| dc.creator |
Allahverdiev, Bilender |
|
| dc.date |
2003-08-31T21:00:00Z |
|
| dc.date.accessioned |
2020-10-06T09:39:44Z |
|
| dc.date.available |
2020-10-06T09:39:44Z |
|
| dc.identifier |
32e6d53f-9cf8-432e-aa22-7cae576a1b13 |
|
| dc.identifier |
10.1007/s00605-003-0035-4 |
|
| dc.identifier |
https://avesis.sdu.edu.tr/publication/details/32e6d53f-9cf8-432e-aa22-7cae576a1b13/oai |
|
| dc.identifier.uri |
http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/56955 |
|
| dc.description |
A space of boundary values is constructed for the minimal symmetric singular Sturm-Liouville operator in the Hilbert space L-w(2) (a, b)(-infinity less than or equal to a < b less than or equal to infinity) with defect index (2,2) (in Weyl's limit-circle cases at singular points a and b). A description of all maximal dissipative, maximal accretive, selfadjoint and other extensions of such a symmetric operator is given in terms of boundary conditions at a and b. We investigate maximal dissipative operators with, generally speaking, nonseparated boundary conditions. We construct a selfadjoint dilation of maximal dissipative operator and its incoming and outgoing spectral representations, which makes it possible to determine the scattering matrix of dilation. We also construct a functional model of a 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 |
Dissipative Sturm-Liouville operators with nonseparated boundary conditions |
|
| dc.type |
info:eu-repo/semantics/article |
|