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

Bilal Chanane

doi:10.1155/2015/796086

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

Bilal Chanane^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Article number	796086
Journal	Abstract and Applied Analysis
Volume	2015
DOIs	https://doi.org/10.1155/2015/796086
State	Published - 2015

Bibliographical note

Publisher Copyright:
Copyright © 2015 Bilal Chanane.

ASJC Scopus subject areas

Analysis
Applied Mathematics

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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.",

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AB - 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.

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VL - 2015

JO - Abstract and Applied Analysis

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M1 - 796086

ER -

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

Abstract

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ASJC Scopus subject areas

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