Solutions of the stationary Schr"odinger equation of the ordered growth on model Riemannian manifolds

We study the behaviour of solutions of the stationary Schrödinger equation on noncorhpact Riemannian manifolds of some special type. On the basis of spectral properties of considered manifolds estimations of dimensions of spaces of solutions of the stationary Schrödinger equation of the ordered growth in terms of intrinsic characteristics of the given manifolds are received.