| dc.creator |
Allahverdiev, Bilender |
|
| dc.date |
2005-04-30T21:00:00Z |
|
| dc.date.accessioned |
2020-10-06T11:00:04Z |
|
| dc.date.available |
2020-10-06T11:00:04Z |
|
| dc.identifier |
ab4d8e97-4265-41c8-99a6-f7918319ba3a |
|
| dc.identifier |
10.1007/s10440-004-7026-x |
|
| dc.identifier |
https://avesis.sdu.edu.tr/publication/details/ab4d8e97-4265-41c8-99a6-f7918319ba3a/oai |
|
| dc.identifier.uri |
http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/68967 |
|
| dc.description |
Dissipative singular Sturm-Liouville operators are studied in the Hilbert space L-w(2) [a, b) (-infinity < a < b <= infinity), that the extensions of a minimal symmetric operator in Weyl's limit-point case. We construct a selfadjoint dilation of the dissipative operator and its incoming and outgoing spectral representations, which makes it possible to determine the scattering matrix of the dilation. We also construct a functional model of the dissipative operator and define its characteristic function in terms of the Titchmarsh-Weyl function of a selfadjoint operator. Finally, ill the case when the Titchmarsh-Weyl function of the selfadjoint operator is a meromorphic in complex plane, we prove theorems oil completeness of the system of eigenfunctions and associated functions of the dissipative Sturm-Liouville operators. |
|
| dc.language |
eng |
|
| dc.rights |
info:eu-repo/semantics/closedAccess |
|
| dc.title |
Dissipative Sturm-Liouville operators in limit-point case |
|
| dc.type |
info:eu-repo/semantics/article |
|