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Continuous and Distributed Systems

Theory and Applications

  • Mikhail Z. Zgurovsky
  • Victor A. Sadovnichiy

Part of the Solid Mechanics and Its Applications book series (SMIA, volume 211)

Table of contents

  1. Front Matter
    Pages i-xix
  2. Abstract Algebra and Applications

    1. Front Matter
      Pages 1-1
    2. Anatoly T. Fomenko, Andrei Konyaev
      Pages 3-21
    3. L. P. Dobrovolskaya, M. N. Dobrovolsky, N. M. Dobrovol’skii, N. N. Dobrovolsky
      Pages 23-62
    4. S. A. Smirnov, O. O. Glushchenko, K. A. Ilchuk, I. L. Makeenko, N. A. Oriekhova
      Pages 81-86
  3. Mechanics and Numerical Methods

  4. Long-time Forecasting in Multidisciplinary Investigations

    1. Front Matter
      Pages 147-147
    2. Oleksiy V. Kapustyan, Pavlo O. Kasyanov, José Valero, Mikhail Z. Zgurovsky
      Pages 163-180
    3. Pavlo O. Kasyanov, Luisa Toscano, Nina V. Zadoianchuk
      Pages 181-187
    4. Nataliia V. Gorban, Oleksiy V. Kapustyan, Pavlo O. Kasyanov, Liliia S. Paliichuk
      Pages 221-237
  5. Control Theory and Decision Making

    1. Front Matter
      Pages 239-239
    2. Victor I. Ivanenko, Valery A. Labkovsky
      Pages 241-250
    3. Eugene A. Feinberg, Pavlo O. Kasyanov, Mikhail Z. Zgurovsky
      Pages 251-264
    4. V. O. Kapustyan, O. A. Kapustian, O. K. Mazur
      Pages 303-312
    5. Nataliya D. Pankratova, Andrii M. Raduk
      Pages 313-326
  6. Back Matter
    Pages 327-333

About this book

Introduction

In this volume, the authors close the gap between abstract mathematical approaches, such as abstract algebra, number theory, nonlinear functional analysis, partial differential equations, methods of nonlinear and multi-valued analysis, on the one hand, and practical applications in nonlinear mechanics, decision making theory and control theory on the other.

Readers will also benefit from the presentation of modern mathematical modeling methods for the numerical solution of complicated engineering problems in hydromechanics, geophysics and mechanics of continua. This compilation will be of interest to mathematicians and engineers working at the interface of these field. It presents selected works of the open seminar series of Lomonosov Moscow State University and the National Technical University of Ukraine “Kyiv Polytechnic Institute”. The authors come from Germany, Italy, Spain, Russia, Ukraine, and the USA.

Keywords

Control Theory and Decision Making Global Attractors Long-time Forecasting Optimal Control Problems Variational Inequality Problems

Editors and affiliations

  • Mikhail Z. Zgurovsky
    • 1
  • Victor A. Sadovnichiy
    • 2
  1. 1.National Academy of ScienceNational Technical University of UkraineKievUkraine
  2. 2.Lomonosov Moscow State UniversityMoscowRussia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-03146-0
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-03145-3
  • Online ISBN 978-3-319-03146-0
  • Series Print ISSN 0925-0042
  • Series Online ISSN 2214-7764
  • Buy this book on publisher's site