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Matematicheskie Zametki, 1994, Volume 56, Issue 2, Pages 114–131 (Mi mzm2245)  

This article is cited in 13 scientific papers (total in 13 papers)

On an operator pencil arising in the problem of beam oscillation with internal damping

A. A. Shkalikova, R. O. Hrynivb

a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b M. V. Lomonosov Moscow State University
References:
Received: 07.12.1993
English version:
Mathematical Notes, 1994, Volume 56, Issue 2, Pages 840–851
DOI: https://doi.org/10.1007/BF02110744
Bibliographic databases:
UDC: 517
Language: Russian
Citation: A. A. Shkalikov, R. O. Hryniv, “On an operator pencil arising in the problem of beam oscillation with internal damping”, Mat. Zametki, 56:2 (1994), 114–131; Math. Notes, 56:2 (1994), 840–851
Citation in format AMSBIB
\Bibitem{ShkHry94}
\by A.~A.~Shkalikov, R.~O.~Hryniv
\paper On an operator pencil arising in the problem of beam oscillation with internal damping
\jour Mat. Zametki
\yr 1994
\vol 56
\issue 2
\pages 114--131
\mathnet{http://mi.mathnet.ru/mzm2245}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1308926}
\zmath{https://zbmath.org/?q=an:0944.47031}
\transl
\jour Math. Notes
\yr 1994
\vol 56
\issue 2
\pages 840--851
\crossref{https://doi.org/10.1007/BF02110744}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994RH68200030}
Linking options:
  • https://www.mathnet.ru/eng/mzm2245
  • https://www.mathnet.ru/eng/mzm/v56/i2/p114
  • This publication is cited in the following 13 articles:
    1. Yu. A. Tikhonov, “On the spectrum localization of an operator-function arising at studying oscillations of a viscoelastic pipeline with Kelvin–Voigt friction”, Moscow University Mathematics Bulletin, 77:2 (2022), 73–85  mathnet  crossref  mathscinet  zmath
    2. Yu. A. Tikhonov, “On the Properties of a Semigroup of Operators Generated by a Volterra Integro-Differential Equation Arising in the Theory of Viscoelasticity”, Diff Equat, 58:5 (2022), 662  crossref
    3. A. G. Baskakov, D. B. Didenko, “Spectral Analysis of Operator Polynomials and Second-Order Differential Operators”, Math. Notes, 108:4 (2020), 477–491  mathnet  crossref  crossref  mathscinet  isi  elib
    4. Tikhonov Yu.A., “Analyticity of An Operator Semigroup Arising in Viscoelasticity Problems”, Differ. Equ., 56:6 (2020), 797–812  crossref  isi
    5. A. V. Davydov, Yu. A. Tikhonov, “On Properties of the Spectrum of an Operator Pencil Arising in Viscoelasticity Theory”, Math. Notes, 103:5 (2018), 841–845  mathnet  crossref  crossref  mathscinet  isi  elib
    6. A. V. Davydov, Yu. A. Tikhonov, “Study of Kelvin–Voigt Models Arising in Viscoelasticity”, Diff Equat, 54:12 (2018), 1620  crossref
    7. V. V. Vlasov, N. A. Rautian, “Integrodifferential equations in viscoelasticity theory”, Russian Math. (Iz. VUZ), 56:6 (2012), 48–51  mathnet  crossref  mathscinet
    8. V. V. Vlasov, N. A. Rautian, A. S. Shamaev, “Analysis of operator models arising in problems of hereditary mechanics”, Journal of Mathematical Sciences, 201:5 (2014), 673–692  mathnet  crossref  mathscinet
    9. I. V. Gorokhova, “Small Transverse Vibrations of Visco-Elastic Rods”, Math. Notes, 89:6 (2011), 792–798  mathnet  crossref  crossref  mathscinet  isi
    10. A. A. Vladimirov, “On the accumulation of eigenvalues of operator pencils connected with the problem of vibrations in a viscoelastic rod”, Math. Notes, 79:3 (2006), 342–355  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    11. Vadim Adamyan, Reinhard Mennicken, Vjacheslav Pivovarchik, Recent Advances in Operator Theory, 2001, 1  crossref
    12. K. Kh. Boimatov, “On the Spectrum of a Self-Adjoint Polynomial Pencil”, Funct. Anal. Appl., 31:3 (1997), 204–207  mathnet  crossref  crossref  mathscinet  zmath  isi
    13. R. O. Hryniv, T. A. Mel'nik, “On the singular Rayleigh functional”, Math. Notes, 60:1 (1996), 97–100  mathnet  crossref  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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