Estimates on the Lower Bound of the Eigenvalue of the Smallest Modulus Associated with a General Weighted Sturm-Liouville Problem
We obtain a lower bound on the eigenvalue of smallest modulus associated with a Dirichlet problem in the general case of a regular Sturm-Liouville problem. The main motivation for this study is the result obtained by Mingarelli (1988).
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2016/7396951 |
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| _version_ | 1832548078570176512 |
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| author | Mervis Kikonko Angelo Bernado Mingarelli |
| author_facet | Mervis Kikonko Angelo Bernado Mingarelli |
| author_sort | Mervis Kikonko |
| collection | DOAJ |
| description | We obtain a lower bound on the eigenvalue of smallest modulus associated with a Dirichlet problem in the general case of a regular Sturm-Liouville problem. The main motivation for this study is the result obtained by Mingarelli (1988). |
| format | Article |
| id | doaj-art-b73ca5691ed7453e831e2ca1ffff3f8e |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-b73ca5691ed7453e831e2ca1ffff3f8e2025-02-03T06:42:24ZengWileyInternational Journal of Differential Equations1687-96431687-96512016-01-01201610.1155/2016/73969517396951Estimates on the Lower Bound of the Eigenvalue of the Smallest Modulus Associated with a General Weighted Sturm-Liouville ProblemMervis Kikonko0Angelo Bernado Mingarelli1Department of Engineering Sciences and Mathematics, Luleå University of Technology, 971 87 Luleå, SwedenSchool of Mathematics and Statistics, Carleton University, Ottawa, ON, K1S 5B6, CanadaWe obtain a lower bound on the eigenvalue of smallest modulus associated with a Dirichlet problem in the general case of a regular Sturm-Liouville problem. The main motivation for this study is the result obtained by Mingarelli (1988).http://dx.doi.org/10.1155/2016/7396951 |
| spellingShingle | Mervis Kikonko Angelo Bernado Mingarelli Estimates on the Lower Bound of the Eigenvalue of the Smallest Modulus Associated with a General Weighted Sturm-Liouville Problem International Journal of Differential Equations |
| title | Estimates on the Lower Bound of the Eigenvalue of the Smallest Modulus Associated with a General Weighted Sturm-Liouville Problem |
| title_full | Estimates on the Lower Bound of the Eigenvalue of the Smallest Modulus Associated with a General Weighted Sturm-Liouville Problem |
| title_fullStr | Estimates on the Lower Bound of the Eigenvalue of the Smallest Modulus Associated with a General Weighted Sturm-Liouville Problem |
| title_full_unstemmed | Estimates on the Lower Bound of the Eigenvalue of the Smallest Modulus Associated with a General Weighted Sturm-Liouville Problem |
| title_short | Estimates on the Lower Bound of the Eigenvalue of the Smallest Modulus Associated with a General Weighted Sturm-Liouville Problem |
| title_sort | estimates on the lower bound of the eigenvalue of the smallest modulus associated with a general weighted sturm liouville problem |
| url | http://dx.doi.org/10.1155/2016/7396951 |
| work_keys_str_mv | AT merviskikonko estimatesonthelowerboundoftheeigenvalueofthesmallestmodulusassociatedwithageneralweightedsturmliouvilleproblem AT angelobernadomingarelli estimatesonthelowerboundoftheeigenvalueofthesmallestmodulusassociatedwithageneralweightedsturmliouvilleproblem |