NUMERICAL SOLUTION OF STURM-LIOUVILLE PROBLEMS CONTAININGSPECTRAL PARAMETER IN BOUNDARY OR INTERFACE CONDITIONS

Abstract

Sturm-Liouville problems containing spectral parameter in the boundary or interface conditions and coefficients which are piecewise functions are considered. Using finite difference method the corresponding discrete spectral problems are obtained. The estimates for the eigenvalues and eigenfunctions which are the solutions of these spectral problems are derived.