Eigenvalues of vectorial Sturm-Liouville problems with parameter dependent boundary conditions (Q2319367)

Summary: We generalize the \textit{regularized sampling method} introduced in 2005 by the author to compute the eigenvalues of scalar Sturm-Liouville problems (SLPs) to the case of vectorial SLP with parameter dependent boundary conditions. A few problems are worked out to illustrate the effectiveness of the method and show by the same token that we have indeed a general method capable of handling with ease very broad classes of SLPs, whether scalar or vectorial.