Sturm-Liouville operator with general boundary conditions
We classify the general linear boundary conditions involving $u''$, $u'$ and $u$ on the boundary ${a,b}$ so that a Sturm-Liouville operator on $[a,b]$ has a unique self-adjoint extension on a suitable Hilbert space.
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| Format: | Article |
| Language: | English |
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Texas State University
2005-10-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2005/120/abstr.html |
| _version_ | 1811292904550825984 |
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| author | Ciprian G. Gal |
| author_facet | Ciprian G. Gal |
| author_sort | Ciprian G. Gal |
| collection | DOAJ |
| description | We classify the general linear boundary conditions involving $u''$, $u'$ and $u$ on the boundary ${a,b}$ so that a Sturm-Liouville operator on $[a,b]$ has a unique self-adjoint extension on a suitable Hilbert space. |
| first_indexed | 2024-04-13T04:52:33Z |
| format | Article |
| id | doaj.art-70f1aa2c4be04c8b816f46e9b9a156e4 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-13T04:52:33Z |
| publishDate | 2005-10-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-70f1aa2c4be04c8b816f46e9b9a156e42022-12-22T03:01:37ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912005-10-012005120117Sturm-Liouville operator with general boundary conditionsCiprian G. GalWe classify the general linear boundary conditions involving $u''$, $u'$ and $u$ on the boundary ${a,b}$ so that a Sturm-Liouville operator on $[a,b]$ has a unique self-adjoint extension on a suitable Hilbert space.http://ejde.math.txstate.edu/Volumes/2005/120/abstr.htmlSturm-Liouville operatorWentzell boundary conditionsnonseparated and separated boundary conditionssymmetric operators. |
| spellingShingle | Ciprian G. Gal Sturm-Liouville operator with general boundary conditions Electronic Journal of Differential Equations Sturm-Liouville operator Wentzell boundary conditions nonseparated and separated boundary conditions symmetric operators. |
| title | Sturm-Liouville operator with general boundary conditions |
| title_full | Sturm-Liouville operator with general boundary conditions |
| title_fullStr | Sturm-Liouville operator with general boundary conditions |
| title_full_unstemmed | Sturm-Liouville operator with general boundary conditions |
| title_short | Sturm-Liouville operator with general boundary conditions |
| title_sort | sturm liouville operator with general boundary conditions |
| topic | Sturm-Liouville operator Wentzell boundary conditions nonseparated and separated boundary conditions symmetric operators. |
| url | http://ejde.math.txstate.edu/Volumes/2005/120/abstr.html |
| work_keys_str_mv | AT ciprianggal sturmliouvilleoperatorwithgeneralboundaryconditions |