3., Department of CyberneticsKyiv National Taras Shevchenko UniversitKyivUkraine
  4. 4.University of Kiev, Dept. CyberneticsNational Taras ShevchenkoKievUkraine
  5. 5., Department of CyberneticsKyiv National Taras Shevchenko UniversitKyivUkraine

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4614-0619-8
  • Copyright Information Springer Science+Business Media, LLC 2012
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4614-0618-1
  • Online ISBN 978-1-4614-0619-8
  • Series Print ISSN 1931-6828
  • Buy this book on publisher's site
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