Geodesic
Solution of a~problem of S.~Ulam on optimal matching of segments
Izvestiya. Mathematics , Tome 10 (1976) no. 3, pp. 639-651

Voir la notice de l'article provenant de la source Math-Net.Ru

Using a maximum principle a solution is found of Ulam's problem of determining a continuous motion of a unit segment from the position $AB$ to $A'B'$ under which the total path traversed by the ends of this segment is as small as possible. Bibliography: 3 titles. 
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     author = {A. Ya. Dubovitskii},
     title = {Solution of a~problem of {S.~Ulam} on optimal matching of segments},
     journal = {Izvestiya. Mathematics },
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     number = {3},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1976_10_3_a8/}
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A. Ya. Dubovitskii. Solution of a~problem of S.~Ulam on optimal matching of segments. Izvestiya. Mathematics , Tome 10 (1976) no. 3, pp. 639-651. http://geodesic.mathdoc.fr/item/IM2_1976_10_3_a8/