Theory of extremal problems (Google eBook)

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Elsevier, Jun 15, 2009 - Mathematics - 459 pages
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Contents

CHAPTER 0 INTRODUCTION BACKGROUND MATERIAL
1
CHAPTER 1 NECESSARY CONDITIONS FOR AN EXTREMUM
65
CHAPTER 2 NECESSARY CONDITIONS FOR AN EXTREMUM IN THE CLASSICAL PROBLEMS OF THE CALCULUS OF VARIATIONS AND...
93
CHAPTER 3 ELEMENTS OF CONVEX ANALYSIS
161
CHAPTER 4 LOCAL CONVEX ANALYSIS
191
CHAPTER 5 LOCALLY CONVEX PROBLEMS AND THE MAXIMUM PRINCIPLE FOR PROBLEMS WITH PHASE CONSTRAINTS
224
CHAPTER 6 SPECIAL PROBLEMS
255
CHAPTER 7 SUFFICIENT CONDITIONS FOR AN EXTREMUM
284
CHAPTER 8 MEASURABLE MULTIMAPPINGS AND CONVEX ANALYSIS OF INTEGRAL FUNCTIONALS
321
CHAPTER 9 EXISTENCE OF SOLUTIONS IN PROBLEMS OF THE CALCULUS OF VARIATIONS AND OPTIMAL CONTROL
354
CHAPTER 10 APPLICATION OF THE THEORY TO SPECIFIC PROBLEMS
404
Problems
423
Bibliography
443
Subject Index
457
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