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

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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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     author = {Yu. I. Brodskii},
     title = {Necessary conditions for a~weak extremum in optimal control problems on an infinite time interval},
     journal = {Sbornik. Mathematics},
     pages = {327--343},
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     volume = {34},
     number = {3},
     year = {1978},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1978_34_3_a2/}
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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/