| dc.creator | Kir, Esra | |
| dc.creator | Bascanbaz-Tunca, Gülen | |
| dc.creator | Yanik, Canan | |
| dc.date | 2017-04-20 | |
| dc.identifier | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1476 | |
| dc.identifier | 10.4067/10.4067/S0716-09172005000100005 | |
| dc.description | In this paper we investigated the spectrum of the operator L(?) generated in Hilbert Space of vector-valued functions L2 (R+, C2) by the system iy0 1 + q1 (x) y2 = ?y1, ?iy0 2 + q2 (x) y1 = ?y2 (0.1) , x ?R+ := [0,?), and the spectral parameter- dependent boundary condition (a1? + b1) y2 (0, ?) ? (a2? + b2) y1 (0, ?)=0, where ? is a complex parameter, qi, i = 1, 2 are complex-valued functions ai 6= 0, bi 6= 0, i = 1, 2 are complex constants. Under the condition sup x?R+ {exp ?x |qi (x)|} < ?, i = 1, 2,?> 0, we proved that L(?) has a finite number of eigenvalues and spectral singularities with finite multiplicities. Furthermore we show that the principal functions corresponding to eigenvalues of L(?) belong to the space L2 (R+, {C2) and the principal functions corresponding to spectral singularities belong to a Hilbert space containing L2 (R+, C2). | es-ES |
| dc.format | application/pdf | |
| dc.language | spa | |
| dc.publisher | Universidad Católica del Norte. | en-US |
| dc.relation | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1476/1255 | |
| dc.rights | Copyright (c) 2005 Proyecciones. Journal of Mathematics | en-US |
| dc.source | Proyecciones (Antofagasta, On line); Vol. 24 No. 1 (2005); 49-63 | en-US |
| dc.source | Proyecciones. Revista de Matemática; Vol. 24 Núm. 1 (2005); 49-63 | es-ES |
| dc.source | 0717-6279 | |
| dc.subject | Spectrum | es-ES |
| dc.subject | Spectral Singularities | es-ES |
| dc.subject | Non-Selfadjoint System of Differential Equations. | es-ES |
| dc.title | Spectral properties of a non selfadjoint system of differential equations with a spectral parameter in the boundary condition | es-ES |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
| dc.type | Peer-reviewed Article | en-US |
