Optimality Conditions: Abnormal and Degenerate Problems
By: by Aram V. Arutyunov
Series: Mathematics and Its Applications -- 526; Mathematics and Its Applications -- 526
Publisher: Springer Netherlands
Published: 2000
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] /
Number of pages: 299
ISBN-13: 9789048155965; 9789401594387
Subjects: Differential Equations; Mathematics; Mathematical optimization
Description: 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.
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