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Nonautonomous Dynamics

Nonlinear Oscillations and Global Attractors

  • David N. Cheban
Book
  • 439 Downloads

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

Table of contents

  1. Front Matter
    Pages i-xxii
  2. David N. Cheban
    Pages 81-137
  3. David N. Cheban
    Pages 139-195
  4. David N. Cheban
    Pages 351-413
  5. Back Matter
    Pages 415-434

About this book

Introduction

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 in in the field of dynamical systems and their applications (control theory, economic dynamics,  mathematical theory of climate, population dynamics, oscillation theory etc).

Keywords

Dynamical Systems nonautonomous evolutionary equations Nonautonomous Dynamics Topology Functional Analysis and Qualitative Theory mathematical theory of climate

Authors and affiliations

  • David N. Cheban
    • 1
  1. 1.Faculty of MathematicsState University of MoldovaChisinauMoldova

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-34292-0
  • Copyright Information Springer Nature Switzerland AG 2020
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-34291-3
  • Online ISBN 978-3-030-34292-0
  • Series Print ISSN 1439-7382
  • Series Online ISSN 2196-9922
  • Buy this book on publisher's site