Geodesic
Necessary conditions for a weak extremum in optimal control problems on an infinite time interval
Sbornik. Mathematics, Tome 34 (1978) no. 3, pp. 327-343 Cet article a éte moissonné depuis la source Math-Net.Ru

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The work is concerned with an optimal control problem on an infinite time interval. A simple method of interpretating the Euler equation is given, which does not require the use of approximation theory. Necessary conditions for a weak extremum in the form of a local maximum principle are obtained. Bibliography: 9 titles. 
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Yu. I. Brodskii. Necessary conditions for a weak extremum in optimal control problems on an infinite time interval. Sbornik. Mathematics, Tome 34 (1978) no. 3, pp. 327-343. http://geodesic.mathdoc.fr/item/SM_1978_34_3_a2/

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[2] A. Ya. Dubovitskii, A. A. Milyutin, “Zadachi na ekstremum pri nalichii ogranichenii”, ZhVM i MF, 5:3 (1965), 395–453 | Zbl

[3] L. A. Lyusternik, V. I. Sobolev, Elementy funktsionalnogo analiza, izd-vo “Nauka”, Moskva, 1965 | MR

[4] A. Ya. Dubovitskii, Integralnyi printsip maksimuma v obschei zadache optimalnogo upravleniya, dep. v VINITI, no. 2639–74

[5] Yu. I. Brodskii, Lokalnyi printsip maksimuma dlya nepreryvnykh i diskretnykh zadach optimalnogo upravleniya na beskonechnom intervale vremeni, dep. v VINITI, no. 2562-76

[6] Yu. I. Brodskii, Printsip maksimuma L. S. Pontryagina v obschei zadache optimalnogo upravleniya, dep. v VINITI, no. 850-77

[7] A. Ya. Dubovitskii, Integralnyi printsip maksimuma v obschei zadache optimalnogo upravleniya, Doktorskaya dissertatsiya, VTs AN SSSR, 1975

[8] A. Ya. Dubovitskii, A. A. Milyutin, “Neobkhodimye usloviya slabogo ekstremuma v zadachakh optimalnogo upravleniya so smeshannymi ogranicheniyami tipa neravenstva”, ZhVM i MF, 8,:4 (1968), 725–779 | Zbl

[9] E. Khille, R. Fillips, Funktsionalnyi analiz i polugruppy, IL, Moskva, 1962