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- W651290840 abstract "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." @default.
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- W651290840 date "1972-01-01" @default.
- W651290840 modified "2023-09-29" @default.
- W651290840 title "Lectures on Mathematical Theory of Extremum Problems" @default.
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