On the spectra of non-selfadjoint differential operators and their adjoints in direct sum spaces
The general ordinary quasidifferential expression Mp of nth order, with complex coefficients and its formal adjoint Mp+ on any finite number of intervals Ip=(ap,bp), p=1,…, N, are considered in the setting of the direct sums of Lwp2(ap,bp)-spaces of functions defined on each of the...
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| Format: | Article |
| Language: | English |
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Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203007841 |
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| _version_ | 1832561625677168640 |
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| author | Sobhy El-Sayed Ibrahim |
| author_facet | Sobhy El-Sayed Ibrahim |
| author_sort | Sobhy El-Sayed Ibrahim |
| collection | DOAJ |
| description | The general ordinary quasidifferential expression Mp of nth
order, with complex coefficients and its formal adjoint Mp+ on any finite number of intervals
Ip=(ap,bp), p=1,…,
N, are considered in the setting of the direct sums of
Lwp2(ap,bp)-spaces of functions defined on each of the separate intervals. And a number of results concerning the location of the point spectra and regularity fields of general differential operators generated by such expressions are obtained. |
| format | Article |
| id | doaj-art-3a08b2744e4543d9952f37c19baa32d4 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-3a08b2744e4543d9952f37c19baa32d42025-02-03T01:24:34ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003955757410.1155/S0161171203007841On the spectra of non-selfadjoint differential operators and their adjoints in direct sum spacesSobhy El-Sayed Ibrahim0Department of Mathematics, Faculty of Science, Benha University, Kalubia, Benha 13518, EgyptThe general ordinary quasidifferential expression Mp of nth order, with complex coefficients and its formal adjoint Mp+ on any finite number of intervals Ip=(ap,bp), p=1,…, N, are considered in the setting of the direct sums of Lwp2(ap,bp)-spaces of functions defined on each of the separate intervals. And a number of results concerning the location of the point spectra and regularity fields of general differential operators generated by such expressions are obtained.http://dx.doi.org/10.1155/S0161171203007841 |
| spellingShingle | Sobhy El-Sayed Ibrahim On the spectra of non-selfadjoint differential operators and their adjoints in direct sum spaces International Journal of Mathematics and Mathematical Sciences |
| title | On the spectra of non-selfadjoint differential operators and their adjoints in direct sum spaces |
| title_full | On the spectra of non-selfadjoint differential operators and their adjoints in direct sum spaces |
| title_fullStr | On the spectra of non-selfadjoint differential operators and their adjoints in direct sum spaces |
| title_full_unstemmed | On the spectra of non-selfadjoint differential operators and their adjoints in direct sum spaces |
| title_short | On the spectra of non-selfadjoint differential operators and their adjoints in direct sum spaces |
| title_sort | on the spectra of non selfadjoint differential operators and their adjoints in direct sum spaces |
| url | http://dx.doi.org/10.1155/S0161171203007841 |
| work_keys_str_mv | AT sobhyelsayedibrahim onthespectraofnonselfadjointdifferentialoperatorsandtheiradjointsindirectsumspaces |