Geodesic
On Ulam's problem
Teoretičeskaâ i matematičeskaâ fizika, Tome 57 (1983) no. 1, pp. 128-132

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The Fermi–Ulam problem is investigated, namely, an elastic ball moves vertically between two infinitely heavy horizontal plates, one of which is fixed while the other moves in a vertical direction in accordance with a periodic law. Under some assumptions that are not restrictive it is shown that for all initial data the velocity of the ball is bounded. 
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     author = {L. D. Pustyl'nikov},
     title = {On {Ulam's} problem},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {128--132},
     publisher = {mathdoc},
     volume = {57},
     number = {1},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1983_57_1_a14/}
}
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L. D. Pustyl'nikov. On Ulam's problem. Teoretičeskaâ i matematičeskaâ fizika, Tome 57 (1983) no. 1, pp. 128-132. http://geodesic.mathdoc.fr/item/TMF_1983_57_1_a14/