Copy For Citation
BAYRAM E., TAŞ K., Uğurlu E.
Turkish Journal of Mathematics, vol.45, no.6, pp.2688-2702, 2021 (SCI-Expanded)
-
Publication Type:
Article / Article
-
Volume:
45
Issue:
6
-
Publication Date:
2021
-
Doi Number:
10.3906/mat-2108-76
-
Journal Name:
Turkish Journal of Mathematics
-
Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
-
Page Numbers:
pp.2688-2702
-
Keywords:
Boundary-value problem, Completeness theorem, Dissipative operator
-
Uşak University Affiliated:
Yes
Abstract
In this paper, we consider a system of first-order equations with the same eigenvalue parameter together with dissipative boundary conditions. Applying Lax-Phillips scattering theory and Sz.-Nagy-Foiaş model operator theory we prove a completeness theorem.