Description
Book SynopsisThis book presents a comprehensive treatment of necessary conditions for general optimization problems. The presentation is carried out in the context of a general theory for extremal problems in a topological vector space setting. Following a brief summary of the required background, generalized Lagrange multiplier rules are derived for optimizati
Table of Contents*Frontmatter, pg. i*CONTENTS, pg. vii*PREFACE, pg. ix*SUMMARY OF NOTATION, pg. xiii*CHAPTER I. Mathematical Preliminaries, pg. 1*CHAPTER II. A Basic Optimization Problem in Simplified Form, pg. 63*CHAPTER III. A General Multiplier Rule, pg. 96*CHAPTER IV. Optimization with Operator Equation Restrictions, pg. 144*CHAPTER V. Optimal Control Problems with Ordinary Differential Equation Constraints, pg. 212*CHAPTER VI. Optimal Control Problems with Parameters and Related Problems, pg. 263*CHAPTER VII. Miscellaneous Optimal Control Problems, pg. 315*APPENDIX. Volterra-Type Operators, pg. 361*NOTES AND HISTORICAL COMMENTS, pg. 384*REFERENCES, pg. 413*SUBJECT INDEX, pg. 422
