Accurate numerical bounds for the spectral points of singular Sturm-Liouville problems over \(-\infty< x<\infty\)
This paper deals with an eigenvalue problem described by the second-order selfadjoint differential operator in Sturm-Liouville form, which is regarded as singular when it is defined on an infinite interval of \(x\). An approach to obtaining rigorous upper and lower bounds for the eigenvalues is presented. Numerical results for Dirichlet and Neumann boundary value problems of this type illustrate the efficiency of this method.
scientific article; zbMATH DE number 1423342