The asymptotic distribution of eigenvalues of boundary problem for spherical domain

L. V. Marchenko

Far Eastern State Transport University

Abstract: Asymptotic formula with two regular members for the distribution function of eigenvalues of boundary problem $\Delta U+\lambda U= 0$, $\frac{\partial u}{\partial n}+\sigma u=0$ is obtained for spherical domain.

Key words: eigenvalues, distribution function.

UDC: 517.956

MSC: 35P20

Received: 26.01.2010