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

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  • Bilal Chanane

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.

Suggested Citation

  • Bilal Chanane, 2015. "Eigenvalues of Vectorial Sturm-Liouville Problems with Parameter Dependent Boundary Conditions," Abstract and Applied Analysis, Hindawi, vol. 2015, pages 1-9, January.
    • Handle: RePEc:hin:jnlaaa:796086
    DOI: 10.1155/2015/796086
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