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 ...
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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: Introduction. Discrete dynamical systems: Limit sets; Stability of invariant sets and asymptotically smooth maps; Examples of asymptotically smooth maps; Dissipativeness and global attractors; Dependence on parameters; Fixed point theorems; Stability relative to the global attractor and Morse-Smale maps; Dimension of the global attractor; Dissipativeness in two spaces; Notes and remarks. Continuous dynamical systems: Limit sets; Asymptotically smooth and $\alpha$-contracting semigroups; Stability of invariant sets; Dissipativeness and global attractors; Dependence on parameters; Periodic processes; Skew product flows; Gradient flows; Dissipativeness in two spaces; Properties of the flow on the global attractor; Notes and remarks. Applications: Retarded functional differential equations; Sectorial evolutionary equations; A scalar parabolic equation; The Navier-Stokes equation; Neutral functional differential equations; Some abstract evolutionary equations; A one-dimensional damped wave equation; A three-dimensional damped wave equation; Remarks on other applications; Dependence on parameters and approximation of the attractor. Appendix. Stable and unstable manifolds. References. Index. This is a reprint of the 1988 original. Review from Zentralblatt MATH: 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. Review from Mathematical Reviews: 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. (SURV/25.S)
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Add this copy of Asympstotic Behavior of Dissipative Systems to cart. $18.48, good condition, Sold by ThriftBooks-Atlanta rated 5.0 out of 5 stars, ships from Austell, GA, UNITED STATES, published 1988 by Amer Mathematical Society.
Add this copy of Asymptotic Behavior of Dissipative Systems to cart. $23.32, Sold by Zubal Books rated 5.0 out of 5 stars, ships from Cleveland, OH, UNITED STATES, published 1988 by American Mathematical Society.
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198 pp., Hardcover, new. -If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country.
Add this copy of Asympstotic Behavior of Dissipative Systems to cart. $33.11, good condition, Sold by Phatpocket Limited rated 4.0 out of 5 stars, ships from Waltham Abbey, ESSEX, UNITED KINGDOM, published 1988 by American Mathematical Society.
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Good. Name stamped on fore edge part of book. Ships from UK in 48 hours or less (usually same day). Your purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. Shows some signs of wear but in good overall condition. 100% money back guarantee. We are a world class secondhand bookstore based in Hertfordshire, United Kingdom and specialize in high quality textbooks across an enormous variety of subjects. We aim to provide a vast range of textbooks, rare and collectible books at a great price. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions. We provide a 100% money back guarantee and are dedicated to providing our customers with the highest standards of service in the bookselling industry.
Add this copy of Asymptotic Behavior of Dissipative Systems (Volume 25) to cart. $45.64, good condition, Sold by Anybook rated 5.0 out of 5 stars, ships from Lincoln, UNITED KINGDOM, published 1988 by American Mathematical Society.
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Volume 25. This is an ex-library book and may have the usual library/used-book markings inside. This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 650grams, ISBN: 082181527X.
Add this copy of Asympstotic Behavior of Dissipative Systems to cart. $60.98, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 1988 by Amer Mathematical Society.
Add this copy of Asympstotic Behavior of Dissipative Systems to cart. $95.34, new condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 1988 by Amer Mathematical Society.
