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Nonautonomous Dynamics

Nonlinear Oscillations and Global Attractors

Authors:

  • Contributes to understanding and predicting global attractors for a special class of nonautonomous dynamical systems
  • Author is a leading expert in dynamical systems
  • Successfully applied to the resolution of different problems in the theory of linear and non-linear nonautonomous differential equations for more than 50 years

Part of the book series: Springer Monographs in Mathematics (SMM)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xxii
  2. Compact Global Attractors

    • David N. Cheban
    Pages 81-137
  3. Analytical Dissipative Systems

    • David N. Cheban
    Pages 139-195
  4. Gradientlike Dynamical Systems

    • David N. Cheban
    Pages 351-413
  5. Back Matter

    Pages 415-434

About this book

This book emphasizes those topological methods (of dynamical systems) and theories that are useful in the study of different classes of nonautonomous evolutionary equations. The content is developed over six chapters, providing a thorough introduction to the techniques used in the Chapters III-VI described by Chapter I-II. 

The author gives a systematic treatment of the basic mathematical theory and constructive methods for Nonautonomous Dynamics. They show how these diverse topics are connected to other important parts of mathematics, including Topology, Functional Analysis and Qualitative Theory of Differential/Difference Equations. Throughout the book a nice balance is maintained between rigorous mathematics and applications (ordinary differential/difference equations, functional differential equations and partial difference equations). 

The primary readership includes graduate and PhD students and researchers inin the field of dynamical systems and their applications (control theory, economic dynamics,  mathematical theory of climate, population dynamics, oscillation theory etc).


Reviews

“This book contains the author's latest research results in the field of nonautonomous dynamical systems in recent years and provides very good material and research methods for the study of the existence, regularity, and stability of solutions to differential equations and the existence of global attractors, and makes an indelible contribution to the development of mathematics.” (Yongjun Li, Mathematical Reviews, October, 2022)

Authors and Affiliations

  • Faculty of Mathematics, State University of Moldova, Chisinau, Moldova

    David N. Cheban

Bibliographic Information

Buy it now

Buying options

eBook USD 99.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 129.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 129.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access