Separation of Convex Cones and Extremal Problems
In 1958 the author proved the Maximum Principle . B. Pshenichni wrote that the proof was sensational, using topology to obtain a result of variational calculus. Later the author worked out the Tent Method  as a general way to solve extremal problems. In fact, main ideas of the Method were contained in . We give here a short survey of the Tent Method and the idea of the proof of the Maximum Principle. AMS 1991 Math. Subject Classification. Primary 15A15; 52A20; Secondary 15A18; 52B12.
Key wordsoptimization variational calculus maximum principle
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- V.G. Boltyanski. “The maximum principle in the theory of optimal processes” (in Russian). Doklady Akad. Nauk SSSR 119 (1958), no. 6, 1070–1073.Google Scholar
- V. Boltyanski: “The tent method in the theory of extremal problems” (In Russian). Uspehi Mat. Nauk 30 (1975), 3–65.Google Scholar
- V.G. Boltyanski, R.V. Gamkrelidze, and L.S. Pontryagin. “On the theory of optimal processes” (in Russian). Doklady Akad. Nauk SSSR 110 (1956), no. 1, 7–10.Google Scholar
- A.A. Feldbaum. “Optimal processes in systems of automatic control” (in Russian). Avtomatika i Telemehanika 14 (1953), no. 6, 712–728.Google Scholar
- Pontryagin L., Boltyanski V., Gamkrelidze R., and Mishchenko E. Selected works. Vol 4. “The mathematical theory of optimal processes”. Classics of Soviet Mathematics. Gordon & Breach Science Publications, New York, 1986. xxiv + 360 pp.Google Scholar