INVERSE PROBLEM FOR DIRAC OPERATORS WITH A CONSTANT DELAY LESS THAN HALF THE LENGTH OF THE INTERVAL
We study inverse spectral problems for Dirac-type functional-differential operators with a constant delay a ∈ [ π 3 , π 2 ) . We consider the asymptotic behavior of eigenvalues and research the inverse problem of recovering operators from two spectra. The main result of the paper refers to the proof...
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| Published in | Applicable analysis and discrete mathematics Vol. 17; no. 1; pp. 249 - 261 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
University of Belgrade, Serbia
01.04.2023
|
| Online Access | Get full text |
| ISSN | 1452-8630 2406-100X 2406-100X |
| DOI | 10.2298/AADM221211009D |
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| Summary: | We study inverse spectral problems for Dirac-type functional-differential operators with a constant delay
a
∈
[
π
3
,
π
2
)
. We consider the asymptotic behavior of eigenvalues and research the inverse problem of recovering operators from two spectra. The main result of the paper refers to the proof that the operator could be recovered uniquely from two spectra in the case
a
∈
[
2
π
5
,
π
2
)
, as well as the proof that it is not possible in the case
a
∈
[
π
3
,
2
π
5
)
. |
|---|---|
| ISSN: | 1452-8630 2406-100X 2406-100X |
| DOI: | 10.2298/AADM221211009D |