Optimality Conditions: Abnormal and Degenerate Problems

Author:   A.V. Arutyunov
Publisher:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 2001
Volume:   526
ISBN:  

9789048155965


Pages:   300
Publication Date:   07 December 2010
Format:   Paperback
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

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Optimality Conditions: Abnormal and Degenerate Problems


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Overview

This 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 Details

Author:   A.V. Arutyunov
Publisher:   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:  

9789048155965


ISBN 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   Availability explained
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 Contents

1 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.

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