| dc.creator |
Allahverdiev, Bilender |
|
| dc.date |
2021-01-01T00:00:00Z |
|
| dc.date.accessioned |
2021-12-03T12:02:42Z |
|
| dc.date.available |
2021-12-03T12:02:42Z |
|
| dc.identifier |
cbb42c26-6304-4697-bc83-3fabcb2e47c0 |
|
| dc.identifier |
10.18514/mmn.2021.2007 |
|
| dc.identifier |
https://avesis.sdu.edu.tr/publication/details/cbb42c26-6304-4697-bc83-3fabcb2e47c0/oai |
|
| dc.identifier.uri |
http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/94903 |
|
| dc.description |
In this study, we investigate the maximal dissipative singular Sturm-Liouville operators acting in the Hilbert space L-r(2) (a,b) (-infinity <= a < b <= infinity), that the extensions of a minimal symmetric operator with defect index (2; 2) (in limit-circle case at singular end points a and b). We examine two classes of dissipative operators with separated boundary conditions and we establish, for each case, a self-adjoint dilation of the dissipative operator as well as its incoming and outgoing spectral representations, which enables us to define the scattering matrix of the dilation. Moreover, we construct a functional model of the dissipative operator and identify its characteristic function in terms of the Weyl function of a self-adjoint operator. We present several theorems on completeness of the system of root functions of the dissipative operators and verify them. |
|
| dc.language |
eng |
|
| dc.rights |
info:eu-repo/semantics/closedAccess |
|
| dc.title |
DILATIONS, MODELS AND SPECTRAL PROBLEMS OF NON-SELF-ADJOINT SRURM-LIUVILLE OPERATORS |
|
| dc.type |
info:eu-repo/semantics/article |
|