Growth Estimates of Perturbations in Eigenvalue Problems for the Rayleigh Equation / Georgievskii D.V. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2010. ? 6. P. 44-47 [Moscow Univ. Mech. Bulletin. Vol. 65, No 6, 2010. 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.