Eigenvalue accumulation for singular Sturm-Liouville problems nonlinear in the spectral parameter

[摘要] For certain singular Sturm-Liouville equations whose coefficients depend continuously on the spectral parameter lambda in an interval Lambda it is shown that accumulation/nonaccumulation of eigenvalues at an endpoint v of Lambda is essentially determined by oscillatory properties of the equation at the boundary lambda = v. As applications new results are obtained for the radial Dirac operator and the Klein-Gordon equation. Three other physical applications are also considered. (C) 1999 Academic Press.

[发布日期] 1999-12-10