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

Bilal Chanane

Abstract and Applied Analysis, 2015, vol. 2015, 1-9

Abstract:

We generalize the 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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:796086

DOI: 10.1155/2015/796086

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