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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |