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OverviewThis book is devoted to one of the main questions of the theory of extremal problems, namely, to necessary and sufficient extremality conditions. The book consists of four parts. First, the abstract minimization problem with constraints is studied. The next chapter is devoted to one of the most important classes of extremal problems, the optimal control problem. Next, one of the main objects of the calculus of variations is studied, the integral quadratic form. Finally, local properties of smooth nonlinear mappings in a neighborhood of an abnormal point will be discussed. Audience: The book is intended for researchers interested in optimization problems. The book may also be useful for advanced students and postgraduate students. Full Product DetailsAuthor: A.V. ArutyunovPublisher: Springer Imprint: Springer Edition: Softcover reprint of hardcover 1st ed. 2001 Volume: 526 Dimensions: Width: 16.00cm , Height: 1.60cm , Length: 24.00cm Weight: 0.539kg ISBN: 9789048155965ISBN 10: 9048155967 Pages: 300 Publication Date: 07 December 2010 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock ![]() The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of Contents1 Extremal Problems with Constraints.- 2 Optimal Control Problem. Pontryagin Maximum Principle.- 3 Degenerate Quadratic Forms of The Calculus of Variations.- 4 Study of Mappings in a Neighborhood of an Abnormal Point.- References.- List of Notation.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |