Nonautonomous Dynamics: Nonlinear Oscillations and Global Attractors

Author:   David N. Cheban
Publisher:   Springer Nature Switzerland AG
Edition:   1st ed. 2020
ISBN:  

9783030342913


Pages:   434
Publication Date:   23 January 2020
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Nonautonomous Dynamics: Nonlinear Oscillations and Global Attractors


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Overview

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).

Full Product Details

Author:   David N. Cheban
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
Edition:   1st ed. 2020
Weight:   0.846kg
ISBN:  

9783030342913


ISBN 10:   3030342913
Pages:   434
Publication Date:   23 January 2020
Audience:   Professional and scholarly ,  College/higher education ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Almost Periodic Motions of Dynamical Systems.- Compact Global Attractors.- Analytical Dissipative Systems.- Almost Periodic Solutions of Linear Differential Equations.- Almost Periodic Solutions of Monotone Differential Equations.- Gradient-Like Dynamical Systems. 

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)


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