Eigenvalues of Vectorial Sturm-Liouville Problems with Parameter Dependent Boundary Conditions

Abstract EN

We generalize the regularized sampling method introduced in 2005 by the author tocompute the eigenvalues of scalar Sturm-Liouville problems (SLPs) to the case of vectorial SLP with parameterdependent boundary conditions.

A few problems are worked out to illustrate the effectiveness of the methodand show by the same token that we have indeed a general method capable of handling with ease very broadclasses of SLPs, whether scalar or vectorial.