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Nonautonomous dynamics : nonlinear oscillations and global attractors / David N. Cheban.
Math/Physics/Astronomy Library QA845 .C54 2020
Available
- Format:
- Book
- Author/Creator:
- Cheban, David N., author.
- Series:
- Springer monographs in mathematics 1439-7382
- Springer monographs in mathematics, 1439-7382
- Language:
- English
- Subjects (All):
- Dynamics.
- Differential equations, Nonlinear.
- Differential equations.
- Differential equations, Partial.
- Ergodic theory.
- Mathematical physics.
- System theory.
- Physical Description:
- xxii, 434 pages ; 25 cm.
- Place of Publication:
- Cham, Switzerland : Springer, [2020]
- Summary:
- "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)"--Back cover.
- 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
- Gradientlike dynamical systems.
- Notes:
- Includes bibliographical references (pages 415-428) and index.
- ISBN:
- 9783030342913
- 3030342913
- OCLC:
- 1160203610
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