Lectures on mathematical theory of extremum problems

Editor's preface.- Lecture 1. Introduction.- Lecture 2. Topological linear spaces, convex sets, weak topologies.- Lecture 3. Hahn-Banach Theorem.- Lecture 4. Supporting hyperplanes and extremal points.- Lecture 5. Cones, dual cones.- Lecture 6. Necessary extremum conditions (Euler-Lagrange equation).- Lecture 7. Directions of decrease.- Lecture 8. Feasible directions.- Lecture 9. Tangent directions.- Lecture 10. Calculation of dual cones.- Lecture 11. Lagrange multipliers and the Kuhn-Tucker Theorem.- Lecture 12, Problem of optimal control. Local maximum principle.- Lecture 13. Problem of optimal control. Maximum principle.- Lecture 14. Problem of optimal control. Constraints on phase coordinates, minimax problem.- Lecture 15. Sufficient extremum conditions.- Lecture 16. Sufficient extremum conditions. Examples.- Suggestions for further reading.- References.

著者

Louvish, D.、 Girsanov I. V.、 Louvish David、 Poljak B. T.、Girsanov Igor Vladimirovich

出版社

Springer

発売日

1972年1月発売

価格

価格未定（税込・書誌情報提供：openBD）

ISBN

9783540058571

発売済み