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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, John Wiley & Sons, vol. 2015(1).
    • Handle: RePEc:wly:jnlaaa:v:2015:y:2015:i:1:n:796086
    DOI: 10.1155/2015/796086
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    References listed on IDEAS

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    1. B. Chanane & A. Boucherif, 2014. "Computation of the Eigenpairs of Two-Parameter Sturm-Liouville Problems Using the Regularized Sampling Method," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, June.
    2. B. Chanane & A. Boucherif, 2014. "Computation of the Eigenpairs of Two‐Parameter Sturm‐Liouville Problems Using the Regularized Sampling Method," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
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