Studies in Systems, Decision and Control

Qualitative and Quantitative Analysis of Nonlinear Systems

Theory and Applications

Authors: Zgurovsky, Michael Z., Kasyanov, Pavlo O.

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  • Focuses on specific topics of nonlinear systems
  • Includes constructive existence results and regularity theorems for all weak solutions
  • Presents convergence results for solutions and their approximations in strongest topologies of the natural phase and extended phase spaces
  • Explains uniform global behavior of solutions in time and pointwise behavior of solutions for autonomous problems with possible gaps by the phase variables 
  • Discusses numerous applications, including applied problems in physics, chemistry, biology and economics
  •  Is addressed to a wide readership from the fields of mathematics, mechanics and engineering 
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eBook 118,99 €
price for Spain (gross)
  • ISBN 978-3-319-59840-6
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  • Immediate eBook download after purchase
Hardcover 145,59 €
price for Spain (gross)
  • ISBN 978-3-319-59839-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 145,59 €
price for Spain (gross)
  • ISBN 978-3-319-86715-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

Here, the authors present modern methods of analysis for nonlinear systems which may occur in fields such as physics, chemistry, biology, or economics. They concentrate on the following topics, specific for such systems:

(a) constructive existence results and regularity theorems for all weak solutions; 

(b) convergence results for solutions and their approximations; 

(c) uniform global behavior of solutions in time; and

(d) pointwise behavior of solutions for autonomous problems with possible gaps by the phase variables. The general methodology for the investigation of dissipative dynamical systems with several applications including nonlinear parabolic equations of divergent form, nonlinear stochastic equations of parabolic type, unilateral problems, nonlinear PDEs on Riemannian manifolds with or without boundary, contact problems as well as particular examples is established. As such, the book is addressed to a wide circle of mathematical, mechanical and engineering readers.

Reviews

“This book presents a collection of known and new results on evolutional nonlinear systems which appear in a variety of applications in physics, mechanics, economy, biology and chemistry. … The book contains also a nice introduction on basic classes of problems presented with some historical comments. The entire book is clearly written, uses a modern notation and without a doubt it can be recommended to all researchers in this interesting field.” (Stanislaw Migórski, zbMATH 1402.93016, 2019)

Table of contents (9 chapters)

Table of contents (9 chapters)
  • Qualitative Methods for Classes of Nonlinear Systems: Constructive Existence Results

    Pages 3-45

    Zgurovsky, Michael Z. (et al.)

  • Regularity of Solutions for Nonlinear Systems

    Pages 47-68

    Zgurovsky, Michael Z. (et al.)

  • Advances in the 3D Navier-Stokes Equations

    Pages 69-86

    Zgurovsky, Michael Z. (et al.)

  • Strongest Convergence Results for Weak Solutions of Non-autonomous Reaction-Diffusion Equations with Carathéodory’s Nonlinearity

    Pages 89-109

    Zgurovsky, Michael Z. (et al.)

  • Strongest Convergence Results for Weak Solutions of Feedback Control Problems

    Pages 111-124

    Zgurovsky, Michael Z. (et al.)

Buy this book

eBook 118,99 €
price for Spain (gross)
  • ISBN 978-3-319-59840-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 145,59 €
price for Spain (gross)
  • ISBN 978-3-319-59839-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 145,59 €
price for Spain (gross)
  • ISBN 978-3-319-86715-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Qualitative and Quantitative Analysis of Nonlinear Systems
Book Subtitle
Theory and Applications
Authors
Series Title
Studies in Systems, Decision and Control
Series Volume
111
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-59840-6
DOI
10.1007/978-3-319-59840-6
Hardcover ISBN
978-3-319-59839-0
Softcover ISBN
978-3-319-86715-1
Series ISSN
2198-4182
Edition Number
1
Number of Pages
XXXIII, 240
Number of Illustrations
20 b/w illustrations, 23 illustrations in colour
Topics