Completeness of elementary solutions of second order elliptic equations in a semi-infinite tube domain
Boundary-value problems for second order abstract differential equations on a semi-axis are considered in this article. We find isomorphisms for the corresponding operators and prove completeness of elementary solutions corresponding to subsets of eigenvalues. As an application of the abstract resul...
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| Format: | Article |
| Language: | English |
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Texas State University
2002-01-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2002/03/abstr.html |
| _version_ | 1819137132679135232 |
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| author | Yakov Yakubov |
| author_facet | Yakov Yakubov |
| author_sort | Yakov Yakubov |
| collection | DOAJ |
| description | Boundary-value problems for second order abstract differential equations on a semi-axis are considered in this article. We find isomorphisms for the corresponding operators and prove completeness of elementary solutions corresponding to subsets of eigenvalues. As an application of the abstract results, we study second order elliptic equations in semi-infinite tube domains. Our results can be applied to pure differential, integro-differential, functional-differential and equations with a shift. |
| first_indexed | 2024-12-22T10:46:01Z |
| format | Article |
| id | doaj.art-6c2a3527a56840b8957586e685a9bf92 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-22T10:46:01Z |
| publishDate | 2002-01-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-6c2a3527a56840b8957586e685a9bf922022-12-21T18:28:55ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912002-01-01200203121Completeness of elementary solutions of second order elliptic equations in a semi-infinite tube domainYakov YakubovBoundary-value problems for second order abstract differential equations on a semi-axis are considered in this article. We find isomorphisms for the corresponding operators and prove completeness of elementary solutions corresponding to subsets of eigenvalues. As an application of the abstract results, we study second order elliptic equations in semi-infinite tube domains. Our results can be applied to pure differential, integro-differential, functional-differential and equations with a shift.http://ejde.math.txstate.edu/Volumes/2002/03/abstr.htmlAbstract differential equationssecond order elliptic equationssemi-infinite tube domainsisomorphismcompleteness. |
| spellingShingle | Yakov Yakubov Completeness of elementary solutions of second order elliptic equations in a semi-infinite tube domain Electronic Journal of Differential Equations Abstract differential equations second order elliptic equations semi-infinite tube domains isomorphism completeness. |
| title | Completeness of elementary solutions of second order elliptic equations in a semi-infinite tube domain |
| title_full | Completeness of elementary solutions of second order elliptic equations in a semi-infinite tube domain |
| title_fullStr | Completeness of elementary solutions of second order elliptic equations in a semi-infinite tube domain |
| title_full_unstemmed | Completeness of elementary solutions of second order elliptic equations in a semi-infinite tube domain |
| title_short | Completeness of elementary solutions of second order elliptic equations in a semi-infinite tube domain |
| title_sort | completeness of elementary solutions of second order elliptic equations in a semi infinite tube domain |
| topic | Abstract differential equations second order elliptic equations semi-infinite tube domains isomorphism completeness. |
| url | http://ejde.math.txstate.edu/Volumes/2002/03/abstr.html |
| work_keys_str_mv | AT yakovyakubov completenessofelementarysolutionsofsecondorderellipticequationsinasemiinfinitetubedomain |