| dc.creator |
Ugurlu, Ekin |
|
| dc.creator |
Allahverdiev, Bilender P. |
|
| dc.date |
2017-01-01T00:00:00Z |
|
| dc.date.accessioned |
2021-12-03T11:47:02Z |
|
| dc.date.available |
2021-12-03T11:47:02Z |
|
| dc.identifier |
ae3314ea-d5b6-4d67-91b1-2c38655820de |
|
| dc.identifier |
https://avesis.sdu.edu.tr/publication/details/ae3314ea-d5b6-4d67-91b1-2c38655820de/oai |
|
| dc.identifier.uri |
http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/94236 |
|
| dc.description |
In this paper a space of boundary values is constructed for direct sum minimal symmetric Sturm-Liouville operators and description of all maximal dissipative, maximal accumulative, selfadjoint and other extensions of such a symmetric operator is given in terms of boundary conditions. We construct a selfadjoint dilation of 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. We prove a theorem on completeness of the system of eigenfunctions and associated functions of the dissipative operators. |
|
| dc.language |
eng |
|
| dc.rights |
info:eu-repo/semantics/closedAccess |
|
| dc.title |
SCATTERING AND SPECTRAL PROBLEMS OF THE DIRECT SUM STURM-LIOUVILLE OPERATORS |
|
| dc.type |
info:eu-repo/semantics/article |
|