Dirichlet-Neumann bracketing for boundary-value problems on graphs
We consider the spectral structure of second order boundary-value problems on graphs. A variational formulation for boundary-value problems on graphs is given. As a consequence we can formulate an analogue of Dirichlet-Neumann bracketing for boundary-value problems on graphs. This in turn gives rise...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2005-08-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2005/93/abstr.html |
| _version_ | 1811292153002852352 |
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| author | Sonja Currie Bruce A. Watson |
| author_facet | Sonja Currie Bruce A. Watson |
| author_sort | Sonja Currie |
| collection | DOAJ |
| description | We consider the spectral structure of second order boundary-value problems on graphs. A variational formulation for boundary-value problems on graphs is given. As a consequence we can formulate an analogue of Dirichlet-Neumann bracketing for boundary-value problems on graphs. This in turn gives rise to eigenvalue and eigenfunction asymptotic approximations. |
| first_indexed | 2024-04-13T04:41:08Z |
| format | Article |
| id | doaj.art-0f0a9c523d994733a9297c23880bf55b |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-13T04:41:08Z |
| publishDate | 2005-08-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-0f0a9c523d994733a9297c23880bf55b2022-12-22T03:01:59ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912005-08-01200593111Dirichlet-Neumann bracketing for boundary-value problems on graphsSonja CurrieBruce A. WatsonWe consider the spectral structure of second order boundary-value problems on graphs. A variational formulation for boundary-value problems on graphs is given. As a consequence we can formulate an analogue of Dirichlet-Neumann bracketing for boundary-value problems on graphs. This in turn gives rise to eigenvalue and eigenfunction asymptotic approximations.http://ejde.math.txstate.edu/Volumes/2005/93/abstr.htmlDifferential operatorsspectrumgraphs. |
| spellingShingle | Sonja Currie Bruce A. Watson Dirichlet-Neumann bracketing for boundary-value problems on graphs Electronic Journal of Differential Equations Differential operators spectrum graphs. |
| title | Dirichlet-Neumann bracketing for boundary-value problems on graphs |
| title_full | Dirichlet-Neumann bracketing for boundary-value problems on graphs |
| title_fullStr | Dirichlet-Neumann bracketing for boundary-value problems on graphs |
| title_full_unstemmed | Dirichlet-Neumann bracketing for boundary-value problems on graphs |
| title_short | Dirichlet-Neumann bracketing for boundary-value problems on graphs |
| title_sort | dirichlet neumann bracketing for boundary value problems on graphs |
| topic | Differential operators spectrum graphs. |
| url | http://ejde.math.txstate.edu/Volumes/2005/93/abstr.html |
| work_keys_str_mv | AT sonjacurrie dirichletneumannbracketingforboundaryvalueproblemsongraphs AT bruceawatson dirichletneumannbracketingforboundaryvalueproblemsongraphs |