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Nonautonomous dynamics = nonlinear oscillations and global attractors /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Nonautonomous dynamics/ by David N. Cheban.
Reminder of title:	nonlinear oscillations and global attractors /
Author:	Cheban, David N.
Published:	Cham :Springer International Publishing : : 2020.,
Description:	xxii, 434 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer eBooks
Subject:	Differential equations, Nonlinear. -
Online resource:	https://doi.org/10.1007/978-3-030-34292-0
ISBN:	9783030342920

Nonautonomous dynamics = nonlinear oscillations and global attractors /
Cheban, David N.

Nonautonomous dynamicsnonlinear oscillations and global attractors /[electronic resource] :by David N. Cheban. - Cham :Springer International Publishing :2020. - xxii, 434 p. :ill., digital ;24 cm. - Springer monographs in mathematics,1439-7382. - Springer monographs in mathematics..

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 in in the field of dynamical systems and their applications (control theory, economic dynamics, mathematical theory of climate, population dynamics, oscillation theory etc)

ISBN: 9783030342920

Standard No.: 10.1007/978-3-030-34292-0doiSubjects--Topical Terms:

604084
Differential equations, Nonlinear.

LC Class. No.: QA372 / .C443 2020

Dewey Class. No.: 515.355

Nonautonomous dynamics = nonlinear oscillations and global attractors /
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505 0 $a 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.
520 $a 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)
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