Optimality Conditions: Abnormal and Degenerate Problems (Paperback, Softcover reprint of hardcover 1st ed. 2001)

This book is devoted to one of the main questions of the theory of extremal prob lems, namely, to necessary and sufficient extremality conditions. It is intended mostly for mathematicians and also for all those who are interested in optimiza tion problems. The book may be useful for advanced students, post-graduated students, and researchers. The book consists of four chapters. In Chap. 1 we study the abstract minimization problem with constraints, which is often called the mathemati cal programming problem. Chapter 2 is devoted to one of the most important classes of extremal problems, the optimal control problem. In the third chapter we study one of the main objects of the calculus of variations, the integral quadratic form. In the concluding, fourth, chapter we study local properties of smooth nonlinear mappings in a neighborhood of an abnormal point. The problems which are studied in this book (of course, in addition to their extremal nature) are united by our main interest being in the study of the so called abnormal or degenerate problems. This is the main distinction of the present book from a large number of books devoted to theory of extremal problems, among which there are many excellent textbooks, and books such as, e.g., 13, 38, 59, 78, 82, 86, 101, 112, 119], to mention a few."

General

Imprint:	Springer
Country of origin:	Netherlands
Series:	Mathematics and Its Applications, 526
Release date:	December 2010
First published:	2000
Authors:	A. V. Arutyunov
Dimensions:	240 x 160 x 16mm (L x W x T)
Format:	Paperback
Pages:	300
Edition:	Softcover reprint of hardcover 1st ed. 2001
ISBN-13:	978-90-481-5596-5
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Real analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Calculus of variations Books > Science & Mathematics > Mathematics > Optimization > General
LSN:	90-481-5596-7
Barcode:	9789048155965

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