Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika

Growth Estimates of Perturbations in Eigenvalue Problems for the Rayleigh Equation / Georgievskii D.V. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2010. № 6. P. 33-44 [Moscow Univ. Mech. Bulletin. Vol. 72, N 2, 2017. P. 136-139].

Several upper estimates for the parameter characterizing a time growth of perturbations in some eigenvalue problems for the Rayleigh equation are obtained. The impermeability conditions or the free surface conditions are accepted on the layer boundaries.

Key words: stability, Rayleigh equation, spectral problem, free surface, perturbation.

№ 6/2010

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