Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2010, Number 6, Pages 44–47 (Mi vmumm828)  
Mechanics

Growth estimates of perturbations in eigenvalue problems for the Rayleigh equation

D. V. Georgievskii

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (202 kB)
Abstract: {Several upper estimates for the parameter characterizing a time increase of perturbations in some eigenvalue problems for the Rayleigh equation are obtained. Either the impermeability conditions or the free surface conditions are accepted on layer boundaries.
Key words: stability, Rayleigh equation, spectral problem, free surface, perturbation.
Funding agency Grant number
Russian Foundation for Basic Research 08-01-00231
08-01-00251
08-01-00353
Received: 24.04.2009
Bibliographic databases:
Document Type: Article
UDC: 532.5.031+517.927.25
Language: Russian
Citation: D. V. Georgievskii, “Growth estimates of perturbations in eigenvalue problems for the Rayleigh equation”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2010, no. 6, 44–47
Citation in format AMSBIB
\Bibitem{Geo10}
\by D.~V.~Georgievskii
\paper Growth estimates of perturbations in eigenvalue problems for the Rayleigh equation
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2010
\issue 6
\pages 44--47
\mathnet{http://mi.mathnet.ru/vmumm828}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2814989}
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