On the asymptotics of the spectrum for some problems, connected with oscillations of liquids

The main term of the asymptotics of the spectrum in some problems of the theory of small oscillations of liquid, partly filling a vessel, is obtained, at first one problem of the general character is discussed – “the unlocal problem of Steklov's type”. Considered problems are connected with oscillations of capillary ideal (or capillary stratified) liquid, heavy viscous liquid, capillary viscous liquid; with oscillations of a liquid in a vessel with resilien bottom.