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

Bilal Chanane

Abstract and Applied Analysis, 2015, vol. 2015, issue 1

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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https://doi.org/10.1155/2015/796086

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2015:y:2015:i:1:n:796086

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