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Theory of Extremal Problems

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Author(s): A.D. Ioffe and V.M. Tihomirov (Eds.)
Series: Studies in mathematics and its applications 6
Publisher: North-Holland
Year: 1979

Language: English
Pages: iii-x, 1-460
City: Amsterdam; New York :, New York

Content:
Edited by
Page iii

Copyright Page
Page iv

Preface
Pages v-vii

Basic Notation
Pages viii-x

0. Introduction Background Material
Pages 1-64

Chapter 1 Necessary Conditions for an Extremum
Pages 65-92

Chapter 2 Necessary Conditions for an Extremum in the Classical Problems of the Cal Culus of Variations and Optimal Control
Pages 93-160

Chapter 3 Elements of Convex Analysis
Pages 161-190

Chapter 4 Local Convex Analysis
Pages 191-223

Chapter 5 Locally Convex Problems and the Maximum Principle for Problems with Phase Constraints
Pages 224-254

Chapter 6 Special Problem
Pages 255-283

Chapter 7 Sufficient Conditions for an Extremum
Pages 284-320

Chapter 8 Measurable Multimappings and Convex Analysis of Integral Functionals
Pages 321-353

Chapter 9 Existence of Solutions in Problems of the Calculus of Variations and optimal Control
Pages 354-403

Chapter 10 Application of the Theory to Specific Problems
Pages 404-422

Problems
Pages 423-442

Bibliography
Pages 443-456

Subject Index
Pages 457-460