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Nonautonomous Dynamics
Nonlinear Oscillations and Global Attractors
Taschenbuch von David N. Cheban
Sprache: Englisch

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Beschreibung
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).
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).
Zusammenfassung

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

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2021
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Springer Monographs in Mathematics
Inhalt: xxii
434 S.
1 s/w Illustr.
434 p. 1 illus.
ISBN-13: 9783030342944
ISBN-10: 3030342948
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Cheban, David N.
Auflage: 1st ed. 2020
Hersteller: Springer International Publishing
Springer International Publishing AG
Springer Monographs in Mathematics
Maße: 235 x 155 x 25 mm
Von/Mit: David N. Cheban
Erscheinungsdatum: 23.01.2021
Gewicht: 0,686 kg
Artikel-ID: 119509851
Zusammenfassung

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

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2021
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Springer Monographs in Mathematics
Inhalt: xxii
434 S.
1 s/w Illustr.
434 p. 1 illus.
ISBN-13: 9783030342944
ISBN-10: 3030342948
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Cheban, David N.
Auflage: 1st ed. 2020
Hersteller: Springer International Publishing
Springer International Publishing AG
Springer Monographs in Mathematics
Maße: 235 x 155 x 25 mm
Von/Mit: David N. Cheban
Erscheinungsdatum: 23.01.2021
Gewicht: 0,686 kg
Artikel-ID: 119509851
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