A Singular Sturm-Liouville Problem with Limit Circle Endpoints and Eigenparameter Dependent Boundary Conditions
In this paper, we investigate a class of discontinuous singular Sturm-Liouville problems with limit circle endpoints and eigenparameter dependent boundary conditions. Operator formulation is constructed and asymptotic formulas for eigenvalues and fundamental solutions are given. Moreover, the comple...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2017/9673846 |
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| _version_ | 1832553203418267648 |
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| author | Jinming Cai Zhaowen Zheng |
| author_facet | Jinming Cai Zhaowen Zheng |
| author_sort | Jinming Cai |
| collection | DOAJ |
| description | In this paper, we investigate a class of discontinuous singular Sturm-Liouville problems with limit circle endpoints and eigenparameter dependent boundary conditions. Operator formulation is constructed and asymptotic formulas for eigenvalues and fundamental solutions are given. Moreover, the completeness of eigenfunctions is discussed. |
| format | Article |
| id | doaj-art-80c11180fdbd4f979ce2ee7255e5af64 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-80c11180fdbd4f979ce2ee7255e5af642025-02-03T05:55:17ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2017-01-01201710.1155/2017/96738469673846A Singular Sturm-Liouville Problem with Limit Circle Endpoints and Eigenparameter Dependent Boundary ConditionsJinming Cai0Zhaowen Zheng1School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, ChinaIn this paper, we investigate a class of discontinuous singular Sturm-Liouville problems with limit circle endpoints and eigenparameter dependent boundary conditions. Operator formulation is constructed and asymptotic formulas for eigenvalues and fundamental solutions are given. Moreover, the completeness of eigenfunctions is discussed.http://dx.doi.org/10.1155/2017/9673846 |
| spellingShingle | Jinming Cai Zhaowen Zheng A Singular Sturm-Liouville Problem with Limit Circle Endpoints and Eigenparameter Dependent Boundary Conditions Discrete Dynamics in Nature and Society |
| title | A Singular Sturm-Liouville Problem with Limit Circle Endpoints and Eigenparameter Dependent Boundary Conditions |
| title_full | A Singular Sturm-Liouville Problem with Limit Circle Endpoints and Eigenparameter Dependent Boundary Conditions |
| title_fullStr | A Singular Sturm-Liouville Problem with Limit Circle Endpoints and Eigenparameter Dependent Boundary Conditions |
| title_full_unstemmed | A Singular Sturm-Liouville Problem with Limit Circle Endpoints and Eigenparameter Dependent Boundary Conditions |
| title_short | A Singular Sturm-Liouville Problem with Limit Circle Endpoints and Eigenparameter Dependent Boundary Conditions |
| title_sort | singular sturm liouville problem with limit circle endpoints and eigenparameter dependent boundary conditions |
| url | http://dx.doi.org/10.1155/2017/9673846 |
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