Modern Mathematics and Mechanics

Fundamentals, Problems and Challenges

  • Victor A. Sadovnichiy
  • Michael Z.  Zgurovsky

Part of the Understanding Complex Systems book series (UCS)

Table of contents

  1. Front Matter
    Pages i-xxii
  2. Differential Geometry

    1. Front Matter
      Pages 1-1
    2. Vladimir V. Galatenko, Taras P. Lukashenko, Victor A. Sadovnichiy
      Pages 3-11
    3. Sergey Dashkovskiy, Petro Feketa, Oleksiy V. Kapustyan, Iryna V. Romaniuk
      Pages 57-78
    4. Oleg Barabash, Oleg Kopiika, Iryna Zamrii, Valentyn Sobchuk, Andrey Musienko
      Pages 79-95
  3. Solid Mechanics

  4. Dynamics of Differential and Difference Equations and Applications

    1. Front Matter
      Pages 193-193
    2. Xiaoying Han, Peter E. Kloeden, Jacson Simsen
      Pages 195-214
    3. María J. Garrido-Atienza, Björn Schmalfuß, José Valero
      Pages 215-236
    4. M. R. Arias, R. Benítez, V. J. Bolós
      Pages 237-259
    5. Paulo Henrique da Costa, Michael A. Högele, Paulo Regis Ruffino
      Pages 283-311
    6. Luu Hoang Duc, Phan Thanh Hong
      Pages 313-333
    7. O. I. Klesov, I. Molchanov
      Pages 335-350
    8. Oleksandr M. Stanzhytskyi, Viktoria V. Mogilova, Alisa O. Tsukanova
      Pages 351-395
  5. Modern Methods of Optimization and Control Sciences for Continuum Mechanics

About this book


In this book international expert authors provide solutions for modern fundamental problems including the complexity of computing of critical points for set-valued mappings, the behaviour of solutions of ordinary differential equations, partial differential equations and difference equations, or the development of an abstract theory of global attractors for multi-valued impulsive dynamical systems. These abstract mathematical approaches are applied to problem-solving in solid mechanics, hydro- and aerodynamics, optimization, decision making theory and control theory. This volume is therefore relevant to mathematicians as well as engineers working at the interface of these fields.


differential geometry solid mechanics modern methods of optimization and control difference equations and applications decision-making theory Integrable Hamiltonian Systems Topological entropy

Editors and affiliations

  • Victor A. Sadovnichiy
    • 1
  • Michael Z.  Zgurovsky
    • 2
  1. 1.Lomonosov Moscow State UniversityMoscowRussia
  2. 2.National Technical University of Ukraine, “Igor Sikorsky Kyiv Polytechnic Institute”KyivUkraine

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing AG, part of Springer Nature 2019
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-319-96754-7
  • Online ISBN 978-3-319-96755-4
  • Series Print ISSN 1860-0832
  • Series Online ISSN 1860-0840
  • Buy this book on publisher's site
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