Nonautonomous Dynamics

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).

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

Texte du rabat
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).

Résumé
"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)

Contenu
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.