Continuous and Distributed Systems II

Theory and Applications

  • Viktor A. Sadovnichiy
  • Mikhail Z. Zgurovsky

Part of the Studies in Systems, Decision and Control book series (SSDC, volume 30)

Table of contents

  1. Front Matter
    Pages i-xxiii
  2. Applied Methods of Modern Algebra and Analysis

    1. Front Matter
      Pages 1-1
    2. V. V. Galatenko, T. P. Lukashenko, V. A. Sadovnichiy
      Pages 3-10
    3. Vladimir Nikolaevich Chubarikov, Gleb Vladimirovich Fedorov
      Pages 29-36
    4. Alexander O. Ivanov, Alexander S. Mishchenko, Alexey A. Tuzhilin
      Pages 37-81
    5. V. V. Palin, E. V. Radkevich
      Pages 83-99
  3. Non-autonomous and Stochastic Dynamical Systems

    1. Front Matter
      Pages 101-101
    2. Tomás Caraballo, Xiaoying Han, Peter E. Kloeden, Alain Rapaport
      Pages 103-120
    3. Piotr Kalita, Grzegorz Łukaszewicz
      Pages 149-166
    4. María J. Garrido-Atienza, Kening Lu, Björn Schmalfuß
      Pages 167-188
    5. Jacson Simsen, Érika Capelato
      Pages 209-219
    6. Mikhail Z. Zgurovsky, Pavlo O. Kasyanov
      Pages 221-232
    7. Mark O. Gluzman, Nataliia V. Gorban, Pavlo O. Kasyanov
      Pages 233-243
  4. Optimization, Control and Decision Sciences for Continuum Mechanics Problems

    1. Front Matter
      Pages 245-245
    2. Victor A. Sadovnichiy, Vladimir V. Alexandrov, Stephan S. Lemak, Dmitry I. Bugrov, Katerina V. Tikhonova, Raul Temoltzi Avila
      Pages 247-265
    3. Mikhail Z. Zgurovsky, Pavlo O. Kasyanov, Liliia S. Paliichuk, Alla M. Tkachuk
      Pages 267-276
    4. V. O. Kapustyan, O. A. Kapustian, O. V. Kapustyan, O. K. Mazur
      Pages 297-314
  5. Fundamental and Computational Mechanics

About this book


As in the previous volume on the topic, the authors close the gap between abstract mathematical approaches, such as applied methods of modern algebra and analysis, fundamental and computational mechanics, nonautonomous and stochastic dynamical systems, on the one hand, and practical applications in nonlinear mechanics, optimization, 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 biochemistry, geophysics, biology and climatology. This compilation will be of interest to mathematicians and engineers working at the interface of these fields. It presents selected works of the joint seminar series of Lomonosov Moscow State University and the Institute for Applied System Analysis at National Technical University of Ukraine “Kyiv Polytechnic Institute”. The authors come from Brazil, Germany, France, Mexico, Spain, Poland, Russia, Ukraine, and the USA. 


Amino Acids Geometry Controlled Piezoelectric Fields Geodesic Flows Non-autonomous Chemostat Models Ornstein–Uhlenbeck processes Orthorecursive Expansions Polypeptides Geometry Solitary Wave Interactions Stochastic Lattice Differential Equations Theory of Constitutive Relations

Editors and affiliations

  • Viktor A. Sadovnichiy
    • 1
  • Mikhail Z. Zgurovsky
    • 2
  1. 1.Lomonosov Moscow State UniversityMoscowRussia
  2. 2.Kiev Polytechnic InstituteNational Technical University UkraineKievUkraine

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-319-19074-7
  • Online ISBN 978-3-319-19075-4
  • Series Print ISSN 2198-4182
  • Series Online ISSN 2198-4190
  • Buy this book on publisher's site
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