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Tangency, flow invariance for differential equations, and optimization problems

Author: D Motreanu; N H Pavel
Publisher: New York : M. Dekker, ©1999.
Series: Monographs and textbooks in pure and applied mathematics, 219.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"This unique reference/text presents a great deal of material that is completely new to the field of flow invariance, offering fresh insights for experienced mathematicians and rigorous training for students new to the specialty. Its four useful appendices supply the methods used throughout the book, making it a totally self-referential and self-contained unit."--BOOK JACKET. "Containing over 1900 helpful equations,  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: D Motreanu; N H Pavel
ISBN: 0824773411 9780824773410
OCLC Number: 41238478
Description: x, 479 pages ; 24 cm.
Contents: Ch. 1. Tangent Vectors to Closed Sets --
Ch. 2. Flow-Invariant Sets --
Ch. 3. Second Order Differential Equations and Flow-Invariance --
Ch. 4. Flow Invariant Sets with Respect to Semilinear Differential Equation y' = Ay + f (t, y) --
Ch. 5. A Transversality Approach to Flow-Invariance --
Ch. 6. Optimization and Optimal Control Via Tangential Cones --
Ch. 7. Critical Point Theory on Flow-Invariant Sets --
App. 1. Elements of Nonlinear Analysis --
App. 2. The Approximate Difference Scheme and Nonlinear Semigroups --
App. 3. Banach Manifolds and Vector Fields --
App. 4. Generalized Gradients.
Series Title: Monographs and textbooks in pure and applied mathematics, 219.
Responsibility: Dumitru Motreanu, Nicolae Pavel.
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Abstract:

Presents material that is fresh to the field of flow invariance, offering fresh insights for experienced mathematicians and training for students new to the specialty. This book includes four  Read more...

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"By the way of considered problems and the originality of some approaches, this book is an important reference in pure and applied mathematics, more precisely in nonlinear analysis, optimization, Read more...

 
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