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Asymptotic Behavior of Dissipative Systems
 
Front Cover for Asymptotic Behavior of Dissipative Systems
Available Formats:
Softcover ISBN: 978-0-8218-4934-7
Product Code: SURV/25.S
198 pp 
List Price: $91.00
MAA Member Price: $81.90
AMS Member Price: $72.80
Electronic ISBN: 978-1-4704-1252-4
Product Code: SURV/25.S.E
198 pp 
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $136.50
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Front Cover for Asymptotic Behavior of Dissipative Systems
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Asymptotic Behavior of Dissipative Systems
Available Formats:
Softcover ISBN:  978-0-8218-4934-7
Product Code:  SURV/25.S
198 pp 
List Price: $91.00
MAA Member Price: $81.90
AMS Member Price: $72.80
Electronic ISBN:  978-1-4704-1252-4
Product Code:  SURV/25.S.E
198 pp 
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $136.50
MAA Member Price: $122.85
AMS Member Price: $109.20
  • Book Details
     
     
    Mathematical Surveys and Monographs
    Volume: 251988
    MSC: Primary 58; Secondary 34; 35;

    This monograph reports the advances that have been made in the area by the author and many other mathematicians; it is an important source of ideas for the researchers interested in the subject.

    Zentralblatt MATH

    Although advanced, this book is a very good introduction to the subject, and the reading of the abstract part, which is elegant, is pleasant. … this monograph will be of valuable interest for those who aim to learn in the very rapidly growing subject of infinite-dimensional dissipative dynamical systems.

    Mathematical Reviews

    This book is directed at researchers in nonlinear ordinary and partial differential equations and at those who apply these topics to other fields of science. About one third of the book focuses on the existence and properties of the flow on the global attractor for a discrete or continuous dynamical system. The author presents a detailed discussion of abstract properties and examples of asymptotically smooth maps and semigroups. He also covers some of the continuity properties of the global attractor under perturbation, its capacity and Hausdorff dimension, and the stability of the flow on the global attractor under perturbation. The remainder of the book deals with particular equations occurring in applications and especially emphasizes delay equations, reaction-diffusion equations, and the damped wave equations. In each of the examples presented, the author shows how to verify the existence of a global attractor, and, for several examples, he discusses some properties of the flow on the global attractor.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Discrete dynamical systems
    • 3. Continuous dynamical systems
    • 4. Applications
  • Request Review Copy
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Volume: 251988
MSC: Primary 58; Secondary 34; 35;

This monograph reports the advances that have been made in the area by the author and many other mathematicians; it is an important source of ideas for the researchers interested in the subject.

Zentralblatt MATH

Although advanced, this book is a very good introduction to the subject, and the reading of the abstract part, which is elegant, is pleasant. … this monograph will be of valuable interest for those who aim to learn in the very rapidly growing subject of infinite-dimensional dissipative dynamical systems.

Mathematical Reviews

This book is directed at researchers in nonlinear ordinary and partial differential equations and at those who apply these topics to other fields of science. About one third of the book focuses on the existence and properties of the flow on the global attractor for a discrete or continuous dynamical system. The author presents a detailed discussion of abstract properties and examples of asymptotically smooth maps and semigroups. He also covers some of the continuity properties of the global attractor under perturbation, its capacity and Hausdorff dimension, and the stability of the flow on the global attractor under perturbation. The remainder of the book deals with particular equations occurring in applications and especially emphasizes delay equations, reaction-diffusion equations, and the damped wave equations. In each of the examples presented, the author shows how to verify the existence of a global attractor, and, for several examples, he discusses some properties of the flow on the global attractor.

  • Chapters
  • 1. Introduction
  • 2. Discrete dynamical systems
  • 3. Continuous dynamical systems
  • 4. Applications
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