A boundary value problem with a discontinuous coefficient and containing a spectral parameter in the boundary condition
A singular non-self-adjoint boundary value problem is considered. This problem has a discontinuous coefficient with a spectral parameter in the boundary condition. Some solutions of the eigenvalue equation are given. The discrete spectrum is studied and the resolvent is obtained. Formulation of the...
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| Format: | Article |
| Language: | English |
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Wiley
1995-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171295000172 |
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| _version_ | 1832564311520706560 |
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| author | A. A. Darwish |
| author_facet | A. A. Darwish |
| author_sort | A. A. Darwish |
| collection | DOAJ |
| description | A singular non-self-adjoint boundary value problem is considered. This problem
has a discontinuous coefficient with a spectral parameter in the boundary condition. Some
solutions of the eigenvalue equation are given. The discrete spectrum is studied and the
resolvent is obtained. Formulation of the adjoint problem is deduced and hence the continuous
spectrum of the considered problem is given. Furthermore, the spectrum of the adjoint problem
is investigated. |
| format | Article |
| id | doaj-art-12c0045767da427fb6d26faf46c2a200 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1995-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-12c0045767da427fb6d26faf46c2a2002025-02-03T01:11:20ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251995-01-0118113314010.1155/S0161171295000172A boundary value problem with a discontinuous coefficient and containing a spectral parameter in the boundary conditionA. A. Darwish0Mathematics Department, Faculty of Science, Qatar University, Doha, QatarA singular non-self-adjoint boundary value problem is considered. This problem has a discontinuous coefficient with a spectral parameter in the boundary condition. Some solutions of the eigenvalue equation are given. The discrete spectrum is studied and the resolvent is obtained. Formulation of the adjoint problem is deduced and hence the continuous spectrum of the considered problem is given. Furthermore, the spectrum of the adjoint problem is investigated.http://dx.doi.org/10.1155/S0161171295000172boundary value problemsdiscontinuous coefficientspectral parameterresolventadjoint problem. |
| spellingShingle | A. A. Darwish A boundary value problem with a discontinuous coefficient and containing a spectral parameter in the boundary condition International Journal of Mathematics and Mathematical Sciences boundary value problems discontinuous coefficient spectral parameter resolvent adjoint problem. |
| title | A boundary value problem with a discontinuous coefficient and containing a spectral parameter in the boundary condition |
| title_full | A boundary value problem with a discontinuous coefficient and containing a spectral parameter in the boundary condition |
| title_fullStr | A boundary value problem with a discontinuous coefficient and containing a spectral parameter in the boundary condition |
| title_full_unstemmed | A boundary value problem with a discontinuous coefficient and containing a spectral parameter in the boundary condition |
| title_short | A boundary value problem with a discontinuous coefficient and containing a spectral parameter in the boundary condition |
| title_sort | boundary value problem with a discontinuous coefficient and containing a spectral parameter in the boundary condition |
| topic | boundary value problems discontinuous coefficient spectral parameter resolvent adjoint problem. |
| url | http://dx.doi.org/10.1155/S0161171295000172 |
| work_keys_str_mv | AT aadarwish aboundaryvalueproblemwithadiscontinuouscoefficientandcontainingaspectralparameterintheboundarycondition AT aadarwish boundaryvalueproblemwithadiscontinuouscoefficientandcontainingaspectralparameterintheboundarycondition |