Eigenvalues of Vectorial Sturm-Liouville Problems with Parameter Dependent Boundary Conditions
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 a...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/796086 |
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| _version_ | 1850233523095470080 |
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| author | Bilal Chanane |
| author_facet | Bilal Chanane |
| author_sort | Bilal Chanane |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-0bef42991fa248c2b7422befe9e344c1 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-0bef42991fa248c2b7422befe9e344c12025-08-20T02:02:55ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/796086796086Eigenvalues of Vectorial Sturm-Liouville Problems with Parameter Dependent Boundary ConditionsBilal Chanane0Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, P.O. Box 1235, Dhahran 31261, Saudi ArabiaWe 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.http://dx.doi.org/10.1155/2015/796086 |
| spellingShingle | Bilal Chanane Eigenvalues of Vectorial Sturm-Liouville Problems with Parameter Dependent Boundary Conditions Abstract and Applied Analysis |
| title | Eigenvalues of Vectorial Sturm-Liouville Problems with Parameter Dependent Boundary Conditions |
| title_full | Eigenvalues of Vectorial Sturm-Liouville Problems with Parameter Dependent Boundary Conditions |
| title_fullStr | Eigenvalues of Vectorial Sturm-Liouville Problems with Parameter Dependent Boundary Conditions |
| title_full_unstemmed | Eigenvalues of Vectorial Sturm-Liouville Problems with Parameter Dependent Boundary Conditions |
| title_short | Eigenvalues of Vectorial Sturm-Liouville Problems with Parameter Dependent Boundary Conditions |
| title_sort | eigenvalues of vectorial sturm liouville problems with parameter dependent boundary conditions |
| url | http://dx.doi.org/10.1155/2015/796086 |
| work_keys_str_mv | AT bilalchanane eigenvaluesofvectorialsturmliouvilleproblemswithparameterdependentboundaryconditions |