On the Differential Operators with Periodic Matrix Coefficients
We obtain asymptotic formulas for eigenvalues and eigenfunctions of the operator generated by a system of ordinary differential equations with summable coefficients and quasiperiodic boundary conditions. Then by using these asymptot...
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2009/934905 |
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| _version_ | 1832552918249635840 |
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| author | O. A. Veliev |
| author_facet | O. A. Veliev |
| author_sort | O. A. Veliev |
| collection | DOAJ |
| description | We obtain asymptotic formulas for eigenvalues
and eigenfunctions of the operator generated by a
system of ordinary differential equations with
summable coefficients and quasiperiodic boundary
conditions. Then by using these asymptotic formulas,
we find conditions on the coefficients for which the number of
gaps in the spectrum of the self-adjoint differential operator
with the periodic matrix coefficients is finite. |
| format | Article |
| id | doaj-art-64824f1d679e4e3493287e8e4ae74114 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-64824f1d679e4e3493287e8e4ae741142025-02-03T05:57:32ZengWileyAbstract and Applied Analysis1085-33751687-04092009-01-01200910.1155/2009/934905934905On the Differential Operators with Periodic Matrix CoefficientsO. A. Veliev0Department of Mathematics, Dogus University, Acıbadem, Kadiköy, Istanbul, TurkeyWe obtain asymptotic formulas for eigenvalues and eigenfunctions of the operator generated by a system of ordinary differential equations with summable coefficients and quasiperiodic boundary conditions. Then by using these asymptotic formulas, we find conditions on the coefficients for which the number of gaps in the spectrum of the self-adjoint differential operator with the periodic matrix coefficients is finite.http://dx.doi.org/10.1155/2009/934905 |
| spellingShingle | O. A. Veliev On the Differential Operators with Periodic Matrix Coefficients Abstract and Applied Analysis |
| title | On the Differential Operators with Periodic Matrix Coefficients |
| title_full | On the Differential Operators with Periodic Matrix Coefficients |
| title_fullStr | On the Differential Operators with Periodic Matrix Coefficients |
| title_full_unstemmed | On the Differential Operators with Periodic Matrix Coefficients |
| title_short | On the Differential Operators with Periodic Matrix Coefficients |
| title_sort | on the differential operators with periodic matrix coefficients |
| url | http://dx.doi.org/10.1155/2009/934905 |
| work_keys_str_mv | AT oaveliev onthedifferentialoperatorswithperiodicmatrixcoefficients |