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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Hindawi Limited
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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doaj-64824f1d679e4e3493287e8e4ae741142020-11-24T23:54:19ZengHindawi LimitedAbstract 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
O. A. Veliev |
| spellingShingle |
O. A. Veliev On the Differential Operators with Periodic Matrix Coefficients Abstract and Applied Analysis |
| author_facet |
O. A. Veliev |
| author_sort |
O. A. Veliev |
| title |
On the Differential Operators with Periodic Matrix Coefficients |
| title_short |
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_sort |
on the differential operators with periodic matrix coefficients |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2009-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/2009/934905 |
| work_keys_str_mv |
AT oaveliev onthedifferentialoperatorswithperiodicmatrixcoefficients |
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1725466282146398208 |