Optimality Conditions: Abnormal and Degenerate Problems

A.V. Arutyunov (Autor)

Buch | Hardcover

300 Seiten

2000 | 2001 ed.
Kluwer Academic Publishers (Verlag)
978-0-7923-6655-3 (ISBN)

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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.

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.

Erscheint lt. Verlag	31.10.2000
Reihe/Serie	Mathematics and Its Applications ; 526
Reihe/Serie	Mathematics and Its Applications ; 526
Zusatzinfo	X, 300 p.
Verlagsort	Dordrecht
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Informatik
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
ISBN-10	0-7923-6655-7 / 0792366557
ISBN-13	978-0-7923-6655-3 / 9780792366553
Zustand	Neuware