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Nonautonomous Dynamics : Nonlinear Oscillations and Global Attractors / by David N. Cheban
(Springer Monographs in Mathematics. ISSN:21969922)

Edition 1st ed. 2020.
Publisher (Cham : Springer International Publishing : Imprint: Springer)
Year 2020
Language English
Size XXII, 434 p. 1 illus : online resource
Authors *Cheban, David N author
SpringerLink (Online service)
Subjects LCSH:Dynamical systems
LCSH:Differential equations
LCSH:System theory
LCSH:Control theory
LCSH:Mathematical physics
FREE:Dynamical Systems
FREE:Differential Equations
FREE:Systems Theory, Control
FREE:Complex Systems
FREE:Mathematical Physics
Notes 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.
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)
HTTP:URL=https://doi.org/10.1007/978-3-030-34292-0
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E-Book オンライン 電子ブック

Springer eBooks 9783030342920
電子リソース
EB00234454

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Material Type E-Book
Classification LCC:QA843-871
DC23:515.39
ID 4000134684
ISBN 9783030342920

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