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TMF, 1983, Volume 57, Number 1, Pages 128–132 (Mi tmf2246)  

This article is cited in 4 scientific papers (total in 5 papers)

On Ulam's problem

L. D. Pustyl'nikov


Abstract: 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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English version:
Theoretical and Mathematical Physics, 1983, 57:1, 1035–1038

Bibliographic databases:

Received: 18.03.1983

Citation: L. D. Pustyl'nikov, “On Ulam's problem”, TMF, 57:1 (1983), 128–132; Theoret. and Math. Phys., 57:1 (1983), 1035–1038

Citation in format AMSBIB
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\by L.~D.~Pustyl'nikov
\paper On Ulam's problem
\jour TMF
\yr 1983
\vol 57
\issue 1
\pages 128--132
\mathnet{http://mi.mathnet.ru/tmf2246}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=726545}
\transl
\jour Theoret. and Math. Phys.
\yr 1983
\vol 57
\issue 1
\pages 1035--1038
\crossref{https://doi.org/10.1007/BF01028182}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1983SR12800015}


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  • http://mi.mathnet.ru/eng/tmf/v57/i1/p128

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. L. D. Pustyl'nikov, “A mechanism of irreversibility and unbounded growth of the energy in a model of statistical mechanics”, Theoret. and Math. Phys., 86:1 (1991), 82–89  mathnet  crossref  mathscinet  zmath  isi
    2. L. D. Pustyl'nikov, “Existence of invariant curves for maps close to degenerate maps, and a solution of the Fermi–Ulam problem”, Russian Acad. Sci. Sb. Math., 82:1 (1995), 231–241  mathnet  crossref  mathscinet  zmath  isi
    3. L. D. Pustyl'nikov, “Poincaré models, rigorous justification of the second element of thermodynamics on the basis of mechanics, and the Fermi acceleration mechanism”, Russian Math. Surveys, 50:1 (1995), 145–189  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    4. L. D. Pustylnikov, “Dinamicheskie sistemy s uprugimi otrazheniyami i mekhanizm uskoreniya Fermi”, Matem. prosv., ser. 3, 8, Izd-vo MTsNMO, M., 2004, 164–180  mathnet
    5. L. D. Pustylnikov, M. V. Deryabin, “Chërnye dyry i obobschënnye relyativistskie billiardy”, Preprinty IPM im. M. V. Keldysha, 2013, 054, 36 pp.  mathnet
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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