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Chebyshevskii Sbornik, 2005, Volume 6, Issue 3, Pages 205–224 (Mi cheb144)  
This article is cited in 3 scientific papers (total in 3 papers)

Approximation of exponential sums in the problem on the oscillator motion caused by pushes

E. A. Karatsuba

Computing Centre of RAS
Full-text PDF (350 kB) Citations (3)
Abstract: The application of the Hardy-Littlewood-Vinogradov-Van der Corput theorem on the approximation of exponential sums by shorter ones to the solution of the problem on quasiperiodic pushes acting on harmonic oscillator is considered. New asymptotic formulas for the solution of the problem for the pushes of various forms in the presence and in the absence of friction are obtained.
Received: 30.05.2005
Bibliographic databases:
Document Type: Article
Language: English
Citation: E. A. Karatsuba, “Approximation of exponential sums in the problem on the oscillator motion caused by pushes”, Chebyshevskii Sb., 6:3 (2005), 205–224
Citation in format AMSBIB
\Bibitem{Kar05}
\by E.~A.~Karatsuba
\paper Approximation of exponential sums in the problem on the oscillator motion caused by pushes
\jour Chebyshevskii Sb.
\yr 2005
\vol 6
\issue 3
\pages 205--224
\mathnet{http://mi.mathnet.ru/cheb144}
\zmath{https://zbmath.org/?q=an:1140.11039}
Linking options:
  • https://www.mathnet.ru/eng/cheb144
  • https://www.mathnet.ru/eng/cheb/v6/i3/p205
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :119
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